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Title: Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N$^3$LO

We present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N3LO Higgs production cross section beyond the soft-virtual approximation. We use reverse unitarity to expand the phase-space integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triple-real radiation relevant to N3LO Higgs production. The second uses a particular factorization of the three body phase-space measure and the knowledge of the scaling properties of the integral itself. Our result is presented as a Laurent expansion in the dimensional regulator, although some of the master integrals are computed to all orders in this parameter.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [4] ;  [1]
  1. ETH Zurich (Switzerland). Inst. for Theoretical Physics
  2. CERN Theory Div., Geneva (Switzerland); Univ. Catholique de Louvain, Louvain-la-Neuve (Belgium). Center for Cosmology
  3. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  4. NIKHEF, Amsterdam (Netherlands)
Publication Date:
OSTI Identifier:
1212724
Report Number(s):
FERMILAB-PUB--15-089-T; NIKHEF-2015-016; CERN-PH-TH--2015-092
Journal ID: ISSN 1029-8479; arXiv eprint number arXiv:1505.04110
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS