Many theories of quantum gravity propose Lorentz-violating dispersion relations of the form $omega_{|mathbf{k}|}=|mathbf{k}|f(|mathbf{k}|/M_star)$, which approximately recover to the Lorentz invariance, $omega_{|mathbf{k}|}approx|mathbf{k}|$, at the energy scales much below $M_star$. However, usually such a scale is assumed to be near the Planck scale, thus the feature of the Lorentz-violating theory is weak and its experimental test becomes extremely challenging. Since the geometric phase (GP) is of accumulative and sensitive nature to weak effects, here we explore the GP acquired by an inertial atomic detector that is coupled to a quantum field with this kind of Lorentz-violating dispersion. We show that for the Lorentz-violating field theory case the GP depends on the velocity of the detector, which is quite different from the Lorentz symmetry case where the GP is independent of the detector's velocity. In particular, we show that the GP may present a drastic low-energy Lorentz violation for any $f$ that dips below unity somewhere. We apply our analysis to detecting the polymer quantization motivated by loop quantum gravity, and show the detector acquires an experimentally detectable GP with the assist of detector's velocity that below current ion collider rapidities. Furthermore, the accumulative nature of GP might facilitate the relevant detection significantly.
许多量子引力理论都提出了形式为$omega_{|mathbf{k}|}=|mathbf{k}|f(|mathbf{k}|/M_star)$的违反洛伦兹的色散关系，在能量尺度远低于$M_star$的情况下，它近似地恢复了洛伦兹不变性，即$omega_{|mathbf{k}|}approx|mathbf{k}|$。然而，通常这样的尺度被假定为接近普朗克斯尺度，因此洛伦兹违拗理论的特征很弱，对它的实验检验变得极具挑战性。由于几何相位（GP）对弱效应具有累积性和敏感性，我们在此探讨了惯性原子探测器获得的GP，该探测器与具有这种违反洛伦兹色散的量子场耦合。我们发现，在违反洛伦兹场论的情况下，GP 值取决于探测器的速度，这与洛伦兹对称情况下的 GP 值与探测器的速度无关是完全不同的。我们特别指出，GPm可能会在任何$f$的某处骤降到统一以下时出现严重的低能洛伦兹违反。我们把分析结果应用于探测环量子引力激发的聚合物量子化，结果表明，在低于当前离子对撞机速度的探测器速度的辅助下，探测器会获得实验可探测到的GP。此外，GP的累积性可能会大大促进相关探测。
{"title":"Geometric phase assisted detection of Lorentz-invariance violation from modified dispersion at high energies","authors":"Yihao Wu, Zehua Tian","doi":"arxiv-2409.09257","DOIUrl":"https://doi.org/arxiv-2409.09257","url":null,"abstract":"Many theories of quantum gravity propose Lorentz-violating dispersion\u0000relations of the form\u0000$omega_{|mathbf{k}|}=|mathbf{k}|f(|mathbf{k}|/M_star)$, which\u0000approximately recover to the Lorentz invariance,\u0000$omega_{|mathbf{k}|}approx|mathbf{k}|$, at the energy scales much below\u0000$M_star$. However, usually such a scale is assumed to be near the Planck\u0000scale, thus the feature of the Lorentz-violating theory is weak and its\u0000experimental test becomes extremely challenging. Since the geometric phase (GP)\u0000is of accumulative and sensitive nature to weak effects, here we explore the GP\u0000acquired by an inertial atomic detector that is coupled to a quantum field with\u0000this kind of Lorentz-violating dispersion. We show that for the\u0000Lorentz-violating field theory case the GP depends on the velocity of the\u0000detector, which is quite different from the Lorentz symmetry case where the GP\u0000is independent of the detector's velocity. In particular, we show that the GP\u0000may present a drastic low-energy Lorentz violation for any $f$ that dips below\u0000unity somewhere. We apply our analysis to detecting the polymer quantization\u0000motivated by loop quantum gravity, and show the detector acquires an\u0000experimentally detectable GP with the assist of detector's velocity that below\u0000current ion collider rapidities. Furthermore, the accumulative nature of GP\u0000might facilitate the relevant detection significantly.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Osmin Lacombe, Lorenzo Paoloni, Francisco G. Pedro
In this paper we study higher-derivative supersymmetric effective field theories focusing on the systematic procedure for the elimination of ghosts from the spectrum. Particular attention is paid to the auxiliary fields, for which the higher-derivative terms induce non-algebraic equations of motion. By employing field redefinitions or the reduction of order procedure (both in component and superfield language) we show that the auxiliary fields remain non-dynamical in the EFT and that on shell they give rise to both derivative and non-derivative corrections to the scalar action. These methods are applied to the search for a SUSY embedding of the DBI action and to the dimensional reduction of HD terms for the K"ahler moduli in type IIB string compactifications.
{"title":"Higher-derivative supersymmetric effective field theories","authors":"Osmin Lacombe, Lorenzo Paoloni, Francisco G. Pedro","doi":"arxiv-2409.08984","DOIUrl":"https://doi.org/arxiv-2409.08984","url":null,"abstract":"In this paper we study higher-derivative supersymmetric effective field\u0000theories focusing on the systematic procedure for the elimination of ghosts\u0000from the spectrum. Particular attention is paid to the auxiliary fields, for\u0000which the higher-derivative terms induce non-algebraic equations of motion. By\u0000employing field redefinitions or the reduction of order procedure (both in\u0000component and superfield language) we show that the auxiliary fields remain\u0000non-dynamical in the EFT and that on shell they give rise to both derivative\u0000and non-derivative corrections to the scalar action. These methods are applied\u0000to the search for a SUSY embedding of the DBI action and to the dimensional\u0000reduction of HD terms for the K\"ahler moduli in type IIB string\u0000compactifications.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
These lecture notes cover the Standard Model (SM) course for Part III of the Cambridge Mathematical Tripos, taught during the years 2020-2023. The course comprised 25 lectures and 4 example classes. Following a brief historical introduction, the SM is constructed from first principles. We begin by demonstrating that essentially only particles with spin/helicity $0, frac{1}{2}, 1, frac{3}{2}, 2$ can describe matter and interactions, using spacetime symmetries, soft theorems, gauge redundancies, Ward identities, and perturbative unitarity. The remaining freedom lies in the choice of the Yang-Mills gauge group and matter representations. Effective field theories (EFTs) are a central theme throughout the course, with the 4-Fermi interactions and chiral perturbation theory serving as key examples. Both gravity and the SM itself are treated as EFTs, specifically as the SMEFT (Standard Model Effective Field Theory). Key phenomenological aspects of the SM are covered, including the Higgs mechanism, Yukawa couplings, the CKM matrix, the GIM mechanism, neutrino oscillations, running couplings, and asymptotic freedom. The discussion of anomalies and their non-trivial cancellations in the SM is detailed. Simple examples of calculations, such as scattering amplitudes and decay rates, are provided. The course concludes with a brief overview of the limitations of the SM and an introduction to the leading proposals for physics beyond the Standard Model.
这些讲义涵盖了 2020-2023 年期间讲授的剑桥数学三科课程第三部分的标准模型（SM）课程。该课程包括 25 个讲座和 4 个示例课。在简短的历史介绍之后，我们从第一原理出发构建了标准模型。首先，我们利用时空对称性、软定理、量规冗余、沃德等效性和微扰统一性，证明基本上只有自旋/斜率为$0,frac{1}{2}, 1, frac{3}{2},2$的粒子才能描述物质和相互作用。其余的自由度在于对杨-米尔斯规规群和物质表征的选择。有效场理论（EFTs）是整个课程的核心主题，4-费米相互作用和手性扰动理论是主要的例子。引力和SM本身都被视为EFT，特别是SMEFT（标准模型有效场理论）。内容涉及 SM 的关键现象学方面，包括希格斯机制、尤卡瓦耦合、CKM 矩阵、GIM 机制、中微子振荡、运行耦合和渐近自由。详细讨论了 SM 中的反常现象及其非难对消。课程还提供了简单的计算实例，如散射振幅和衰变率。课程最后简要概述了 SM 的局限性，并介绍了关于标准模型之外物理学的主要建议。
{"title":"Cambridge Lectures on The Standard Model","authors":"Fernando Quevedo, Andreas Schachner","doi":"arxiv-2409.09211","DOIUrl":"https://doi.org/arxiv-2409.09211","url":null,"abstract":"These lecture notes cover the Standard Model (SM) course for Part III of the\u0000Cambridge Mathematical Tripos, taught during the years 2020-2023. The course\u0000comprised 25 lectures and 4 example classes. Following a brief historical\u0000introduction, the SM is constructed from first principles. We begin by\u0000demonstrating that essentially only particles with spin/helicity $0,\u0000frac{1}{2}, 1, frac{3}{2}, 2$ can describe matter and interactions, using\u0000spacetime symmetries, soft theorems, gauge redundancies, Ward identities, and\u0000perturbative unitarity. The remaining freedom lies in the choice of the\u0000Yang-Mills gauge group and matter representations. Effective field theories\u0000(EFTs) are a central theme throughout the course, with the 4-Fermi interactions\u0000and chiral perturbation theory serving as key examples. Both gravity and the SM\u0000itself are treated as EFTs, specifically as the SMEFT (Standard Model Effective\u0000Field Theory). Key phenomenological aspects of the SM are covered, including\u0000the Higgs mechanism, Yukawa couplings, the CKM matrix, the GIM mechanism,\u0000neutrino oscillations, running couplings, and asymptotic freedom. The\u0000discussion of anomalies and their non-trivial cancellations in the SM is\u0000detailed. Simple examples of calculations, such as scattering amplitudes and\u0000decay rates, are provided. The course concludes with a brief overview of the\u0000limitations of the SM and an introduction to the leading proposals for physics\u0000beyond the Standard Model.