Abstract
A complete, gauge-invariant computation of two-loop virtual corrections involving closed fermion loops to the polarized Møller scattering asymmetry is presented. The set of contributions involving two closed fermion loops and the set involving one closed fermion loop are numerically similar in magnitude to the one-loop bosonic corrections and yield an overall correction of 1.3% relative to the tree level asymmetry. We estimate sizes of the remaining two-loop contributions and discuss implications for the upcoming MOLLER (Measurement of a Lepton-Lepton Electroweak Reaction) experiment.
Highlights
A complete, gauge-invariant computation of two-loop virtual corrections involving closed fermion loops to the polarized Møller scattering asymmetry is presented
Introduction.—Precision measurements of electroweak processes have played a vital role in the development and testing of the standard model (SM) of particle physics
While a variety of open questions clearly point to the existence of beyond the SM (BSM) physics, it remains to be determined at what mass scale this physics lives and how it interacts with the known elementary particles of the SM
Summary
A complete, gauge-invariant computation of two-loop virtual corrections involving closed fermion loops to the polarized Møller scattering asymmetry is presented. These corrections are dominated by contributions from closed fermion loops that enter the running of sin2 θW. Given this enhanced NLO sensitivity, it is important to determine the magnitude of next-to-nextto-leading-order (NNLO) SM corrections if one wishes to interpret correctly a 2.4% measurement of ALR in terms of BSM physics.
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