skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs

Abstract

Here, we evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus exponential series to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as combination of generalized poly-logarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production at e +e -colliders, as well as for the QCD corrections to top-pair production at hadron colliders.

Authors:
 [1];  [2];  [1];  [3]
  1. Univ. di Padova, Padova (Italy); INFN - Sezione di Padova, Padova (Italy)
  2. INFN - Sezione di Padova, Padova (Italy)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Science Foundation (NSF); Perimeter Institute for Theoretical Physics; USDOE
OSTI Identifier:
1494708
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations

Citation Formats

Mastrolia, Pierpaolo, Passera, Massimo, Primo, Amedeo, and Schubert, Ulrich. Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs. United States: N. p., 2017. Web. doi:10.1007/JHEP11(2017)198.
Mastrolia, Pierpaolo, Passera, Massimo, Primo, Amedeo, & Schubert, Ulrich. Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs. United States. doi:10.1007/JHEP11(2017)198.
Mastrolia, Pierpaolo, Passera, Massimo, Primo, Amedeo, and Schubert, Ulrich. Wed . "Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs". United States. doi:10.1007/JHEP11(2017)198. https://www.osti.gov/servlets/purl/1494708.
@article{osti_1494708,
title = {Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs},
author = {Mastrolia, Pierpaolo and Passera, Massimo and Primo, Amedeo and Schubert, Ulrich},
abstractNote = {Here, we evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus exponential series to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as combination of generalized poly-logarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production at e+e–-colliders, as well as for the QCD corrections to top-pair production at hadron colliders.},
doi = {10.1007/JHEP11(2017)198},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

Save / Share: