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Exploring HVV amplitudes with CP violation using decomposition and the on-shell scattering amplitude method

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Chinese Physics C 2023年第3期47卷 67-83页

作者：冯柯尧万霞王由凯邬超 School of Physics and Information Technology Shaanxi Normal UniversityXi'an 710119China CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academey of SciencesBeijing 100190China

CP violation may play an important role in baryogenesis in the early universe and should be examined comprehensively at *** study the CP properties of HVV vertexes between Higgs and gauge boson pairs by defining a CP violation phase angle,which indicates the mixture of CP-even and CP-odd Higgs states in HVV in new physics.A series of HVV amplitudes,H→γγ,H-→V→γtt,and H→VV-→4f,with a CP phase angle are studied systematically to explicitly explain why CP violation can only be probed independently in the 4t *** obtain a novel amplitude decomposition relation that illustrates that if two preconditions(multilinear mo-mentum dependent vertexes,and the current J_(μ) of V→l^(+)l^(-)is formally proportional to a photon's polarization vec-tor)are satisfied,a higher-point amplitude can be decomposed into a summation of a series of lower-point *** a practical example,the amplitude of the H→γV-→γtt and H→VV→4t processes can be decom-posed into a summation of many H→γγ *** calculate these amplitudes in the framework of the on-shell scattering amplitude method,considering both massless and massive vector gauge bosons with the CP viola-tion phase *** above two approaches provide consistent results and clearly reveal the CP violation ξ depend-ence in the amplitudes.

关键词： Higgs scattering amplitude CP violation

Relativistic Bound and scattering amplitude of Spinless Particles in Modified Schioberg Plus Manning–Rosen Potentials

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Communications in Theoretical Physics 2017年第1期67卷 71-75页

作者： B.H.Yazarloo H.Mehraban Physics Department Semnan UniversityP.O.Box 35195-363SemnanIran

By using an approximation for the centrifugal term, we study relativistic bound and scattering states of spin-zero particles in the presence of equal scalar and vector modified Schioberg plus Manning–Rosen potentials for any quantum numbers n and l. Energy eigenvalues and the scattering amplitude are calculated. Some special cases of the problem are also investigated.

关键词： modified Schioberg plus Manning–Rosen potentials Klein–Gordon equation bound state scattering state scattering amplitude

Standard model effective field theory from on-shell amplitudes

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Chinese Physics C 2023年第2期47卷 55-62页

作者：马腾舒菁肖明磊 CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China CAS Center for Excellence in Particle Physics Beijing 100049China Center for High Energy Physics Peking UniversityBeijing 100871China

We present a general method of constructing unfactorizable on-shell amplitudes(amplitude basis) and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory(EFT).We apply our method to the Standard Model EFT and identify the amplitude basis in dimensions 5 and 6,which correspond to the Weinberg operator and operators in the Warsaw basis,except for some linear combinations.

关键词： effective field theory scattering amplitude SMEFT SMEFT construction

Intersection theory rules symbology

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Science China(Physics,Mechanics & Astronomy) 2024年第2期67卷 93-104页

作者： Jiaqi Chen Bo Feng Lilin Yang Beijing Computational Science Research Center Beijing 100084China Zhejiang Institute of Modern Physics School of PhysicsZhejiang UniversityHangzhou 310027China Peng Huanwu Center for Fundamental Theory Hefei 230026China

We propose a novel method to determine the structure of symbols for any family of polylogarithmic Feynman *** the d log-bases and simple formulas for the leading order and next-to-leading contributions to the intersection numbers,we give a streamlined procedure to compute the entries in the coefficient matrices of canonical differential equations,including the symbol letters and the rational *** also provide a selection rule to decide whether a given matrix element must be *** symbol letters are deeply related to the poles of the integrands and also have interesting connections to the geometry of Newton *** method can be applied to many cutting-edge multi-loop *** simplicity of our results also hints at the possible underlying structure in perturbative quantum field theories.

关键词： scattering amplitude Feynman integral symbology

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Equivalence of coefficients extraction of one-loop master integrals

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Communications in Theoretical Physics 2020年第11期72卷 48-56页

作者： Yang An Zi-ang Hu Zhongjie Huang Yi Li Xiang Lv Zhejiang Institute of Modern Physics Department of PhysicsZhejiang UniversityNo.38 Zheda RoadHangzhouChina Department of Physics Zhejiang UniversityNo.38 Zheda RoadHangzhouChina

Now,there have been many different methods to calculate one-loop *** of them are the unitarity cut method and the generalized unitarity cut *** this short paper,we present an explicit connection between these two meth... 详细信息

关键词： scattering amplitude one loop correction

New approach for amplitudes with multiple fermion lines

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Chinese Physics C 2022年第8期46卷 63-71页

作者： Feng Zhang Bin Gong Jian-Xiong Wang Institute of High Energy Physics Chinese Academy of SciencesBeijing 100049China University of Chinese Academy of Sciences Chinese Academy of SciencesBeijing 100049China

A new approach for tree-level amplitudes with multiple fermion lines is *** primarily focuses on the simplification of fermion *** calculating two vectors recursively without any matrix multiplications,the result of a fermion line is reduced to a very compact form depending only on the two *** with other packages are presented,and the results show that our package FDC provides a very good performance in the processes of multiple fermion lines with this new approach and some other improvements.A further comparison with WHIZARD shows that this new approach has a competitive efficiency in computing pure amplitude squares without phase space integration.

关键词： multi-particle process scattering amplitude fermion line tree level

Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation

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Applied Mathematics 2014年第13期5卷 1903-1912页

作者： Asset Durmagambetov Leyla Fazilova Department Applied Mathematics and Informatics Buketov Karaganda State UniversityKaragandaKazakhstan

The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.

关键词： Schrodinger's Equation Potential scattering amplitude Cauchy Problem Navier-Stokes Equations Fourier Transform Global Solvability and Uniqueness of the Cauchy Problem Loss of Smoothness

Navier-Stokes Equations—Millennium Prize Problems

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Natural Science 2015年第2期7卷 88-99页

作者： Asset A.Durmagambetov Leyla S.Fazilova System Research“Factor”Company AstanaKazakhstan

In this work, we present final solving Millennium Prize Problems formulated by Clay Math. Inst., Cambridge. A new uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. We ... 详细信息

关键词： Schrodinger’s Equation Potential scattering amplitude Cauchy Problem Navier-Stokes Equations Fourier Transform The Global Solvability and Uniqueness of the Cauchy Problem The Loss of Smoothness The Millennium Prize Problems

Global Estimation of the Cauchy Problem Solutions’the Navier-Stokes Equation

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Journal of Applied Mathematics and Physics 2014年第4期2卷 17-25页

作者： A.A.Durmagambetov L.S.Fazilova Buketov Karaganda State University KaragandaKazakhstan

关键词： Schrodinger’s Equation Potential scattering amplitude Cauchy Problem Navier-Stokes Equations Fourier Transform