In order to include the effect of high energy and topological parameters on black holes in F(R) gravity, we consider two corrections to this gravity: energy-dependent spacetime with different topological constants, and a nonlinear electrodynamics field. In other words, we combine F(R) gravity’s rainbow with ModMax nonlinear electrodynamics theory to see the effects of high energy and topological parameters on the physics of black holes. For this purpose, we first extract topological black hole solutions in F(R) -ModMax gravity’s rainbow. Then, by considering black holes as thermodynamic systems, we obtain thermodynamic quantities and check the first law of thermodynamics. The effect of the topological parameter on the Hawking temperature and the total mass of black holes is obvious. We also discuss the thermodynamic topology of topological black holes in F(R)-ModMax gravity’s rainbow using the off-shell free energy method. In this formalism, black holes are assumed to be equivalent to defects in their thermodynamic spaces. For our analysis, we consider two different types of thermodynamic ensembles. These are: fixed q ensemble and fixed φ ensemble. We take into account all the different types of curvature hypersurfaces that can be constructed in these black holes. The local and global topology of these black holes are studied by computing the topological charges at the defects in their thermodynamic spaces. Finally, in accordance with their topological charges, we classify the black holes into three topological classes with total winding numbers corresponding to −1, 0, and 1. We observe that the topological classes of these black holes are dependent on the value of the rainbow function, the sign of the scalar curvature, and the choice of ensembles.
{"title":"Thermodynamic topology of topological black hole in F(R)-ModMax gravity’s rainbow","authors":"B Eslam Panah, B Hazarika, P Phukon","doi":"10.1093/ptep/ptae116","DOIUrl":"https://doi.org/10.1093/ptep/ptae116","url":null,"abstract":"In order to include the effect of high energy and topological parameters on black holes in F(R) gravity, we consider two corrections to this gravity: energy-dependent spacetime with different topological constants, and a nonlinear electrodynamics field. In other words, we combine F(R) gravity’s rainbow with ModMax nonlinear electrodynamics theory to see the effects of high energy and topological parameters on the physics of black holes. For this purpose, we first extract topological black hole solutions in F(R) -ModMax gravity’s rainbow. Then, by considering black holes as thermodynamic systems, we obtain thermodynamic quantities and check the first law of thermodynamics. The effect of the topological parameter on the Hawking temperature and the total mass of black holes is obvious. We also discuss the thermodynamic topology of topological black holes in F(R)-ModMax gravity’s rainbow using the off-shell free energy method. In this formalism, black holes are assumed to be equivalent to defects in their thermodynamic spaces. For our analysis, we consider two different types of thermodynamic ensembles. These are: fixed q ensemble and fixed φ ensemble. We take into account all the different types of curvature hypersurfaces that can be constructed in these black holes. The local and global topology of these black holes are studied by computing the topological charges at the defects in their thermodynamic spaces. Finally, in accordance with their topological charges, we classify the black holes into three topological classes with total winding numbers corresponding to −1, 0, and 1. We observe that the topological classes of these black holes are dependent on the value of the rainbow function, the sign of the scalar curvature, and the choice of ensembles.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"215 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141881486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the electron transport through a double-channel Fano-Anderson structure, by considering the side-coupling of Majorana bound states (MBSs). It is found that the bound state in continuum (BIC) phenomenon can be induced when inter-channel dot-lead couplings are identical to the intra-channel dot-lead couplings, whose signature is manifested as the halved quantum transmission ability. If the balance between the dot-lead couplings is broken, the BIC phenomenon will also be destroyed, leading to further suppression of the transmission ability. Next, when MBSs are introduced to this system, the BIC phenomenon can be modified efficiently. For the case of two MBSs side-coupled to the quantum dots in a symmetric way, level degeneracy causes new a BIC phenomenon. As only one MBS is incorporated, it suppresses the electron transmission by inducing new transmission dips. When the interdot Coulomb interaction is considered, the BIC phenomena are still robust despite the complicate changes of the transmission ability spectra. One can then understand the realization of BIC in coupled quantum dots and their variation due to the presence of side-coupled MBSs.
