Analytic results for two-loop planar master integrals for Bhabha scattering

Journal of High Energy Physics

Claude Duhr¹  Lorenzo Tancredi²  Vladimir A. Smirnov³ 

[1] Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany;Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Clarendon Laboratory, Parks Road, OX1 3PU, Oxford, U.K.;Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119992, Moscow, Russian Federation;Moscow Center for Fundamental and Applied Mathematics, 119992, Moscow, Russian Federation;

关键词: Scattering Amplitudes;    Precision QED;   

DOI  :  10.1007/JHEP09(2021)120

来源: Springer

【 摘 要 】

We analytically evaluate the master integrals for the second type of planar contributions to the massive two-loop Bhabha scattering in QED using differential equations with canonical bases. We obtain results in terms of multiple polylogarithms for all the master integrals but one, for which we derive a compact result in terms of elliptic multiple polylogarithms. As a byproduct, we also provide a compact analytic result in terms of elliptic multiple polylogarithms for an integral belonging to the first family of planar Bhabha integrals, whose computation in terms of polylogarithms was addressed previously in the literature.

【 授权许可】

CC BY