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"197 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We consider protected operators with the same conformal dimensions in the ultraviolet and infrared fixed point. We derive a sum rule for the difference between the two-point function coefficient of these operators in the ultraviolet and infrared fixed point which depends on the two-point function of the scalar operator. In even dimensional conformal field theories, scalar operators with exactly integer conformal dimensions are associated with Type-B conformal anomalies. The sum rule, in these cases, computes differences between Type-B anomaly coefficients. We argue the positivity of this difference in cases in which the conformal manifold contains weakly coupled theories. The results are tested in free theories as well as in $mathcal N = 2$ superconformal QCD, necklace quivers and holographic RG flows. We further derive sum rules for currents and stress tensor two-point functions.
我们考虑了紫外定点和红外定点中具有相同共形维数的受保护算子。我们推导出这些算子在紫外定点和红外定点的两点函数系数之差的总和规则，它取决于标量算子的两点函数。在偶维共形场论中，具有精确整数共形维度的标量算子与B型共形反常现象相关。在这些情况下，求和规则计算的是B型反常系数之间的差值。我们论证了在共形流形包含弱耦合理论的情况下这种差值的正向性。我们在自由理论以及$mathcal N = 2$超共形QCD、项链四元组和全息RG流中检验了这些结果。我们进一步得出了电流和应力张量两点函数的和规则。
{"title":"Constraints on RG Flows from Protected Operators","authors":"Florent Baume, Alessio Miscioscia, Elli Pomoni","doi":"arxiv-2409.09006","DOIUrl":"https://doi.org/arxiv-2409.09006","url":null,"abstract":"We consider protected operators with the same conformal dimensions in the\u0000ultraviolet and infrared fixed point. We derive a sum rule for the difference\u0000between the two-point function coefficient of these operators in the\u0000ultraviolet and infrared fixed point which depends on the two-point function of\u0000the scalar operator. In even dimensional conformal field theories, scalar\u0000operators with exactly integer conformal dimensions are associated with Type-B\u0000conformal anomalies. The sum rule, in these cases, computes differences between\u0000Type-B anomaly coefficients. We argue the positivity of this difference in\u0000cases in which the conformal manifold contains weakly coupled theories. The\u0000results are tested in free theories as well as in $mathcal N = 2$\u0000superconformal QCD, necklace quivers and holographic RG flows. We further\u0000derive sum rules for currents and stress tensor two-point functions.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Motivated by string theory scenarios, we study the optical aspect of AdS black holes in Einstein-Maxwell-dilaton theory. Concretely, we investigate and examine the shadows and the deflection angle of light rays by such cosmological black holes. Concerning the shadows, we first deal with the non-rotating solutions. In particular, we obtain perfect circular shadows where their sizes are controlled by the involved parameter including the charge and the cosmological constant. Combining the Newman-Janis formalism and the Hamilton-Jacobi algorithm, we approach the rotating black hole solutions using real curves. Among others, we observe that the size and shape shadows depend on the rotating parameter and the remaining ones. To make contact with Event Horizon Telescope observational data, we show that certain constrains should be imposed on such parameters. Then, we study the behaviors of the light rays near to such cosmological black holes by computing the deflection angle in terms of Einstein-Maxwell-dilaton theory parameters. Specifically, we reveal that the effect of the cosmological constant on the deflection angle changes as the coupling between the black hole parameters is adjusted. When the rotation parameter is introduced, we observe this effect becomes similar to that of the cosmological constant in ordinary AdS black holes.
