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

doi:10.1007/JHEP11(2017)198

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

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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:

Mastrolia, Pierpaolo ^[1]; Passera, Massimo ^[2]; Primo, Amedeo ^[1]; Schubert, Ulrich ^[3]

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:: 2017-11-29

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.

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                    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.

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                    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.

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@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}

}

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DOI: 10.1007/JHEP11(2017)198

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