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(Seminar) Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
2019-11-04  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory

Speaker

报告人

Hui Luo (罗慧)            

Affiliation

所在单位

Graduate School of China Academy of Engineering Physics

Date

日期

2:00pm, Nov 04, 2019, Monday

Venue

地点

ITP South Building 6620

Abstract

摘要

We present analytic forms of three-loop four-gluon planar amplitudes in pure Yang-Mills theory in our recent work. Gauge invariant bases and a set of proper master integrals are chosen such that the amplitudes are explicitly invariant under cyclic permutations of external particles. The D-dimensional unitarity method and integration-by-parts reductions with cut conditions are performed to determine the coefficients of the master integrals. Helicity amplitudes in the conventional dimension regularization scheme are obtained by setting gauge invariant bases to helicity configurations. After renormalizing the ultraviolet divergences, remaining divergences of the amplitudes agree with known infrared divergence structures exactly. Our results provide an essential piece of three-loop amplitudes required for the N^3LO order corrections to the production of dijet at hadron colliders.

Contact Person

所内联系人

Gang Yang
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