{"title":"Majorana-free bound state in continuum in the double-channel Fano-Anderson structure","authors":"Tong Gong, Yu-Lian Zhu, Wei-Jiang Gong","doi":"10.1093/ptep/ptae114","DOIUrl":"https://doi.org/10.1093/ptep/ptae114","url":null,"abstract":"We investigate the electron transport through a double-channel Fano-Anderson structure, by considering the side-coupling of Majorana bound states (MBSs). It is found that the bound state in continuum (BIC) phenomenon can be induced when inter-channel dot-lead couplings are identical to the intra-channel dot-lead couplings, whose signature is manifested as the halved quantum transmission ability. If the balance between the dot-lead couplings is broken, the BIC phenomenon will also be destroyed, leading to further suppression of the transmission ability. Next, when MBSs are introduced to this system, the BIC phenomenon can be modified efficiently. For the case of two MBSs side-coupled to the quantum dots in a symmetric way, level degeneracy causes new a BIC phenomenon. As only one MBS is incorporated, it suppresses the electron transmission by inducing new transmission dips. When the interdot Coulomb interaction is considered, the BIC phenomena are still robust despite the complicate changes of the transmission ability spectra. One can then understand the realization of BIC in coupled quantum dots and their variation due to the presence of side-coupled MBSs.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"26 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We consider the addition of a single SU(2) multiplet of complex scalar fields to the Standard Model (SM). We explicitly consider the various possible values of the weak isospin J of that multiplet, up to and including J = 7/2. We allow the multiplet to have arbitrary weak hypercharge. The scalar fields of the multiplet are assumed to have no vacuum expectation value; the mass differences among the components of the multiplet originate in its coupling, present in the scalar potential (SP), to the Higgs doublet of the SM. We derive exact bounded-from-below and unitarity conditions on the SP, thereby constraining those mass differences. We compare those constraints to the ones that may be derived from the oblique parameters.
我们考虑在标准模型（SM）中加入一个单一的 SU(2) 复数复合标量场。我们明确考虑了多重子的弱等空素 J 的各种可能值，最多包括 J = 7/2。我们允许多重子具有任意的弱超电荷。多重子的标量场被假定为没有真空期望值；多重子各分量之间的质量差异源于其与 SM 的希格斯双重子的耦合（存在于标量势（SP）中）。我们推导出了关于标量势的精确有界自下条件和单位性条件，从而约束了这些质量差异。我们将这些约束与斜参数可能得出的约束进行比较。
{"title":"On the addition of a large scalar multiplet to the Standard Model","authors":"Darius Jurčiukonis, Luí s Lavoura","doi":"10.1093/ptep/ptae113","DOIUrl":"https://doi.org/10.1093/ptep/ptae113","url":null,"abstract":"We consider the addition of a single SU(2) multiplet of complex scalar fields to the Standard Model (SM). We explicitly consider the various possible values of the weak isospin J of that multiplet, up to and including J = 7/2. We allow the multiplet to have arbitrary weak hypercharge. The scalar fields of the multiplet are assumed to have no vacuum expectation value; the mass differences among the components of the multiplet originate in its coupling, present in the scalar potential (SP), to the Higgs doublet of the SM. We derive exact bounded-from-below and unitarity conditions on the SP, thereby constraining those mass differences. We compare those constraints to the ones that may be derived from the oblique parameters.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"15 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We examine the fundamental Kazakov-Migdal (FKM) model on a generic graph, whose partition function is represented by the Ihara zeta function weighted by unitary matrices. The FKM model becomes unstable in the critical strip of the Ihara zeta function. We discover a duality between small and large couplings, associated with the functional equation of the Ihara zeta function for regular graphs. Although the duality is not precise for irregular graphs, we show that the effective action in the large coupling region can be represented by a summation of all possible Wilson loops on the graph similar to that in the small coupling region. We estimate the phase structure of the FKM model both in the small and large coupling regions by comparing it with the Gross-Witten-Wadia (GWW) model. We further validate the theoretical analysis through detailed numerical simulations.
