Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay

Journal of High Energy Physics

Regular Article - Theoretical Physics

Claude Duhr¹  Melih A. Ozcelik²  Matteo Becchetti³  Samuel Abreu⁴ 

[1] Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany;Institute for Theoretical Particle Physics, KIT, D-76128, Karlsruhe, Germany;Physics Department, Torino University and INFN Torino, Via Pietro Giuria 1, I-10125, Torino, Italy;Theoretical Physics Department, CERN, 1211, Geneva, Switzerland;Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, EH9 3FD, Edinburgh, Scotland, UK;

关键词: Higher-Order Perturbative Calculations;    Scattering Amplitudes;    Quarkonium;   

DOI  :  10.1007/JHEP09(2022)194

 received in 2022-06-21, accepted in 2022-09-01,  发布年份 2022

来源: Springer

【 摘 要 】

We compute the master integrals relevant for the two-loop corrections to pseudo-scalar quarkonium and leptonium production and decay. We present both analytic and high-precision numerical results. The analytic expressions are given in terms of multiple polylogarithms (MPLs), elliptic multiple polylogarithms (eMPLs) and iterated integrals of Eisenstein series. As an application of our results, we obtain for the first time an analytic expression for the two-loop amplitude for para-positronium decay to two photons at two loops.

【 授权许可】

Unknown   
© The Author(s) 2022

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