Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel

Badger, Simon; Chaubey, Ekta; Hartanto, Heribertus Bayu; Marzucca, Robin

Abstract

We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves. We present the results of the missing master integrals needed to compute the amplitude and obtain an analytic form for the finite remainders in terms of iterated integrals using rationalised kinematics and finite field sampling. We also study the numerical evaluation of the iterated integrals.

Citation

Badger, S., Chaubey, E., Hartanto, H. B., & Marzucca, R. (2021). Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel. Journal of High Energy Physics, 2021(6), https://doi.org/10.1007/jhep06%282021%29163

• Journal Article Type: Article
• Acceptance Date: Jun 11, 2021
• Online Publication Date: Jun 28, 2021
• Publication Date: 2021
• Deposit Date: Nov 8, 2021
• Publicly Available Date: Nov 8, 2021
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2021
• Issue: 6
• DOI: https://doi.org/10.1007/jhep06%282021%29163
• Public URL: https://durham-repository.worktribe.com/output/1225970