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  • Letter
  • Open Access

Møller scattering at NNLO

Pulak Banerjee1, Tim Engel1,2, Nicolas Schalch3, Adrian Signer1,2, and Yannick Ulrich4

  • 1Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
  • 2Physik-Institut, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
  • 3Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
  • 4Institute for Particle Physics Phenomenology, University of Durham, South Road, Durham DH1 3LE, United Kingdom

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Phys. Rev. D 105, L031904 – Published 23 February, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L031904

Abstract

We present a calculation of the full set of next-to-next-to-leading-order QED corrections to unpolarized Møller scattering. This encompasses photonic, leptonic, and nonperturbative hadronic corrections and includes electron mass effects as well as hard photon radiation. The corresponding matrix elements are implemented in the Monte Carlo framework mcmule allowing for the computation of fully differential observables. As a first application we show results tailored to the kinematics and detector design of the PRad II experiment where a high-precision theory prediction for Møller scattering is required to achieve the targeted precision. We observe that the corrections become essential to reliably calculate the corresponding differential distributions especially in regions where the leading-order contribution is absent.

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Phys. Rev. D 105, L031904– Published 23 February, 2022
  • Received 2 August 2021
  • Accepted 12 January 2022
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