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Color-kinematics duality and dual conformal symmetry for a four-loop form factor in N=4 SYM

Science China(Physics,Mechanics & Astronomy) 2024年第4期67卷 64-71页

作者： Guanda Lin Gang Yang Siyuan Zhang 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 School of Fundamental Physics and Mathematical Sciences Hangzhou Institute for Advanced StudyUCASHangzhou 310024China International Centre for Theoretical Physics Asia-Pacific Beijing/Hangzhou 310024China

We obtain the integrand of full-color four-loop three-point form factor of the stress-tensor supermultiplet in N=4 SYM,based on the color-kinematics(CK)duality and generalized unitarity *** result not only manifests all dual Jacobi relations via CK duality but also contains 133 free *** suggests the constructibility of the form factor at even higher loops via CK *** also find that the planar form factor has a hidden dual conformal symmetry in the lightlike limit of the operator momentum,which is checked up to four loops.

关键词： S-matrix supersymmetric model perturbative calculations

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Cachazo-Svrcek-Witten rules for tree-level gluonic amplitudes revisited

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Science China(Physics,Mechanics & Astronomy) 2022年第4期65卷 20-31页

作者： Wen-Jie Zhang Jun-Bao Wu Chuan-Jie Zhu Center for Joint Quantum Studies and Department of Physics School of ScienceTianjin UniversityTianjin 300350China Peng Huanwu Center for Fundamental Theory Hefei 230026China College of Mathematics and Physics Science Hunan University of Arts and ScienceChangde 415000China

We provide a new proof of Cachazo-Svrcek-Witten rules for tree-level gluonic *** a key step,we explicitly demonstrate the cancellation of spurious poles originating from the maximally helicity violating vertices in these *** achieve this,we introduce specially-defined two-off-shell-line sub-amplitudes and examine their residues at spurious poles.

关键词： general properties of perturbation theory perturbative calculations dualities in gauge field theories

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Studying the localized CP violation and the branching fraction of the B^0→K^-π^+π^+π^-decay

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Chinese Physics C 2020年第10期44卷 51-58页

作者： Jing-Juan Qi Zhen-Yang Wang Jing Xu Xin-Heng Guo Junior College Zhejiang Wanli UniversityZhejiang 315101China Physics Department Ningbo UniversityZhejiang 315211China Department of Physics Yantai UniversityYantai 264005China College of Nuclear Science and Technology Beijing Normal UniversityBeijing 100875China

In this work,we study the localized CP violation and the branching fraction of the four-body decay^ˉB 0→K^−π^+π^−π^+by employing a quasi-two-body QCD factorization *** the interference of^ˉB 0→ˉK^∗0(700)ρ0(770)→K^−π^+π^−π^+and^ˉB 0→ˉK∗(892)f0(500)→K^−π^+π^−π^+channels,we predict ACP(^ˉB 0→K^−π^+π^−π^+)∈[0.15,0.28]and B(^ˉB 0→K^−π^+π^−π^+)∈[1.73,5.10]×10^−7,respectively,which shows that the interference mechanism of these two channels can induce the localized CP violation to this four-body ***,within the two quark model framework for the scalar mesons f0(500)andˉK^∗0(700),we calculate the direct CP violations and branching fractions of the^ˉB 0→ˉK^∗0(700)ρ0(770)and^ˉB 0→ˉK∗(892)f0(500)decays,*** corresponding results are ACP(^ˉB 0→ˉK^∗0(700)ρ0(770))∈[0.20,0.36],ACP(^ˉB 0→ˉK∗(892)f0(500))∈[0.08,0.12],B(^ˉB 0→ˉK^∗0(700)ρ0(770)∈[6.76,18.93]×10^−8 and B(^ˉB 0→ˉK∗(892)f0(500))∈[2.66,4.80]×10^−6,indicating that the CP violations of these two-body decays are both positive and the branching fractions quite *** studies provide a new way to investigate the aforementioned four-body decay and can be helpful in clarifying the configuration of the structure of the light scalar meson.

关键词： decays of bottom mesons CP violation perturbative calculations

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Next-to-leading order QCD corrections to the decay of Higgs to vector meson and Z boson

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Chinese Physics C 2018年第3期42卷 51-55页

作者：孙庆峰王安民 Department of Modern Physics University of Science and Technology of China

The exclusive decay of the Higgs boson to a vector meson （J/φ or γ（1S）） and Z boson is studied in this work. The decay amplitudes are separated into two parts in a gauge invariant manner. The first part comes from the direct coupling of the Higgs boson to the charm （bottom） quark and the other from the HZZ＊ or the loop-induced HZγ＊ vertexes in the standard model. While the branching ratios from the direct channel are much smaller than those of the indirect channel, their interference terms give nontrivial contributions. We further calculate the QCD radiative corrections to both channels, which reduce the total branching ratios by around 20% for both J/φ and γ（1S） production. Our results provide a possible chance to check the SM predictions of the Hcc（Hbb） coupling and to seek for hints of new physics at the High Luminosity LHC or future hadron colliders.

关键词： standard-model Higgs bosons perturbative calculations

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Can Really Regularized Amplitudes Be Obtained as Consistent with Their Expected Symmetry Properties?

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Journal of Modern Physics 2018年第6期9卷 1153-1178页

作者： Orimar Antonio Battistel Gilson Dallabona Marcus Vinicios Fonseca Luciana Ebani Departamento de Física Universidade Federal de Santa MariaSanta MariaBrazil Departamento de Física Universidade Federal de LavrasLavrasBrazil Instituto Federal Farroupilha Sao Vicente do SulBrazil Centro Brasileiro de Pesquisas Física Rio de JaneiroBrazil

Through a very detailed investigation involving a set of simple perturbative amplitudes we show that the answer for the question put in the title of the present work is: undoubtedly NO! We are not restricting the sentence to the amplitudes which are considered as anomalous. The referred investigation is performed by using a procedure alternative to the traditional regularization methods. In the context of such a strategy the amplitudes are not modified in intermediary steps of the calculation, like traditional regularization procedures do, and only the validity of the linearity in the integration operation is assumed in the operations made in Feynman integrals typical of the perturbative calculations. The central point of the investigation is the question related to the consistent interpretation of the amplitudes. For these purposes, in all amplitudes having power counting indicating the possibility of divergences, the relations among Green functions, Ward identities and low energy limits are analyzed, in a model having different species of massive 1/2 spin fermions coupled to spin 0 and 1 (even and odd parity) boson fields, formulated in a space-time dimension D=1+1. We show that the maintenance of the linearity in operations involving Feynman integrals excludes the possibility of an anomalous term in the Ward identity relating the axial-vector and the pseudo-scalar-vector two point functions amplitudes. In addition, we show that it is not possible the maintenance of Ward identities and low energy limits in a consistent way if the amplitudes of the perturbative calculations are quantities to be regularized, just because there is no regularization method which is capable to give acceptable results for the divergent objects present in the calculations. This conclusion includes the Dimensional Regularization method which cannot give unique results if the linearity and the symmetric integration are simultaneously required in Feynman integrals. The qualitative conclusio

关键词： perturbative calculations Anomalies Ward Identities Consistency

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