We derive the light-front wave function (LFWF) representation of the $gamma^{star} gamma^{star} to eta_{c} (1S),eta_{c}(2S)$ transition form factor $F(Q^2_1,Q^2_2)$ for two virtual photons in the initial state. For the LFWF, we use different models obtained from the solution of the Schrodinger equation for a variety of $cbar{c}$ potentials. We compare our results to the BaBar experimental data for the $eta_{c}(1S)$ transition form factor, for one real and one virtual photon. We observe that the onset of the asymptotic behaviour is strongly delayed and discuss applicability of the collinear and/or massless limit. In addition, we present a thorough analysis of $eta_{c}(1S,2S)$ quarkonia hadroproduction in $k_{perp}$-factorisation in the framework of the light-front potential approach for the quarkonium wave function. The off-shell matrix elements for the $g^{star} g^{star} to eta_{c} (1S,2S)$ vertices are derived. We discuss the importance of taking into account the gluon virtualities. We present the transverse momentum distributions of $eta_c$ for several models of the unintegrated gluon distributions. Our calculations are performed for four distinct parametrizations for the $cbar{c}$ interaction potential consistent with the meson spectra. We compare our results for $eta_{c}(1S)$ to measurements by the LHCb collaboration and present predictions for $eta_{c}(2S)$ production.
我们推导了初始状态下两个虚光子的$gamma^{star} gamma^{star} to eta_{c} (1S),eta_{c}(2S)$跃迁形状因子$F(Q^2_1,Q^2_2)$的光前波函数(LFWF)表示。对于LFWF，我们使用从薛定谔方程解中得到的不同模型来计算各种$cbar{c}$势。我们比较了我们的结果与BaBar实验数据的$eta_{c}(1S)$跃迁形状因子，一个实光子和一个虚光子。我们观察到渐近行为的开始是强延迟的，并讨论了共线和/或无质量极限的适用性。此外，我们在夸克子波函数的光锋势方法的框架下，对$k_{perp}$分解过程中$eta_{c}(1S,2S)$夸克子的产氢进行了深入的分析。推导了$g^{star} g^{star} to eta_{c} (1S,2S)$顶点的离壳矩阵元素。我们讨论了考虑胶子虚性的重要性。我们给出了几种未积分胶子分布模型$eta_c$的横向动量分布。我们对与介子谱一致的$cbar{c}$相互作用势进行了四种不同的参数化计算。我们将$eta_{c}(1S)$的结果与LHCb合作的测量结果进行了比较，并对$eta_{c}(2S)$的产量进行了预测。
{"title":"Production of $eta_c(1S,2S)$ in $e^+ e^-$ and $p p$ collisions","authors":"I. Babiarz, W. Schafer, A. Szczurek","doi":"10.22323/1.390.0449","DOIUrl":"https://doi.org/10.22323/1.390.0449","url":null,"abstract":"We derive the light-front wave function (LFWF) representation of the $gamma^{star} gamma^{star} to eta_{c} (1S),eta_{c}(2S)$ transition form factor $F(Q^2_1,Q^2_2)$ for two virtual photons in the initial state. For the LFWF, we use different models obtained from the solution of the Schrodinger equation for a variety of $cbar{c}$ potentials. We compare our results to the BaBar experimental data for the $eta_{c}(1S)$ transition form factor, for one real and one virtual photon. We observe that the onset of the asymptotic behaviour is strongly delayed and discuss applicability of the collinear and/or massless limit. \u0000In addition, we present a thorough analysis of $eta_{c}(1S,2S)$ quarkonia hadroproduction in $k_{perp}$-factorisation in the framework of the light-front potential approach for the quarkonium wave function. The off-shell matrix elements for the $g^{star} g^{star} to eta_{c} (1S,2S)$ vertices are derived. We discuss the importance of taking into account the gluon virtualities. We present the transverse momentum distributions of $eta_c$ for several models of the unintegrated gluon distributions. Our calculations are performed for four distinct parametrizations for the $cbar{c}$ interaction potential consistent with the meson spectra. We compare our results for $eta_{c}(1S)$ to measurements by the LHCb collaboration and present predictions for $eta_{c}(2S)$ production.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76174817","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}
Pub Date : 2020-12-08DOI: 10.1140/EPJC/S10052-021-09096-7
Bo-Cheng Yang, Liang Tang, C. Qiao
