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Journal of High Energy Physics

, 2017:198 | Cite as

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

  • Pierpaolo Mastrolia
  • Massimo Passera
  • Amedeo Primo
  • Ulrich Schubert
Open Access
Regular Article - Theoretical Physics
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Abstract

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 generalised polylogarithms. 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.

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NLO Computations 
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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Pierpaolo Mastrolia
    • 1
    • 2
  • Massimo Passera
    • 2
  • Amedeo Primo
    • 1
    • 2
  • Ulrich Schubert
    • 3
  1. 1.Dipartimento di Fisica ed AstronomiaUniversità di PadovaPadovaItaly
  2. 2.INFN — Sezione di PadovaPadovaItaly
  3. 3.High Energy Physics DivisionArgonne National LaboratoryArgonneU.S.A.

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