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Title: Differential Higgs production at N 3LO beyond threshold

We present several key steps towards the computation of differential Higgs boson cross sections at N 3LO in perturbative QCD. Specifically, we work in the framework of Higgs-differential cross sections that allows to compute precise predictions for realistic LHC observables. We demonstrate how to perform an expansion of the analytic N 3LO coefficient functions around the production threshold of the Higgs boson. Our framework allows us to compute to arbitrarily high order in the threshold expansion and we explicitly obtain the first two expansion coefficients in analytic form. Furthermore, we assess the phenomenological viability of threshold expansions for differential distributions. We find that while a few terms in the threshold expansion are sufficient to approximate the exact rapidity distribution well, transverse momentum distributions require a signficantly higher number of terms in the expansion to be adequately described. We find that to improve state of the art predictions for the rapidity distribution beyond NNLO even more sub-leading terms in the threshold expansion than presented in this article are required. In addition, we report on an interesting obstacle for the computation of N 3LO corrections with LHAPDF parton distribution functions and our solution. We provide files containing the analytic expressions for themore » partonic cross sections as supplementary material attached to this paper.« less
Authors:
 [1] ;  [2] ;  [3]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
  3. ETH Zurich (Switzerland). Inst. for Theoretical Physics
Publication Date:
Report Number(s):
SLAC-PUB-17158
Journal ID: ISSN 1029-8479; PII: 7511; TRN: US1802129
Grant/Contract Number:
AC02-76SF00515; ETH-21 14-1; 165772; 160814
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland); ETH Zurich (Switzerland)
Sponsoring Org:
USDOE; Swiss Federal Inst. of Technology (ETH) (Switzerland); Swiss National Science Foundation (SNSF); European Commission (EC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Higgs physics; perturbative QCD
OSTI Identifier:
1425583