Abstract

In this note, we propose a factorization formula for gauge-theory scattering amplitudes up to two loops in the high-energy boosted limit. Our formula extends existing results in the literature by incorporating the contributions from massive loops. We derive the new ingredients in our formula using the method of regions with analytic regulators for the rapidity divergences. We verify our results with various form factors and the scattering amplitudes for top-quark pair production. Our results can be used to obtain approximate expressions for complicated two-loop massive amplitudes from simpler massless ones, and can be used to resum the mass logarithms to all orders in the coupling constant.

Details

Title
On the high-energy behavior of massive QCD amplitudes
Author
Wang, Guoxing 1   VIAFID ORCID Logo  ; Xia, Tianya 2 ; Yang, Li Lin 2 ; Ye, Xiaoping 3 

1  School of Physics, Zhejiang University, Zhejiang Institute of Modern Physics, Hangzhou, China (GRID:grid.13402.34) (ISNI:0000 0004 1759 700X); Sorbonne Université et CNRS, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Paris Cedex 05, France (GRID:grid.463942.e) (ISNI:0000 0004 0369 8598) 
2  School of Physics, Zhejiang University, Zhejiang Institute of Modern Physics, Hangzhou, China (GRID:grid.13402.34) (ISNI:0000 0004 1759 700X) 
3  Peking University, School of Physics, Beijing, China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319) 
Pages
82
Publication year
2024
Publication date
May 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP05(2024)082
ProQuest document ID
3052263122
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.