{"title":"Phases and duality in fundamental kazakov-migdal model on the graph","authors":"So Matsuura, Kazutoshi Ohta","doi":"10.1093/ptep/ptae109","DOIUrl":"https://doi.org/10.1093/ptep/ptae109","url":null,"abstract":"We examine the fundamental Kazakov-Migdal (FKM) model on a generic graph, whose partition function is represented by the Ihara zeta function weighted by unitary matrices. The FKM model becomes unstable in the critical strip of the Ihara zeta function. We discover a duality between small and large couplings, associated with the functional equation of the Ihara zeta function for regular graphs. Although the duality is not precise for irregular graphs, we show that the effective action in the large coupling region can be represented by a summation of all possible Wilson loops on the graph similar to that in the small coupling region. We estimate the phase structure of the FKM model both in the small and large coupling regions by comparing it with the Gross-Witten-Wadia (GWW) model. We further validate the theoretical analysis through detailed numerical simulations.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"25 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We consider a low energy effective theory of p-branes in a D-dimensional spacetime, and impose two conditions: 1) the theory is scale invariant, and 2) the electric-magnetic dual (D − p − 4)-branes exist and they obey the same type of interactions to the p-branes. (We also assume other natural conditions such as Lorentz invariance but not string theory, supersymmetry, supergravity and so on.) We then ask what p and D are consistent with these conditions. Using simple dimensional analysis, we find that only two solutions are possible: (p, D) = (2, 11) and (p, D) = (2n − 1, 4n + 2), (n = 1, 2, 3, ⋅⋅⋅). The first solution corresponds to M-theory, and the second solutions at n = 1 and n = 2 correspond to self-dual strings in little string theory and D3-branes in type IIB superstring theory, respectively, while the second solutions for n ≥ 3 are unknown but would be higher spin theories. Thus, quantum gravity (massless spin two theory) satisfying our two conditions would only be superstring theories, and they would be strong enough to characterize superstring theories in quantum gravity.
我们考虑了 D 维时空中 p 粒子的低能有效理论，并提出了两个条件：1) 理论是尺度不变的；2) 存在电磁双（D - p - 4）膜，并且它们与 p 膜服从相同类型的相互作用。(我们还假设了其他自然条件，如洛伦兹不变性，但不包括弦理论、超对称、超引力等）。然后，我们会问什么 p 和 D 符合这些条件。通过简单的维度分析，我们发现只有两种解是可能的：（p，D）=（2，11）和（p，D）=（2n - 1，4n + 2），（n = 1，2，3，⋅⋅⋅）。第一个解对应于 M 理论，n = 1 和 n = 2 时的第二个解分别对应于小弦理论中的自双弦和 IIB 型超弦理论中的 D3 带，而 n ≥ 3 时的第二个解未知，但可能是更高的自旋理论。因此，满足我们这两个条件的量子引力（无质自旋二理论）只能是超弦理论，而且它们足以表征量子引力中的超弦理论。
{"title":"Constraining Spacetime Dimensions in Quantum Gravity by Scale Invariance and Electric-Magnetic Duality","authors":"Takeshi Morita","doi":"10.1093/ptep/ptae112","DOIUrl":"https://doi.org/10.1093/ptep/ptae112","url":null,"abstract":"We consider a low energy effective theory of p-branes in a D-dimensional spacetime, and impose two conditions: 1) the theory is scale invariant, and 2) the electric-magnetic dual (D − p − 4)-branes exist and they obey the same type of interactions to the p-branes. (We also assume other natural conditions such as Lorentz invariance but not string theory, supersymmetry, supergravity and so on.) We then ask what p and D are consistent with these conditions. Using simple dimensional analysis, we find that only two solutions are possible: (p, D) = (2, 11) and (p, D) = (2n − 1, 4n + 2), (n = 1, 2, 3, ⋅⋅⋅). The first solution corresponds to M-theory, and the second solutions at n = 1 and n = 2 correspond to self-dual strings in little string theory and D3-branes in type IIB superstring theory, respectively, while the second solutions for n ≥ 3 are unknown but would be higher spin theories. Thus, quantum gravity (massless spin two theory) satisfying our two conditions would only be superstring theories, and they would be strong enough to characterize superstring theories in quantum gravity.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"43 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S Hoshino, Y Fujikawa, M Ohkawa, T Washimi, T Yokozawa
The microseismic motion, ambient ground vibration caused by ocean waves, affects ground-based gravitational wave detectors. In this study, characteristics of the ocean waves including seasonal variations and correlation coefficients were investigated for the significant wave heights at 13 coasts in Japan. The relationship between the ocean waves and the microseismic motion at the KAGRA site was also evaluated. As a result, it almost succeeded in explaining the microseismic motion at the KAGRA site by the principal components of the ocean wave data. One possible application of this study is microseismic forecasting, an example of which is also presented
{"title":"Evaluation of microseismic motion at the KAGRA site based on ocean wave data","authors":"S Hoshino, Y Fujikawa, M Ohkawa, T Washimi, T Yokozawa","doi":"10.1093/ptep/ptae108","DOIUrl":"https://doi.org/10.1093/ptep/ptae108","url":null,"abstract":"The microseismic motion, ambient ground vibration caused by ocean waves, affects ground-based gravitational wave detectors. In this study, characteristics of the ocean waves including seasonal variations and correlation coefficients were investigated for the significant wave heights at 13 coasts in Japan. The relationship between the ocean waves and the microseismic motion at the KAGRA site was also evaluated. As a result, it almost succeeded in explaining the microseismic motion at the KAGRA site by the principal components of the ocean wave data. One possible application of this study is microseismic forecasting, an example of which is also presented","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"27 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141717648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We considered the radiative transition of an electron due to its spin-flip in a constant background field of quasielectric type, which models the Lorentz-noninvariant vacuum. The power and probability of radiation and the degree of its linear polarization are calculated. It is shown that this radiative transition leads to the complete polarization of the initially unpolarized electron beam. The investigated effects increase with increasing electron energy.
{"title":"Photon emission by an electron in a constant background field modeling a Lorentz-noninvariant vacuum","authors":"Anatoly V Borisov","doi":"10.1093/ptep/ptae110","DOIUrl":"https://doi.org/10.1093/ptep/ptae110","url":null,"abstract":"We considered the radiative transition of an electron due to its spin-flip in a constant background field of quasielectric type, which models the Lorentz-noninvariant vacuum. The power and probability of radiation and the degree of its linear polarization are calculated. It is shown that this radiative transition leads to the complete polarization of the initially unpolarized electron beam. The investigated effects increase with increasing electron energy.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"1 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum A∞ algebras presented in arXiv:2305.11634 to general scalar-Dirac systems. We obtain the result that the same formula as in the previous paper holds in this case. We show that correlation functions from our formula satisfy the Schwinger-Dyson equations. We therefore confirm that correlation functions from our formula express correlation functions from the ordinary approach of quantum field theory.
