Yury Kolomensky

One-loop electroweak corrections for polarized Møller scattering at different renormalization schemes and conditions

Using two different approaches, we perform detailed calculations of the one-loop (Next-to-Leading Order (NLO)) electroweak radiative corrections to the parity violating e−e− → e−e−(γ) scattering asymmetry. First approach, more classical, relies on calculations “by hand” with reasonable approximations, second approach relies on program packages FeynArts, FormCalc, LoopTools, and FORM. The detailed numerical analysis of the various contributions is provided for a wide range of energies relevant for the ultraprecise 11 GeV MOLLER experiment planned at the JLab, as well as future experiments at the International Linear Collider (ILC). The numerical results obtained within the on-shell renormalization scheme using two different sets of renormalization conditions are in excellent agreement. We also calculate the total NLO correction in the Constrained Differential Renormalization (CDR) scheme. Analysis of the results, along with the increasing experimental precision, shows that it is feasible that the corrections at the Next-to-Next-to-Leading Order (NNLO) level may be important for the next generation of experiments.

Quadratic electroweak corrections for polarized Moller scattering

The paper discusses the two-loop (NNLO) electroweak radiative corrections to the parity violating electron-electron scattering asymmetry induced by squaring one-loop diagrams. The calculations are relevant for the ultra-precise 11 GeV MOLLER experiment planned at Jefferson Laboratory and experiments at high-energy future electron colliders. The imaginary parts of the amplitudes are taken into consideration consistently in both the infrared-finite and divergent terms. The size of the obtained partial correction is significant, which indicates a need for a complete study of the two-loop electroweak radiative corrections in order to meet the precision goals of future experiments.

Electroweak Radiative Corrections to Parity-Violating Asymmetry in Møller Scattering

We have computed the lowest-order electroweak radiative corrections (sans vacuum polarization contribution) to parity-violating observables in polarized Moller scattering. A covariant method of removing infrared divergences is applied, which allows to compute the corrections without introducing any unphysical parameters. When applied to the kinematics of SLAC E158 experiment, the considered radiative corrections reduce the parity-violating asymmetry by about 13%.

First Order QED Corrections to the Parity-Violating Asymmetry in Moller Scattering

We compute a full set of the first order QED corrections to the parity-violating observables in polarized Moeller scattering. We employ a covariant method of removing infrared divergences, computing corrections without introducing any unphysical parameters. When applied to the kinematics of the SLAC E158 experiment, the QED corrections reduce the parity violating asymmetry by 4.5%. We combine our results with the previous calculations of the first-order electroweak corrections and obtain the complete {Omicron}({alpha}) prescription for relating the experimental asymmetry A{sub LR} to the low-energy value of the weak mixing angle sin{sup 2} {theta}{sub W}. Our results are applicable to the recent measurement of A{sub LR} by the SLAC E158 collaboration, as well as to the future parity violation experiments.