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  • Letter
  • Open Access

Efficient computation of two-loop amplitudes for Higgs boson pair production

Guoxing Wang1,*, Yuxuan Wang2, Xiaofeng Xu3,†, Yongqi Xu2,‡, and Li Lin Yang1,§

  • 1Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 2School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 3Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

  • *wangguoxing2015@pku.edu.cn
  • †pkuxxf@gmail.com
  • ‡xuyongqi@pku.edu.cn
  • §yanglilin@zju.edu.cn
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Phys. Rev. D 104, L051901 – Published 24 September, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L051901

Abstract

We present a precise and efficient computation of the two-loop amplitudes entering the Higgs boson pair production process via gluon fusion. Our approach is based on the small-Higgs-mass expansion while keeping the full dependence on the top quark mass and other kinematic invariants. We compare our results to the up-to-date predictions based on a combination of sector decomposition and high-energy expansion. We find that our method provides precision numeric predictions in the entire phase space, while at the same time is highly efficient as the computation can be easily performed on a normal desktop or laptop computer. Our method is valuable for practical phenomenological studies of the Higgs boson pair production process, and can also be applied to other similar processes.

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Phys. Rev. D 104, L051901– Published 24 September, 2021
  • Received 8 February 2021
  • Accepted 10 September 2021
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