Two-loop QCD amplitudes for $t\bar{t}H$ production from boosted limit

Guoxing Wang; Tianya Xia; Li Lin Yang; Xiaoping Ye

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arXiv · 2402.00431

Two-loop QCD amplitudes for $t\bar{t}H$ production from boosted limit

Guoxing Wang·Tianya Xia·Li Lin Yang·Xiaoping Ye

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Abstract

The production of a Higgs boson in association with a top-antitop quark pair ($t\bar{t}H$) 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 $t\bar t H$ 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 $t\bar t H$ production in the high-energy boosted limit.

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Guoxing Wang, Tianya Xia, Li Lin Yang, Xiaoping Ye. 2024-02-01. Two-loop QCD amplitudes for $t\bar{t}H$ production from boosted limit. https://arxiv.org/abs/2402.00431

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