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One-loop renormalization of the type-I seesaw model in the on-shell scheme on-shell格式中i型跷跷板模型的单环重整化
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-17 DOI: 10.1016/j.nuclphysb.2025.117271
Jihong Huang , Shun Zhou
In this paper, we continue to carry out the one-loop renormalization of the type-I seesaw model in the on-shell scheme. Different from the modified minimal-subtraction (MS) scheme, such an investigation is mainly motivated by the fact that the on-shell scheme has been widely adopted in the renormalization of the standard electroweak theory and implemented for its precision tests. We first specify the physical parameters in the on-shell scheme, and then fix the corresponding counterterms through on-shell renormalization conditions. In the presence of massive Majorana neutrinos, we propose a practical method to determine gauge-independent counterterms for the lepton flavor mixing matrix. With the explicit counterterms in both the MS and on-shell schemes, we establish the matching relations of the electric charge, physical masses and flavor mixing matrix elements between these two schemes. Our results in the present and previous papers lay the foundation for precision calculations in the type-I seesaw model.
在本文中,我们继续在壳上格式中对i型跷跷板模型进行单环重整化。与修改的最小减去(MS)形式不同,这样的研究主要是由于上壳形式在标准电弱理论的重整化中被广泛采用,并为其精度测试而实施。我们首先在壳上格式中指定物理参数,然后通过壳上重整化条件确定相应的反项。在存在大量马约拉纳中微子的情况下,我们提出了一种实用的方法来确定轻子风味混合矩阵的非量规反项。利用MS形式和壳上形式的显式反项,建立了这两种形式之间的电荷、物理质量和风味混合矩阵元素的匹配关系。本文和前人的研究结果为i型跷跷板模型的精确计算奠定了基础。
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引用次数: 0
Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes 类ms减法方案中多重耦合理论的重整化常数结构
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-17 DOI: 10.1016/j.nuclphysb.2025.117272
G.V. Kovyrshin , N.P. Meshcheriakov , V.V. Shatalova , K.V. Stepanyantz
For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all divergences are logarithmical. These expressions allow relating all coefficients at ε-poles, logarithms, and (if exist) mixed terms to the coefficients of the renormalization group functions in any order of the perturbation theory for MS-like renormalization prescriptions. The result admits such a formulation in that ε-poles and ln Λ/μ enter on the same footing. For theories with two and three couplings we present explicit expressions for the pole/logarithm structure of renormalization constants in the lowest orders of the perturbation theory. They are verified by comparisons with the two-loop explicit calculation for N=1 SQCD+SQED and also with the previously known three-loop calculations for the φ4-theory with two couplings.
对于具有多重耦合的理论,假设所有散度都是对数的,我们构造了四维(或一般的整维)重整化常数的简单表达式。这些表达式允许将ε-极点、对数和(如果存在的话)混合项的所有系数与类ms重整化处方的任何阶摄动理论重整化群函数的系数联系起来。结果表明ε-极点与ln Λ/μ处于同一位置。对于二耦合和三耦合理论,给出了微扰理论最低阶重整化常数的极/对数结构的显式表达式。通过与N=1 SQCD+SQED的双环显式计算以及先前已知的具有两个耦合的φ4理论的三环计算的比较,验证了它们。
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引用次数: 0
Singularity-free cosmic journey beyond the big bang: Insights from f(R,T) theory 超越大爆炸的无奇点宇宙之旅:来自f(R,T)理论的见解
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-16 DOI: 10.1016/j.nuclphysb.2025.117249
Shamraiza Shabbir , M. Zeeshan Gul , M. Sharif , Nusrat Fatima
This article examines the late time cosmic evolution in the presence of bulk viscous fluid defined by a specific viscosity coefficient (ξ) as ξ=ξ0(tτ0)2nH in the framework of f(R,T) gravity. In this context, R represents the Ricci scalar, T describes the trace of energy-momentum tensor, H is Hubble parameter, ξ0, τ0 and n are positive constants. This study aims to explore the role of bulk viscosity in describing the dynamics of the early cosmos with a particular focus on the scenario of non-singular bounce. A particular form of the f(R,T) gravity model is chosen to assess how this modified gravity framework influences cosmic evolution. Moreover, we examine the conduct of various cosmological parameters to explore the presence of feasible cosmological bounce solutions. We also use linear perturbation to study the stability analysis. Our findings reveal the positive behavior of energy density, negative behavior of pressure as well as the violation of null energy condition and strong energy condition, which is required for the existence of viable bounce solutions. It is found that this gravitational theory effectively presents viable alternatives to the standard cosmological scenarios, hence providing valuable understanding of the gravitational force and the early universe.