{"title":"Scalar fully-heavy tetraquark states $$QQ^prime {bar{Q}} bar{Q^prime }$$ in QCD sum rules","authors":"Bo-Cheng Yang, Liang Tang, C. Qiao","doi":"10.1140/EPJC/S10052-021-09096-7","DOIUrl":"https://doi.org/10.1140/EPJC/S10052-021-09096-7","url":null,"abstract":"","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"54 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90255908","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}
Pub Date : 2020-12-07DOI: 10.1103/PhysRevC.103.064904
Sigtryggur Hauksson, S. Jeon, C. Gale
Penetrating probes in heavy-ion collisions, like jets and photons, are sensitive to the transport coefficients of the produced quark-gluon plasma, such as shear and bulk viscosity. Quantifying this sensitivity requires a detailed understanding of photon emission and jet-medium interaction in a non-equilibrium plasma. Up to now, such an understanding has been hindered by plasma instabilities which arise out of equilibrium and lead to spurious divergences when evaluating the rate of interaction of hard probes with the plasma. In this paper, we show that taking into account the time evolution of an unstable plasma cures these divergences. We calculate the time evolution of gluon two-point correlators in a setup with small initial momentum anisotropy and show that the gluon occupation density grows exponentially at early times. Based on this calculation, we argue for a phenomenological prescription where instability poles are subtracted. Finally, we show that in the Abelian case instability fields do not affect medium-induced photon emission to our order of approximation.
{"title":"Probes of the quark-gluon plasma and plasma instabilities","authors":"Sigtryggur Hauksson, S. Jeon, C. Gale","doi":"10.1103/PhysRevC.103.064904","DOIUrl":"https://doi.org/10.1103/PhysRevC.103.064904","url":null,"abstract":"Penetrating probes in heavy-ion collisions, like jets and photons, are sensitive to the transport coefficients of the produced quark-gluon plasma, such as shear and bulk viscosity. Quantifying this sensitivity requires a detailed understanding of photon emission and jet-medium interaction in a non-equilibrium plasma. Up to now, such an understanding has been hindered by plasma instabilities which arise out of equilibrium and lead to spurious divergences when evaluating the rate of interaction of hard probes with the plasma. In this paper, we show that taking into account the time evolution of an unstable plasma cures these divergences. We calculate the time evolution of gluon two-point correlators in a setup with small initial momentum anisotropy and show that the gluon occupation density grows exponentially at early times. Based on this calculation, we argue for a phenomenological prescription where instability poles are subtracted. Finally, we show that in the Abelian case instability fields do not affect medium-induced photon emission to our order of approximation.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"208 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90521296","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}
Pub Date : 2020-12-07DOI: 10.1103/PhysRevD.104.014019
T. Altinoluk, G. Beuf, A. Czajka, Arantxa Tymowska
We derive Next-to-Eikonal (NEik) corrections to the background quark propagator, which stem from (i) considering a finite longitudinal width target instead of an infinitely thin shockwave and (ii) including the interaction of the quark with the transverse components of the background field. These two different corrections to the eikonal approximation combine together and provides a gauge covariant expression for the quark propagator at NEik accuracy. We then apply our results to quark (or antiquark) scattering on a nucleus at NEik accuracy, considering both unpolarized cross section and helicity asymmetry.