{"title":"Optical Aspect of Cosmological Black Holes in Einstein-Maxwell-Dilaton Theory","authors":"Hajar Belmahi, Amin Mohamed Rbah","doi":"arxiv-2409.08903","DOIUrl":"https://doi.org/arxiv-2409.08903","url":null,"abstract":"Motivated by string theory scenarios, we study the optical aspect of AdS\u0000black holes in Einstein-Maxwell-dilaton theory. Concretely, we investigate and\u0000examine the shadows and the deflection angle of light rays by such cosmological\u0000black holes. Concerning the shadows, we first deal with the non-rotating\u0000solutions. In particular, we obtain perfect circular shadows where their sizes\u0000are controlled by the involved parameter including the charge and the\u0000cosmological constant. Combining the Newman-Janis formalism and the\u0000Hamilton-Jacobi algorithm, we approach the rotating black hole solutions using\u0000real curves. Among others, we observe that the size and shape shadows depend on\u0000the rotating parameter and the remaining ones. To make contact with Event\u0000Horizon Telescope observational data, we show that certain constrains should be\u0000imposed on such parameters. Then, we study the behaviors of the light rays near\u0000to such cosmological black holes by computing the deflection angle in terms of\u0000Einstein-Maxwell-dilaton theory parameters. Specifically, we reveal that the\u0000effect of the cosmological constant on the deflection angle changes as the\u0000coupling between the black hole parameters is adjusted. When the rotation\u0000parameter is introduced, we observe this effect becomes similar to that of the\u0000cosmological constant in ordinary AdS black holes.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"65 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mudassar Sabir, Tianjun Li, Adeel Mansha, Zhi-Wei Wang
Recently, the complete landscape of three-family supersymmetric Pati-Salam models from intersecting D6-branes on a type IIA $mathbb{T}^6/(mathbb{Z}_2times mathbb{Z}_2)$ orientifold has been enumerated consisting of 33 independent models with distinct gauge coupling relations at the string scale. Here, we study the phenomenology of all such models by providing the detailed particle spectra and the analysis of the possible 3-point and the 4-point Yukawa interactions in order to accommodate all standard-model fermion masses and mixings. We find that only 17 models contain viable Yukawa textures to explain quarks masses, charged-leptons' masses, neutrino-masses, quarks' mixings and leptons' mixings. These viable models split into four classes, viz. a single model with 3 Higgs fields from the bulk and sixteen models with either 6, 9 or 12 Higgs from the $mathcal{N}=2$ sector. The models perform successively better with the increasing number of Higgs pairs. Remarkably, the class of models with 12 Higgs naturally predicts the Dirac-type neutrino masses in normal ordering consistent with both the experimental constraints as well as the bounds from the swampland program.
{"title":"Fermion masses and mixings in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes","authors":"Mudassar Sabir, Tianjun Li, Adeel Mansha, Zhi-Wei Wang","doi":"arxiv-2409.09110","DOIUrl":"https://doi.org/arxiv-2409.09110","url":null,"abstract":"Recently, the complete landscape of three-family supersymmetric Pati-Salam\u0000models from intersecting D6-branes on a type IIA\u0000$mathbb{T}^6/(mathbb{Z}_2times mathbb{Z}_2)$ orientifold has been\u0000enumerated consisting of 33 independent models with distinct gauge coupling\u0000relations at the string scale. Here, we study the phenomenology of all such\u0000models by providing the detailed particle spectra and the analysis of the\u0000possible 3-point and the 4-point Yukawa interactions in order to accommodate\u0000all standard-model fermion masses and mixings. We find that only 17 models\u0000contain viable Yukawa textures to explain quarks masses, charged-leptons'\u0000masses, neutrino-masses, quarks' mixings and leptons' mixings. These viable\u0000models split into four classes, viz. a single model with 3 Higgs fields from\u0000the bulk and sixteen models with either 6, 9 or 12 Higgs from the\u0000$mathcal{N}=2$ sector. The models perform successively better with the\u0000increasing number of Higgs pairs. Remarkably, the class of models with 12 Higgs\u0000naturally predicts the Dirac-type neutrino masses in normal ordering consistent\u0000with both the experimental constraints as well as the bounds from the swampland\u0000program.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Starting from the Wheeler-DeWitt equation for the Schwarzschild black hole interior, which is derived from a Hamiltonian formulated in terms of canonical phase space coordinates, we show that by applying a simple reparametrization, this equation can be expressed as the eigenvalue equation of a quantum linear harmonic oscillator. Within the standard quantization framework, we find that the resulting wave function diverges in the region of the classical singularity, and the expectation value of the Kretschmann scalar is undefined for all states within the black hole. However, when we apply the minimal uncertainty approach to the quantization process, we obtain a wave function that is both well-defined and square-integrable. Additionally, the expectation value of the Kretschmann scalar for these states remains finite throughout the black hole's interior, suggesting that the classical singularity is resolved in this approach, replaced it by a minimum radius.
