V. Zykunov

Electroweak radiative corrections for polarized Moller scattering at the future 11 GeV JLab experiment

We perform updated and detailed calculations of the complete NLO set of electroweak radiative corrections to parity violating e– e– → e– e– (γ) scattering asymmetries at energies relevant for the ultra-precise Moller experiment coming soon at JLab. Our numerical results are presented for a range of experimental cuts and relative importance of various contributions is analyzed. In addition, we also provide very compact expressions analytically free from non-physical parameters and show them to be valid for fast yet accurate estimations.

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.

Lowest order QED radiative corrections to longitudinally polarized Møller scattering

The total lowest-order electromagnetic radiative corrections to the observables in Moller scattering of longitudinally polarized electrons have been calculated. The final expressions obtained by the covariant method for the infrared divergency cancellation are free from any unphysical cut-off parameters. Since the calculation is carried out within the ultrarelativistic approximation our result has a compact form that is convenient for computing. Basing on these expressions the FORTRAN code MERA has been developed. Using this code the detailed numerical analysis performed under SLAC (E-158) and JLab kinematic conditions has shown that the radiative corrections are significant and rather sensitive to the value of the missing mass (inelasticity) cuts.

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.

Measurement of the \( \mathrm{t}\overline{\mathrm{t}} \) production cross section using events with one lepton and at least one jet in pp collisions at \( \sqrt{s}=13 \) TeV

A measurement of the t t-bar production cross section at sqrt(s) = 13 TeV is presented using proton-proton collisions, corresponding to an integrated luminosity of 2.2 inverse femtobarns, collected with the CMS detector at the LHC. Final states with one isolated charged lepton (electron or muon) and at least one jet are selected and categorized according to the accompanying jet multiplicity. From a likelihood fit to the invariant mass distribution of the isolated lepton and a jet identified as coming from the hadronization of a bottom quark, the cross section is measured to be sigma(t t-bar) = 888 +/- 2 (stat) +26 -28 (syst) +/- 20 (lumi) pb, in agreement with the standard model prediction. Using the expected dependence of the cross section on the pole mass of the top quark (m[t]), the value of m[t] is found to be 170.6 +/- 2.7 GeV.A bstractA measurement of the tt¯

NLO and NNLO EWC for PV Møller Scattering

\mathrm{t}\overline{\mathrm{t}}