Color-kinematics duality for Sudakov form factor in non-supersymmetric pure Yang-Mills theory  

作　　者：Zeyu Li Gang Yang Jinxuan Zhang 

机构地区：[1]CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China [2]School of Physical Sciences,University of Chinese Academy of Sciences,No.19A Yuquan Road,Beijing 100049,China

出　　处：《Communications in Theoretical Physics》2022年第6期66-86,共21页理论物理通讯（英文版）

基　　金：supported in part by the National Natural Science Foundation of China(Grants No.12175291,11935013,11822508,12047503);by the Key Research Program of the Chinese Academy of Sciences,Grant NO.XDPB15。

摘　　要：We study the duality between color and kinematics for the Sudakov form factors of tr(F~2)in non-supersymmetric pure Yang-Mills theory.We construct the integrands that manifest the color-kinematics duality up to two loops.The resulting numerators are given in terms of Lorentz products of momenta and polarization vectors,which have the same powers of loop momenta as that from the Feynman rules.The integrands are checked by d-dimensional unitarity cuts and are valid in any dimension.We find that massless-bubble and tadpole topologies are needed at two loops to realize the color-kinematics duality.Interestingly,the two-loop solution contains a large number of free parameters suggesting the duality may hold at higher loop orders.

关 键 词：scattering amplitudes form factors color-kinematics duality unitarity method 

分 类 号：O153.3[理学—数学]