{"title":"Quarks at next-to-eikonal accuracy in the CGC: Forward quark-nucleus scattering","authors":"T. Altinoluk, G. Beuf, A. Czajka, Arantxa Tymowska","doi":"10.1103/PhysRevD.104.014019","DOIUrl":"https://doi.org/10.1103/PhysRevD.104.014019","url":null,"abstract":"We derive Next-to-Eikonal (NEik) corrections to the background quark propagator, which stem from (i) considering a finite longitudinal width target instead of an infinitely thin shockwave and (ii) including the interaction of the quark with the transverse components of the background field. These two different corrections to the eikonal approximation combine together and provides a gauge covariant expression for the quark propagator at NEik accuracy. We then apply our results to quark (or antiquark) scattering on a nucleus at NEik accuracy, considering both unpolarized cross section and helicity asymmetry.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"285 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86407801","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}
Pub Date : 2020-12-07DOI: 10.1103/PHYSREVD.103.014012
W. Lucha, D. Melikhov, H. Sazdjian
We discuss the Operator Product Expansion (OPE) and quark-hadron duality for two-point Green functions of tetraquark currents. We emphasize that the factorizable part of the OPE series for such Green functions, including nonperturbative contributions described by QCD condensates, is saturated by the full system of ordinary hadrons and therefore cannot have any relationship to the possible tetraquark bound states. Possible tetraquark bound states may be contained in nonfactorizable parts of these Green functions. In the framework of the $1/N_c$ expansion in QCD$(N_c)$, nonfactorizable parts of the two-point Green functions of tetraquark currents provide $N_c$-suppressed contributions compared to the $N_c$-leading factorizable parts. A possible exotic tetraquark state may appear only in $N_c$-subleading contributions to the QCD Green functions, in full accord with the well-known rigorous properties of large-$N_c$ QCD.
{"title":"OPE and quark-hadron duality for two-point functions of tetraquark currents in the \u00001/Nc\u0000 expansion","authors":"W. Lucha, D. Melikhov, H. Sazdjian","doi":"10.1103/PHYSREVD.103.014012","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.014012","url":null,"abstract":"We discuss the Operator Product Expansion (OPE) and quark-hadron duality for two-point Green functions of tetraquark currents. We emphasize that the factorizable part of the OPE series for such Green functions, including nonperturbative contributions described by QCD condensates, is saturated by the full system of ordinary hadrons and therefore cannot have any relationship to the possible tetraquark bound states. Possible tetraquark bound states may be contained in nonfactorizable parts of these Green functions. In the framework of the $1/N_c$ expansion in QCD$(N_c)$, nonfactorizable parts of the two-point Green functions of tetraquark currents provide $N_c$-suppressed contributions compared to the $N_c$-leading factorizable parts. A possible exotic tetraquark state may appear only in $N_c$-subleading contributions to the QCD Green functions, in full accord with the well-known rigorous properties of large-$N_c$ QCD.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"105 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89939911","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}
Pub Date : 2020-12-07DOI: 10.1103/PhysRevD.103.L051705
C. S. Fong
In this work, we classify all the effective $U(1)$ symmetries and their associated Noether charges in the Standard Model and its supersymmetric extension from the highest scale after inflation down to the weak scale. We then demonstrate that the discovery of the violation of baryon minus lepton number at any scale above $30$ TeV will open up a new window of baryogenesis in these effective charges above this scale. We also provide several examples where baryogenesis can proceed through out-of-equilibrium dynamics without explicitly breaking baryon nor lepton number.
{"title":"Baryogenesis in the standard model and its supersymmetric extension","authors":"C. S. Fong","doi":"10.1103/PhysRevD.103.L051705","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.L051705","url":null,"abstract":"In this work, we classify all the effective $U(1)$ symmetries and their associated Noether charges in the Standard Model and its supersymmetric extension from the highest scale after inflation down to the weak scale. We then demonstrate that the discovery of the violation of baryon minus lepton number at any scale above $30$ TeV will open up a new window of baryogenesis in these effective charges above this scale. We also provide several examples where baryogenesis can proceed through out-of-equilibrium dynamics without explicitly breaking baryon nor lepton number.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83343003","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}
Pub Date : 2020-12-06DOI: 10.1142/S0217751X2150038X
M. C. Rodriguez
We build a supersymmetric version with $SU(3)_{C}otimes SU(2)_{L}otimes U(1)_{Y^{prime}}otimes U(1)_{(B-L)}$ gauge symmetry, where $Y^{prime}$ is a new charge and ($B$) and ($L$) are the usual baryonic and leptonic numbers, respectivelly. The model has three right-handed neutrinos with non identical $(B-L)$ charges. We will use the superfield formalism in order to build our lagrangian and it is possible to accommodate all fermion masses at the tree level. In particular, the type-I seesaw mechanism is implemented for the generation of the active neutrino masses and also explain the mixing angle at the fermion sector. There are good candidates to Dark Matter, it can be the lighest righ-handed neutrinos or lighest right-handed sneutrinos or the lighest usual scalar field and due a Majorana phase at sneutrinos right-handed masses, it can induce Leptogenesis in this model.
