Next-to-next-to-leading order QCD■EW corrections to Z-boson pair production at electron-positron colliders  

作　　者：Zhe Li Ren-You Zhang Shu-Xiang Li Xiao-Feng Wang Pan-Feng Li Yi Jiang Liang Han Qing-hai Wang 黎哲;张仁友;李书香;王晓峰;李攀峰;蒋一;韩良;王清海(State Key Laboratory of Particle Detection and Electronics,University of Science and Technology of China,Hefei 230026,China;Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China;Anhui Center for Fundamental Sciences in Theoretical Physics,University of Science and Technology of China,Hefei 230026,China;Department of Physics,National University of Singapore,Singapore 117551,Singapore)

机构地区：[1]State Key Laboratory of Particle Detection and Electronics,University of Science and Technology of China,Hefei 230026,China [2]Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China [3]Anhui Center for Fundamental Sciences in Theoretical Physics,University of Science and Technology of China,Hefei 230026,China [4]Department of Physics,National University of Singapore,Singapore 117551,Singapore

出　　处：《Chinese Physics C》2025年第1期80-94,共15页中国物理C(英文版)

基　　金：Supported by the National Natural Science Foundation of China(12061141005);the CAS Center for Excellence in Particle Physics(CCEPP)。

摘　　要：We present a comprehensive analytic calculation of the next-to-next-to-leading order QCD■EW corrections to Z-boson pair production at electron-positron colliders.The two-loop master integrals essential to this calculation are evaluated using the differential equation method.In this paper,we detail the formulation and solution of the canonical differential equations for the two-loop three-point master integrals with two on-shell Z-boson external legs and a massive internal quark in the loops.These canonical master integrals are systematically expanded as a Taylor series in the dimensional regulator,ε=(4-d)/2,up to the order of ε^(4),with coefficients expressed in terms of Goncharov polylogarithms up to weight four.Upon applying our analytic expressions of these master integrals to the phenomenological analysis of Z-pair production,we observe that the O(aa_(s))corrections manifest at a level of approximately one percent when compared to the leading-order predictions,underscoring their significance for comparisons with future high-precision experimental data.

关 键 词：Z-boson pair production NNLO QCD■EW corrections canonical differential equations Goncharovpolylogarithms 

分 类 号：O17[理学—数学]