The production of a Higgs boson in association with a top-antitop quark pair (ttˉH) holds significant importance in directly probing the top-quark Yukawa coupling, which is related to various fundamental questions in high energy physics. This paper focuses on the calculation of two-loop amplitudes for ttˉH production at hadron colliders in the high-energy boosted limit. The calculation employs our recently developed mass-factorization formula. To validate the accuracy of our approximate methods, we compare our results for the one-loop amplitudes and the two-loop infrared poles with the exact calculations. We then provide predictions for the finite parts of the two-loop amplitudes. By combining the contributions from real emissions, our results can be utilized to compute the next-to-next-to-leading order differential cross sections for ttˉH production in the high-energy boosted limit.
@article{arxiv.2402.00431,
title = {Two-loop QCD amplitudes for $t\bar{t}H$ production from boosted limit},
author = {Guoxing Wang and Tianya Xia and Li Lin Yang and Xiaoping Ye},
journal= {arXiv preprint arXiv:2402.00431},
year = {2024}
}