Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs
Abstract
Here, we evaluate the master integrals for the twoloop, planar boxdiagrams contributing to the elastic scattering of muons and electrons at nexttonextto leadingorder 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 spacetime dimensions, with coefficients written as combination of generalized polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossingrelated processes, such as dimuon production at e^{+}e^{–}colliders, as well as for the QCD corrections to toppair production at hadron colliders.
 Authors:

 Univ. di Padova, Padova (Italy); INFN  Sezione di Padova, Padova (Italy)
 INFN  Sezione di Padova, Padova (Italy)
 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:
 AC0206CH11357
 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 10298479
 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 twoloop, planar boxdiagrams contributing to the elastic scattering of muons and electrons at nexttonextto leadingorder 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 spacetime dimensions, with coefficients written as combination of generalized polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossingrelated processes, such as dimuon production at e+e–colliders, as well as for the QCD corrections to toppair 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}
}
Web of Science
Figures / Tables:
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Figures / Tables found in this record: