NNLO Electroweak Corrections for Polarized Mller Scattering:
One-Loop Insertions to Boxes¹

A. G. Aleksejevs^a, S. G. Barkanova^b, Yu. M. Bystritskiy^c, E. A. Kuraev ^{c, †}, and V. A. Zykunov^d

^aMemorial University of Newfoundland, Corner Brook, Canada

^bAcadia University, Wolfville, Canada

^cJoint Institute for Nuclear Research, Dubna, Moscow oblast, Russia

^dBelarusian State University of Transport, Gomel, Belarus

e-mail: bystr@theor.jinr.ru

Abstract—The paper discusses the two-loop (NNLO) electroweak radiative corrections to the parity-violating
Møller scattering asymmetry induced by insertions to boxes of electron and neutrino mass operators (fermion
self-energies), vertex functions and boson self-energies. The results will be relevant to the ultra-precise 11 GeV
MOLLER experiment planned at the Jefferson Laboratory, which will measure the weak charge of the electron
and search for new physics. The numerical estimations for the NNLO contribution to the cross section asym-
metry are presented.

DOI: 10.1134/S1547477115050039

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