{"title":"The supersymmetric (B − L) model with three nonidentical right-handed neutrinos","authors":"M. C. Rodriguez","doi":"10.1142/S0217751X2150038X","DOIUrl":"https://doi.org/10.1142/S0217751X2150038X","url":null,"abstract":"We build a supersymmetric version with $SU(3)_{C}otimes SU(2)_{L}otimes U(1)_{Y^{prime}}otimes U(1)_{(B-L)}$ gauge symmetry, where $Y^{prime}$ is a new charge and ($B$) and ($L$) are the usual baryonic and leptonic numbers, respectivelly. The model has three right-handed neutrinos with non identical $(B-L)$ charges. We will use the superfield formalism in order to build our lagrangian and it is possible to accommodate all fermion masses at the tree level. In particular, the type-I seesaw mechanism is implemented for the generation of the active neutrino masses and also explain the mixing angle at the fermion sector. There are good candidates to Dark Matter, it can be the lighest righ-handed neutrinos or lighest right-handed sneutrinos or the lighest usual scalar field and due a Majorana phase at sneutrinos right-handed masses, it can induce Leptogenesis in this model.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87094881","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}
Pub Date : 2020-12-04DOI: 10.1103/PHYSREVD.103.033005
Chunhui Chen
This Letter presents a study of the reconstruction and identification of $Hto WW^*$ with high transverse momentum, where both $W^{(*)}$ bosons decay hadronically. We show that the boosted $Hto WW^*$ can be effectively reconstructed as a single jet and identified using jet substructures in the center-of-mass frame of the jet. Such a reconstruction and identification approach can discriminate the boosted $Hto WW^*$ in the full hadronic final state from QCD jets. This result will significantly improve experimental sensitivities of searches for potential new physics phenomena beyond the standard model in final states containing highly boosted Higgs bosons.
{"title":"Reconstruction and identification of \u0000H→WW*\u0000 with high transverse momentum in the full hadronic final state","authors":"Chunhui Chen","doi":"10.1103/PHYSREVD.103.033005","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.033005","url":null,"abstract":"This Letter presents a study of the reconstruction and identification of $Hto WW^*$ with high transverse momentum, where both $W^{(*)}$ bosons decay hadronically. We show that the boosted $Hto WW^*$ can be effectively reconstructed as a single jet and identified using jet substructures in the center-of-mass frame of the jet. Such a reconstruction and identification approach can discriminate the boosted $Hto WW^*$ in the full hadronic final state from QCD jets. This result will significantly improve experimental sensitivities of searches for potential new physics phenomena beyond the standard model in final states containing highly boosted Higgs bosons.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83137989","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}
Pub Date : 2020-12-03DOI: 10.1103/PHYSREVD.103.053005
R. Frezzotti, M. Garofalo, V. Lubicz, G. Martinelli, C. Sachrajda, F. Sanfilippo, S. Simula, N. Tantalo
We present a comparison of existing experimental data for the radiative leptonic decays $Ptoellnu_ellgamma$, where $P=K$ or $pi$ and $ell=e$ or $mu$, from the KLOE, PIBETA, E787, ISTRA+ and OKA collaborations with theoretical predictions based on the recent non-perturbative determinations of the structure-dependent vector and axial-vector form factors, $F_V$ and $F_A$ respectively. These were obtained using lattice QCD+QED simulations at order $O(alpha_{mathrm{em}})$ in the electromagnetic coupling. We find good agreement with the KLOE data on $Kto enu_egamma$ decays from which the form factor $F^+=F_V+F_A$ can be determined. For $Ktomunu_mugamma$ decays we observe differences of up to 3 - 4 standard deviations at large photon energies between the theoretical predictions and the data from the E787, ISTRA+ and OKA experiments and similar discrepancies in some kinematical regions with the PIBETA experiment on radiative pion decays. A global study of all the kaon-decay data within the Standard Model results in a poor fit, largely because at large photon energies the KLOE and E787 data cannot be reproduced simultaneously in terms of the same form factor $F^+$. The discrepancy between the theoretical and experimental values of the form factor $F^-=F_V-F_A$ is even more pronounced. These observations motivate future improvements of both the theoretical and experimental determinations of the structure-dependent form factors $F^+$ and $F^-$, as well as further theoretical investigations of models of "new physics" which might for example, include possible flavor changing interactions beyond $V - A$ and/or non-universal corrections to the lepton couplings.