{"title":"Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory","authors":"Keisuke Konosu","doi":"10.1093/ptep/ptae105","DOIUrl":"https://doi.org/10.1093/ptep/ptae105","url":null,"abstract":"We extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum A∞ algebras presented in arXiv:2305.11634 to general scalar-Dirac systems. We obtain the result that the same formula as in the previous paper holds in this case. We show that correlation functions from our formula satisfy the Schwinger-Dyson equations. We therefore confirm that correlation functions from our formula express correlation functions from the ordinary approach of quantum field theory.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"70 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We present one-loop formulas for the decay of CP-odd Higgs $A^0 rightarrow ell bar{ell } V$ with ℓ ≡ e, μ and V ≡ γ, Z in Higgs Extensions of the Standard Model, considering two higgs doublet model with an extra complex (and real) scalar, two higgs doublet model as well as triplet higgs model. Analytic results for one-loop amplitudes are expressed in terms of the basic Passarino-Veltman functions following the standard notations of LoopTools. As a result, physical results can be generated numerically by using the package. In phenomenological results, the total decay widths and the differential decay rates with respect to the invariant mass of lepton pair are analyzed for two typical models such as two higgs doublet model and triplet higgs model.
我们提出了 CP-odd 希格斯粒子 $A^0 rightarrow ell bar{ell } 的衰变一回路公式。V$ ，其中ℓ ≡ e, μ 和 V ≡ γ, Z 在标准模型的希格斯扩展模型中，考虑了带有额外复数（和实数）标量的两个希格斯双t模型、两个希格斯双t模型以及三重希格斯模型。一回路振幅的分析结果是按照 LoopTools 的标准符号用基本帕萨里诺-韦尔曼函数表示的。因此，使用该软件包可以数值生成物理结果。在现象学结果中，分析了两个典型模型（如两个希格斯双t模型和三重希格斯模型）的总衰变宽度和与轻子对不变质量有关的差分衰变率。
{"title":"One-loop contributions for A0 → ℓℓV with ℓ ≡ e, μ and V ≡ γ, Z in higgs extensions of the standard model","authors":"Khiem Hong Phan, Dzung Tri Tran, Thanh Huy Nguyen","doi":"10.1093/ptep/ptae103","DOIUrl":"https://doi.org/10.1093/ptep/ptae103","url":null,"abstract":"We present one-loop formulas for the decay of CP-odd Higgs $A^0 rightarrow ell bar{ell } V$ with ℓ ≡ e, μ and V ≡ γ, Z in Higgs Extensions of the Standard Model, considering two higgs doublet model with an extra complex (and real) scalar, two higgs doublet model as well as triplet higgs model. Analytic results for one-loop amplitudes are expressed in terms of the basic Passarino-Veltman functions following the standard notations of LoopTools. As a result, physical results can be generated numerically by using the package. In phenomenological results, the total decay widths and the differential decay rates with respect to the invariant mass of lepton pair are analyzed for two typical models such as two higgs doublet model and triplet higgs model.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"16 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Using unitarity, unlike the approaches available in the literature, we have constructed 9 independent representations of CKM matrix starting with each of the 9 elements of the matrix. The relationship of these independently constructed representations with the already available ones in the literature has been compared and discussed. Further, the implications of these representations have been explored for some of the CKM parameters such as δ, J and εk. Interestingly, we find that the PDG representation which is equivalent to our first representation seems to be most appropriate to incorporate the hierarchy of the elements of the CKM matrix as well as to describe the related phenomenology.
{"title":"Revisiting representations of quark mixing matrix","authors":"Gurjit Kaur, Aakriti Bagai, Gulsheen Ahuja, Manmohan Gupta","doi":"10.1093/ptep/ptae101","DOIUrl":"https://doi.org/10.1093/ptep/ptae101","url":null,"abstract":"Using unitarity, unlike the approaches available in the literature, we have constructed 9 independent representations of CKM matrix starting with each of the 9 elements of the matrix. The relationship of these independently constructed representations with the already available ones in the literature has been compared and discussed. Further, the implications of these representations have been explored for some of the CKM parameters such as δ, J and εk. Interestingly, we find that the PDG representation which is equivalent to our first representation seems to be most appropriate to incorporate the hierarchy of the elements of the CKM matrix as well as to describe the related phenomenology.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"64 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141500711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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