本文研究了在f(R, t)引力框架下,由特定粘性系数(ξ)定义为ξ=ξ0(t - τ0) - 2nH的大块粘性流体存在下的宇宙演化。在这种情况下,R表示里奇标量,T描述能量动量张量的轨迹,H是哈勃参数,ξ0, τ0和n是正常数。本研究旨在探讨体粘度在描述早期宇宙动力学中的作用,并特别关注非奇异弹跳的情况。选择f(R,T)引力模型的一种特殊形式来评估这种修正的引力框架如何影响宇宙演化。此外,我们考察了各种宇宙学参数的行为,以探索可行的宇宙学弹跳解的存在。我们还使用线性摄动来研究稳定性分析。我们的发现揭示了能量密度的正行为,压力的负行为,以及零能条件和强能条件的违反,这是可行弹跳解存在的必要条件。研究发现,这一引力理论有效地为标准宇宙学情景提供了可行的替代方案,从而对引力和早期宇宙提供了有价值的理解。
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引用次数: 0
Scattering of quantum particles in global de Sitter spacetime II: Scalars in deep infrared 全局德西特时空中量子粒子的散射II:深红外标量
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-15 DOI: 10.1016/j.nuclphysb.2025.117265
Tomasz R. Taylor , Bin Zhu
We apply the S-matrix formalism developed in Part I to the interacting scalar theory in four-dimensional de Sitter spacetime. The amplitudes are computed in the angular momentum basis, appropriate to the representations of SO(1, 4) de Sitter symmetry group. We discuss the properties of wavefunctions in Bunch-Davies vacuum and derive a new integral representation for the Feynman propagator. We focus on deep infrared processes probing the large scale structure of spacetime, in particular on the processes that are normally forbidden by the energy-momentum conservation laws in flat spacetime. We find that there are no stable particles in self-interacting scalar field theory, but the decay rates are exponentially suppressed for particles with masses far above ℏ/cℓ, where ℓ is the de Sitter radius. We also show that the “all out” amplitudes describing multiparticle production from the vacuum are identically zero, hence Bunch-Davies vacuum is stable with respect to the matter interactions. We show that at the tree level, all scattering amplitudes are infrared finite, well-defined functions of quantum numbers. They have no kinematic singularities, except for the processes involving conformally coupled scalars.
我们将第一部分中发展的s矩阵形式理论应用于四维德西特时空中的相互作用标量理论。振幅在角动量基础上计算,适合于SO(1,4) de Sitter对称群的表示。讨论了Bunch-Davies真空中波函数的性质,推导了费曼传播子的一种新的积分表示。我们专注于探测大尺度时空结构的深红外过程,特别是在平坦时空中通常被能量-动量守恒定律所禁止的过程。我们发现在自相互作用标量场理论中不存在稳定粒子,但对于质量远高于h /c的粒子,衰减率被指数抑制,其中h为德西特半径。我们还证明了描述从真空中产生多粒子的“全部输出”振幅相同为零,因此班奇-戴维斯真空相对于物质相互作用是稳定的。我们证明,在树的水平上,所有的散射振幅是红外有限的,量子数的定义良好的函数。除了涉及共形耦合标量的过程外,它们没有运动奇点。
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引用次数: 0
f(R, Σ, T) gravity and cosmic acceleration: A comprehensive analysis of physical and kinematical parameters f(R, Σ, T)重力和宇宙加速度:物理和运动学参数的综合分析
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-15 DOI: 10.1016/j.nuclphysb.2025.117245
S.H. Shekh , Anil Kumar Yadav , Anirudh Pradhan , Nafis Ahmad
This study investigates the cosmological implications of the modified gravity model f(R, Σ, T), which extends general relativity by incorporating additional geometric and matter-energy contributions. The model is explored within a homogeneous and isotropic Friedmann-Robertson-Walker (FRW) universe, utilizing a deceleration parameterization q(z) to analyze the evolution of cosmic acceleration. The framework includes key physical parameters such as energy density ρ, isotropic pressure p, the equation of state parameter ω, and energy conditions. Observational constraints from Hubble parameter data is employed to determine best-fit values for H0, q0, and q1. Also, the study examines the dynamical evolution of dark energy through the (ωω) plane, statefinder diagnostics {r, s}, and the Om(z) diagnostic, which offer a comparative analysis against the standard ΛCDM model. The results indicate that the present-day universe follows a quintessence-like trajectory. Notably, the model satisfies the Null and Dominant Energy Conditions, while violating the Strong Energy Condition, a necessary feature for explaining cosmic acceleration.
本研究探讨了修正引力模型f(R, Σ, T)的宇宙学意义,该模型通过纳入额外的几何和物质能量贡献来扩展广义相对论。该模型是在一个均匀和各向同性的弗里德曼-罗伯逊-沃克(FRW)宇宙中探索的,利用减速参数化q(z)来分析宇宙加速度的演化。该框架包括关键的物理参数,如能量密度ρ、各向同性压力p、状态方程参数ω和能量条件。利用哈勃参数数据的观测约束来确定H0、q0和q1的最佳拟合值。此外,该研究还通过(ω−ω’)平面、状态检测器诊断{r, s}和Om(z)诊断检查了暗能量的动态演化,这些诊断提供了与标准ΛCDM模型的比较分析。结果表明,今天的宇宙遵循着一个类似精髓的轨迹。值得注意的是,该模型满足零能量和优势能量条件,而违反了解释宇宙加速的必要特征强能量条件。
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引用次数: 0
Single-field inflation with K-essence model: Predictions, constraints, and theoretical viewpoints 具有k -本质模型的单场暴胀:预测、约束和理论观点
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-15 DOI: 10.1016/j.nuclphysb.2025.117248
Fereshteh Felegary , Thammarong Eadkhong , Farruh Atamurotov , Phongpichit Channuie
This work investigates a single-field inflationary model - a specific class of K-essence models - in which a coupling term exists between the canonical Lagrangian and the potential. This coupling term influences key inflationary parameters such as the power spectral index, the tensor-to-scalar ratio, the Hubble parameter, the equation of state parameter, and the slow-roll parameter. By solving the equations both numerically and analytically, we explore how this modification affects inflationary dynamics. Our results indicate that the coupling term, α, reduces inflationary parameters such as the tensor-to-scalar ratio, r, and improves the consistency with observational constraints from Planck and BICEP / Keck at confidence levels 68 % and 95 %. These findings show that the studied model provides a promising alternative for describing early universe dynamics while aligning with recent cosmological observations.
本文研究了一种单场暴胀模型——一种特殊的k -本质模型——其中正则拉格朗日和势之间存在耦合项。该耦合项影响了关键的暴胀参数,如功率谱指数、张量标量比、哈勃参数、状态方程参数和慢滚参数。通过数值和解析求解方程,我们探讨了这种修正如何影响暴胀动力学。我们的研究结果表明,耦合项α降低了膨胀参数,如张量标量比r,并在68%和95%的置信水平上提高了与普朗克和BICEP / Keck观测约束的一致性。这些发现表明,所研究的模型为描述早期宇宙动力学提供了一个有希望的替代方案,同时与最近的宇宙学观测相一致。
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引用次数: 0
Three types of dual Grothendieck universal characters and integrable systems 三种对偶Grothendieck普适特性与可积系统
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-14 DOI: 10.1016/j.nuclphysb.2025.117261
Jinzhou Liu, Denghui Li, Zhaowen Yan
We construct vertex operator realizations of the π-type dual Grothendieck universal characters with partitions π=(3),π=(2,1) and π=(13). Furthermore, these three types of dual Grothendieck universal characters are extended to their multiparameter versions. By establishing linear transformations of the vertex operator representations for three types of dual Grothendieck universal characters, we present their generating functions, explicit combinatorial formulas, and stability property.
构造了π=(3)、π=(2,1)和π=(13)的π型对偶Grothendieck泛字符的顶点算子实现。进一步,将这三种双格罗腾狄克通用字符推广到它们的多参数版本。通过建立三种对偶Grothendieck泛字符的顶点算子表示的线性变换,给出了它们的生成函数、显式组合公式和稳定性。
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引用次数: 0
Investigating wormhole structures in f(R,Lm) gravity: Implications for dark matter 研究f(R,Lm)引力中的虫洞结构:对暗物质的启示
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-13 DOI: 10.1016/j.nuclphysb.2025.117258
H Aruna Kumara , Chaitra Chooda Chalavadi , V. Venkatesha
This study rigorously examines the influence of dark matter within the framework of f(R,Lm) gravity, with a particular emphasis on its critical role in facilitating traversable wormhole solutions. By employing anisotropic matter sources modeled through Bose-Einstein condensates and Einasto density profiles, we derive a novel class of wormhole solutions. The construction of the shape function relies on the density profile equation in conjunction with modified field equations, thereby establishing a theoretical foundation for these solutions. Careful selection of parameters ensures that the proposed solutions satisfy all requisite conditions for traversability. Moreover, we conduct a systematic evaluation of energy conditions across two distinct scenarios, further validating the physical viability of the models. The investigation also extends to analyzing anisotropic effects, exoticity parameters, and active gravitational mass. This work presents a comprehensive exploration of the physical feasibility and stability of wormhole structures within the context of f(R,Lm) modified gravity theories, offering significant contributions to our understanding of the interplay between dark matter and advanced gravitational phenomena.
本研究严格检验了暗物质在f(R,Lm)引力框架内的影响,特别强调了它在促进可穿越虫洞解决方案中的关键作用。通过利用玻色-爱因斯坦凝聚体和爱因斯坦密度曲线模拟的各向异性物质源,我们得到了一类新的虫洞解。形状函数的构造依赖于密度剖面方程和修正场方程,从而为这些解建立了理论基础。仔细选择参数确保所提出的解决方案满足可遍历性的所有必要条件。此外,我们对两种不同情景下的能量条件进行了系统评估,进一步验证了模型的物理可行性。研究还扩展到分析各向异性效应、外来性参数和有效引力质量。这项工作在f(R,Lm)修正引力理论的背景下,对虫洞结构的物理可行性和稳定性进行了全面的探索,为我们理解暗物质与高级引力现象之间的相互作用做出了重大贡献。
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引用次数: 0
Thin-shell configurations in Hayward profile: Dynamical stability, shadows, and light deflection angle 海沃德剖面的薄壳结构:动态稳定性、阴影和光偏转角
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-12 DOI: 10.1016/j.nuclphysb.2025.117251
Rabia Saleem , Naila Aslam , Muhammad Israr Aslam
This study investigates the geometric configurations and dynamical behavior of thin-shell structures within the Hayward black hole (BH) framework. Using the Klein-Gordon (KG) equation and equation of motion, we analyze the evolution of thin-shells composed of massless and massive scalar fields, revealing distinct behaviors: monotonic collapse for massless fields and collapse to expansion transitions for massive fields. Stability analysis under radial perturbations shows that quintessence and dark energy equations of state yield stable configurations, while phantom energy remains unstable. The magnetic charge parameter g plays a crucial role, with larger values enhancing stability and reducing collapse tendencies. Optical properties are examined through shadow analysis, demonstrating that increasing g reduces the shadow radius, while finite distance observer effects cause systematic variations in apparent size and angular diameter. Application of the Gauss-Bonnet (GB) theorem reveals standard gravitational lensing behavior, with the weak deflection angle varying consistently with impact parameter u. A comparative analysis with Schwarzschild geometry shows distinctive strong-field deflection characteristics while maintaining weak-field consistency, highlighting the interplay between scalar fields, magnetic charge, and spacetime regularity in regular BH physics.
本研究探讨了海沃德黑洞(BH)框架内薄壳结构的几何构型和动力学行为。利用Klein-Gordon (KG)方程和运动方程,分析了由无质量标量场和有质量标量场组成的薄壳的演化过程,揭示了薄壳在无质量标量场中的单调坍缩和在有质量标量场中的坍缩到膨胀跃迁的不同行为。径向扰动下的稳定性分析表明,态的精粹方程和暗能量方程产生稳定构型,而幻能仍然不稳定。磁荷参数g起着至关重要的作用,其值越大,稳定性越强,坍塌倾向越低。通过阴影分析考察了光学性质,表明增加g会减小阴影半径,而有限距离观察者效应会导致表观尺寸和角直径的系统变化。高斯-邦尼定理的应用揭示了标准的引力透镜行为,弱偏转角与撞击参数u一致变化。与史瓦西几何的对比分析显示,在保持弱场一致性的同时,强场偏转特征明显,突出了标准黑洞物理中标量场、磁荷和时空规律性之间的相互作用。
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引用次数: 0
Reconstructing inflation in a generalized Rastall theory of gravity 在广义拉斯托引力理论中重建暴胀
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-12-12 DOI: 10.1016/j.nuclphysb.2025.117246
Ramón Herrera , Carlos Ríos
We investigate the reconstruction of standard and generalized Rastall gravity inflationary models, using the scalar spectral index and the Rastall parameter expressed as functions of the number of efolds N. Within a general formalism, we derive the effective potential in terms of the relevant cosmological parameters and the Rastall parameter for these gravity frameworks. As a specific example, we analyze the attractor ns(N)1N1, first by considering constant values of the Rastall parameter to reconstruct the inflationary stage in standard Rastall gravity, and then by assuming a linear dependence on the number of efolds N to reconstruct the inflationary model in generalized Rastall gravity. Thus, the reconstruction of the potential V(ϕ) is obtained for both standard and generalized Rastall gravity inflationary models. In both frameworks, we constrain key parameters of the reconstructed models during inflation using the latest observational data from Planck.
我们利用标量谱指数和Rastall参数表示为e -折叠数n的函数,研究了标准和广义Rastall重力暴胀模型的重建。在一个一般的形式中,我们导出了这些重力框架中有关宇宙学参数和Rastall参数的有效势。作为一个具体的例子,我们分析了吸引子ns(N)−1∝N−1,首先通过考虑Rastall参数的常数值来重建标准Rastall引力中的暴胀阶段,然后通过假设e−折叠N的个数与N的线性相关来重建广义Rastall引力中的暴胀模型。因此,得到了标准和广义拉斯托引力暴胀模型的势V(φ)的重建。在这两个框架中,我们使用来自普朗克的最新观测数据来约束暴胀期间重建模型的关键参数。
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引用次数: 0
期刊
Nuclear Physics B
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