Hidden Analytic Relations for Two- Loop Higgs Amplitudes in QCD 靳庆军（中科院理论物理所） EFT Amplitude Workshop @USTC September 6-9,2019 Based on work in collaboration with Gang Yang 1804.04653,1904.07260
Hidden Analytic Relations for TwoLoop Higgs Amplitudes in QCD 靳庆军（中科院理论物理所） EFT & Amplitude Workshop @USTC September 6-9, 2019 Based on work in collaboration with Gang Yang 1804.04653, 1904.07260
Content ●Motivations ●Computations ●The hidden relation 。Summary and outlook 2
Content • Motivations • Computations • The hidden relation • Summary and outlook 2
Scattering Amplitudes in Standard Model(SM) Model→ Scattering AmplitudeExperiment Data Higgs production in LHC and CEPC LHC Perfect agreement with SM. Future CEPC:higher accuracy,less background noise.Requires even high loop computation of scattering amplitudes. 3
Scattering Amplitudes in Standard Model (SM) Higgs production in LHC and CEPC Model Scattering Amplitude Experiment Data LHC : Perfect agreement with SM. Future CEPC : higher accuracy, less background noise. Requires even high loop computation of scattering amplitudes. 3
New Methods in Scattering Amplitudes ● New methods developed during the computation of scattering amplitudes in supersymmetric field thoeries:spinor helicity formalism,on shell unitarity cut .. N=4 SYM integrand was computed 12 184 to 5 loops.[Bern et al 2012] N=8 supergravity is free of UV (335) 370 404 divergence to at least 5 loops.[Bern et al 2018] Apply these new methods to the computation of loop amplitude in Standard Model
New Methods in Scattering Amplitudes • New methods developed during the computation of scattering amplitudes in supersymmetric field thoeries: spinor helicity formalism, on shell unitarity cut … • N=4 SYM integrand was computed to 5 loops. [Bern et al 2012] • N=8 supergravity is free of UV divergence to at least 5 loops. [Bern et al 2018] • Apply these new methods to the computation of loop amplitude in Standard Model. 4
Higgs to 3 parton amplitude and the Maximal Transcendental Principle Study the properties of Higgs boson is one of the major tasks of LHC and future CEPC. In LHC,Higgs can be produced by the fusion of gluons and quarks.Higgs to 3 parton amplitudes are very important to understand the LHC data. The maximally transcendental principle:the maximal transcendental part of N=4 SYM and QCD amplitudes are the same. N=4 SYM 2 QCD An "easy"N=4 computation gives information for the“difficult'”QCD amplitude! 5
Higgs to 3 parton amplitude and the Maximal Transcendental Principle 5 The maximally transcendental principle: the maximal transcendental part of N=4 SYM and QCD amplitudes are the same. Study the properties of Higgs boson is one of the major tasks of LHC and future CEPC. In LHC, Higgs can be produced by the fusion of gluons and quarks. Higgs to 3 parton amplitudes are very important to understand the LHC data. An “easy” N=4 computation gives information for the “difficult” QCD amplitude!