Abstract
Theoretical predictions for Bhabha scattering observables are presented including complete one-loop electroweak radiative corrections. A longitudinal polarization of the initial beams is taken into account. Numerical results for the asymmetry $A_{LR}$ and the relative correction $\delta$ are given for the set of the energy $E_{cm}=250, 500, 1000$~GeV with various polarization degrees.
Highlights
The complete one-loop electroweak (EW) corrections to unpolarized Bhabha scattering [1] have been thoroughly studied for many years by the authors of [2] and later the authors of [3,4,5,6,7,8,9,10,11,12]
We present numerical results for EW radiative corrections (RC) to Bhabha scattering obtained by means of the SANC Monte Carlo event generator
The theoretical description of Bhabha scattering with taking into account the radiative corrections is crucial for the high-precision measurement of this process and for luminosity monitoring at the modern and future eþe− colliders
Summary
The complete one-loop electroweak (EW) corrections to unpolarized Bhabha scattering [1] have been thoroughly studied for many years by the authors of [2] and later the authors of [3,4,5,6,7,8,9,10,11,12]. The Bhabha cross section with the oneloop QED contribution including transverse and longitudinal polarizations of the incoming beams is presented in [13,14]. In our review [16] we have presented the SANC modules for the one-loop electroweak radiative corrections (RC) for Bhabha scattering: the helicity amplitudes (HA) and form factors (FF). In this article we present the complete one-loop calculation of the EW radiative corrections to Bhabha scattering with polarized beams. The unpolarized hard photon contribution is compared analytically with the result of the CALCHEP code [28]. IV we conclude with a discussion of the obtained results
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