{"title":"Quantum Black Hole as a Harmonic Oscillator from the Perspective of the Minimum Uncertainty Approach","authors":"Octavio Obregón, Wilfredo Yupanqui","doi":"arxiv-2409.09181","DOIUrl":"https://doi.org/arxiv-2409.09181","url":null,"abstract":"Starting from the Wheeler-DeWitt equation for the Schwarzschild black hole\u0000interior, which is derived from a Hamiltonian formulated in terms of canonical\u0000phase space coordinates, we show that by applying a simple reparametrization,\u0000this equation can be expressed as the eigenvalue equation of a quantum linear\u0000harmonic oscillator. Within the standard quantization framework, we find that\u0000the resulting wave function diverges in the region of the classical\u0000singularity, and the expectation value of the Kretschmann scalar is undefined\u0000for all states within the black hole. However, when we apply the minimal\u0000uncertainty approach to the quantization process, we obtain a wave function\u0000that is both well-defined and square-integrable. Additionally, the expectation\u0000value of the Kretschmann scalar for these states remains finite throughout the\u0000black hole's interior, suggesting that the classical singularity is resolved in\u0000this approach, replaced it by a minimum radius.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We identify the universal mechanism behind the thermalization of (1+1)d QFTs at high and low temperatures. Viewing these theories as CFTs perturbed by relevant or irrelevant deformations, we show that conformal perturbation theory in the thermal state breaks down at late times allowing for the emergence of hydrodynamics. This breakdown occurs universally due to the unsuppressed exchange of stress tensors near the lightcone. Furthermore, for theories with central charge $crightarrowinfty$ we solve for the emergent hydrodynamic theory to all orders in the gradient expansion by arguing that all transport parameters appearing in two-point functions have universal expressions in terms of the scaling dimension $Delta$ of the perturbation. The radius of convergence of the hydrodynamic dispersion relations provides an early time cutoff for hydrodynamics, which agrees with the time scale at which conformal perturbation theory breaks down.
{"title":"Universal thermalization dynamics in (1+1)d QFTs","authors":"Richard A. Davison, Luca V. Delacretaz","doi":"arxiv-2409.09112","DOIUrl":"https://doi.org/arxiv-2409.09112","url":null,"abstract":"We identify the universal mechanism behind the thermalization of (1+1)d QFTs\u0000at high and low temperatures. Viewing these theories as CFTs perturbed by\u0000relevant or irrelevant deformations, we show that conformal perturbation theory\u0000in the thermal state breaks down at late times allowing for the emergence of\u0000hydrodynamics. This breakdown occurs universally due to the unsuppressed\u0000exchange of stress tensors near the lightcone. Furthermore, for theories with\u0000central charge $crightarrowinfty$ we solve for the emergent hydrodynamic\u0000theory to all orders in the gradient expansion by arguing that all transport\u0000parameters appearing in two-point functions have universal expressions in terms\u0000of the scaling dimension $Delta$ of the perturbation. The radius of\u0000convergence of the hydrodynamic dispersion relations provides an early time\u0000cutoff for hydrodynamics, which agrees with the time scale at which conformal\u0000perturbation theory breaks down.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"191 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work we investigate several phenomenological and technical aspects related to electroweak (EW) corrections at a high-energy muon collider, focusing on direct production processes (no VBF configurations). We study in detail the accuracy of the Sudakov approximation, in particular the Denner-Pozzorini algorithm, comparing it with exact calculations at NLO EW accuracy. We also assess the relevance of resumming EW Sudakov logarithms (EWSL) at 3 and 10 TeV collisions. Furthermore, we scrutinise the impact of additional Heavy Boson Radiation (HBR), namely the weak emission of $W, Z$, and Higgs bosons in inclusive and semi-inclusive configurations. All results are obtained via the fully automated and publicly available code MadGraph5_aMC@NLO.
