Eur. Phys. J. C (2012) 72: 2249
https://doi.org/10.1140/epjc/s10052-012-2249-x

Regular Article - Theoretical Physics

Double-box contributions to Møller scattering in the Standard Model

¹ Memorial University, Corner Brook, Canada
² Acadia University, Wolfville, Canada
³ Joint Institute for Nuclear Research, Dubna, Russia
⁴ National Center of Particle and High Energy Physics of Belarussian State University, Minsk, Belarus
⁵ Belarusian State University of Transport, Gomel, Belarus

^* e-mail: bystr@theor.jinr.ru

Received: 21 March 2012
Revised: 21 September 2012
Published online: 11 December 2012

Abstract

The paper investigates contributions of γ, Z, W and ghost intermediate states of box-type to the parity-violating Møller scattering asymmetry up to two-loop level. Using the Yennie–Frautschi–Suura factorization form for amplitudes, we demonstrate that QED corrections, with an exception of vacuum-polarization effects, cancel at the asymmetry level. We obtain chiral amplitudes at Born, one-loop and partially at two-loop level: ladder boxes and decorated boxes. Our calculations are relevant for the ultra-precise 11 GeV MØLLER experiment planned at Jefferson Laboratory. The numerical comparison of the two-loop contributions with the experimental accuracy of MØLLER is provided.