{"title":"Comparison of lattice \u0000QCD+QED\u0000 predictions for radiative leptonic decays of light mesons with experimental data","authors":"R. Frezzotti, M. Garofalo, V. Lubicz, G. Martinelli, C. Sachrajda, F. Sanfilippo, S. Simula, N. Tantalo","doi":"10.1103/PHYSREVD.103.053005","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.053005","url":null,"abstract":"We present a comparison of existing experimental data for the radiative leptonic decays $Ptoellnu_ellgamma$, where $P=K$ or $pi$ and $ell=e$ or $mu$, from the KLOE, PIBETA, E787, ISTRA+ and OKA collaborations with theoretical predictions based on the recent non-perturbative determinations of the structure-dependent vector and axial-vector form factors, $F_V$ and $F_A$ respectively. These were obtained using lattice QCD+QED simulations at order $O(alpha_{mathrm{em}})$ in the electromagnetic coupling. We find good agreement with the KLOE data on $Kto enu_egamma$ decays from which the form factor $F^+=F_V+F_A$ can be determined. For $Ktomunu_mugamma$ decays we observe differences of up to 3 - 4 standard deviations at large photon energies between the theoretical predictions and the data from the E787, ISTRA+ and OKA experiments and similar discrepancies in some kinematical regions with the PIBETA experiment on radiative pion decays. A global study of all the kaon-decay data within the Standard Model results in a poor fit, largely because at large photon energies the KLOE and E787 data cannot be reproduced simultaneously in terms of the same form factor $F^+$. The discrepancy between the theoretical and experimental values of the form factor $F^-=F_V-F_A$ is even more pronounced. These observations motivate future improvements of both the theoretical and experimental determinations of the structure-dependent form factors $F^+$ and $F^-$, as well as further theoretical investigations of models of \"new physics\" which might for example, include possible flavor changing interactions beyond $V - A$ and/or non-universal corrections to the lepton couplings.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88826981","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}
Pub Date : 2020-12-03DOI: 10.1103/PhysRevC.103.054004
S. Nguyen, M. Schindler, R. Springer, Jared Vanasse
We extend from operators with one derivative to operators with three derivatives the analysis of two-body hadronic parity violation in a combined pionless effective field theory (EFT$_{pi!/}$) and large-$N_c$ expansion, where $N_c$ is the number of colors in quantum chromodynamics (QCD). In elastic scattering, these operators contribute to $S$-$P$ and $P$-$D$ wave transitions, with five operators and their accompanying low energy coefficients (LECs) characterizing the $S$-$P$ transitions and six operators and LECs those in $P$-$D$ transitions. We show that the large-$N_c$ analysis separates them into leading order in $N_c$, next-to-leading order in $N_c$, etc. Relationships among EFT$_{pi!/}$ LECs emerge in the large-$N_c$ expansion. We also discuss the renormalization scale dependence of these LECs. Our analysis can complement lattice QCD calculations and help prioritize future parity-violating experiments.
{"title":"Large-\u0000Nc\u0000 and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory","authors":"S. Nguyen, M. Schindler, R. Springer, Jared Vanasse","doi":"10.1103/PhysRevC.103.054004","DOIUrl":"https://doi.org/10.1103/PhysRevC.103.054004","url":null,"abstract":"We extend from operators with one derivative to operators with three derivatives the analysis of two-body hadronic parity violation in a combined pionless effective field theory (EFT$_{pi!/}$) and large-$N_c$ expansion, where $N_c$ is the number of colors in quantum chromodynamics (QCD). In elastic scattering, these operators contribute to $S$-$P$ and $P$-$D$ wave transitions, with five operators and their accompanying low energy coefficients (LECs) characterizing the $S$-$P$ transitions and six operators and LECs those in $P$-$D$ transitions. We show that the large-$N_c$ analysis separates them into leading order in $N_c$, next-to-leading order in $N_c$, etc. Relationships among EFT$_{pi!/}$ LECs emerge in the large-$N_c$ expansion. We also discuss the renormalization scale dependence of these LECs. Our analysis can complement lattice QCD calculations and help prioritize future parity-violating experiments.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76250431","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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