在这项工作中，我们研究了在高能μ介子对撞机上与电弱（EW）修正相关的几个现象学和技术方面，重点是直接生产过程（无VBF构型）。我们详细研究了苏达科夫近似的精确度，特别是登纳-波佐里尼算法，并将其与 NLO EW 精确度的精确计算结果进行了比较。我们还评估了在 3 TeV 和 10 TeV 对撞中重和 EW 苏达科夫对数（EWSL）的相关性。此外，我们还仔细研究了附加重玻色子辐射（HBR）的影响，即在包容和半包容构型中$W、Z$和希格斯玻色子的弱辐射。所有结果都是通过全自动公开代码 MadGraph5_aMC@NLO 获得的。
{"title":"EW corrections and Heavy Boson Radiation at a high-energy muon collider","authors":"Yang Ma, Davide Pagani, Marco Zaro","doi":"arxiv-2409.09129","DOIUrl":"https://doi.org/arxiv-2409.09129","url":null,"abstract":"In this work we investigate several phenomenological and technical aspects\u0000related to electroweak (EW) corrections at a high-energy muon collider,\u0000focusing on direct production processes (no VBF configurations). We study in\u0000detail the accuracy of the Sudakov approximation, in particular the\u0000Denner-Pozzorini algorithm, comparing it with exact calculations at NLO EW\u0000accuracy. We also assess the relevance of resumming EW Sudakov logarithms\u0000(EWSL) at 3 and 10 TeV collisions. Furthermore, we scrutinise the impact of\u0000additional Heavy Boson Radiation (HBR), namely the weak emission of $W, Z$, and\u0000Higgs bosons in inclusive and semi-inclusive configurations. All results are\u0000obtained via the fully automated and publicly available code MadGraph5_aMC@NLO.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"205 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dominik Stamen, Daniel Winney, Arkaitz Rodas, Cesar Fernandez-Ramirez, Vincent Mathieu, Gloria Montana, Alessandro Pilloni, Adam P. Szczepaniak
The construction of general amplitudes satisfying symmetries and $S$-matrix constraints has been the primary tool in studying the spectrum of hadrons for over half a century. In this work, we present a new parameterization, which can fulfill many expectations of $S$-matrix and Regge theory and connects the essential physics of hadron scattering in the resonance region and in asymptotic limits. In this construction, dynamical information is entirely contained in Regge trajectories that generalize resonance poles in the complex energy plane to moving poles in the angular momentum plane. We highlight the salient features of the model, compare with existing literature on dispersive and dual amplitudes, and benchmark the formalism with an initial numerical application to the $rho$ and $sigma/f_0(500)$ mesons in $pipi$ scattering.
{"title":"Towards a unified description of hadron scattering at all energies","authors":"Dominik Stamen, Daniel Winney, Arkaitz Rodas, Cesar Fernandez-Ramirez, Vincent Mathieu, Gloria Montana, Alessandro Pilloni, Adam P. Szczepaniak","doi":"arxiv-2409.09172","DOIUrl":"https://doi.org/arxiv-2409.09172","url":null,"abstract":"The construction of general amplitudes satisfying symmetries and $S$-matrix\u0000constraints has been the primary tool in studying the spectrum of hadrons for\u0000over half a century. In this work, we present a new parameterization, which can\u0000fulfill many expectations of $S$-matrix and Regge theory and connects the\u0000essential physics of hadron scattering in the resonance region and in\u0000asymptotic limits. In this construction, dynamical information is entirely\u0000contained in Regge trajectories that generalize resonance poles in the complex\u0000energy plane to moving poles in the angular momentum plane. We highlight the\u0000salient features of the model, compare with existing literature on dispersive\u0000and dual amplitudes, and benchmark the formalism with an initial numerical\u0000application to the $rho$ and $sigma/f_0(500)$ mesons in $pipi$ scattering.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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