A non-planar two-loop three-point function beyond multiple polylogarithms

• DOI: 10.1007/jhep06(2017)127
• Publication Date: 2017-06-24T07:13:45Z
• Authors: Andreas von Mante...; Lorenzo Tancredi
• Keywords: Elliptic integral; Annihilation

We consider the analytic calculation of a two-loop non-planar three-point function which contributes to amplitudes for $t \bar{t}$ production and $\gamma \gamma$ in gluon fusion through massive top-quark loop. All subtopology integrals can be written terms multiple polylogarithms over an irrational alphabet we employ new method integration differential equations does not rely on rationalization latter. The top topology integrals, instead, spite absence three-particle cut, cannot evaluated require introduction complete elliptic polylogarithms. provide one-fold integral representations solutions continue them analytically all relevant regions phase space real function, extracting imaginary parts explicitly. numerical evaluation our expressions becomes straightforward this way.