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 calcul...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.展开更多
基金Supported by the National Natural Science Foundation of China(12061141005)the CAS Center for Excellence in Particle Physics(CCEPP)。
文摘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.
