Abstract
This paper presents the high-precision theoretical predictions for $e^+e^- \to l^-l^+$ scattering. Calculations are performed using the {\tt SANC} system. They take into account complete one-loop electroweak radiative corrections as well as longitudinal polarization of initial beams. Reaction observables are obtained using the helicity amplitude method with taking into account initial and final state fermion masses. Numerical results are given for the center-of-mass energy range $\sqrt{s}=250-1000$ GeV with various degrees of polarization.
Highlights
Planned experiments in high energy physics for electronpositron annihilation have been proposed with the capability of precise measurements at the International Linear Collider (ILC) [1,2,3,4,5,6,7], the eþe− Future Circular Collider (FCC-ee) [8,9,10,11,12], the Compact Linear Collider (CLIC) [13,14,15], and the Circular Electron Positron Collider (CEPC) [16]
The helicity amplitudes were used for the Born-like parts and for the hard photon bremsstrahlung contribution taking into account the initial and final masses of the radiated particles
The theoretical description of eþe− → lþl− scattering taking into account complete one-loop and high-order radiative corrections is crucial for luminosity monitoring at modern and future eþe− colliders
Summary
Planned experiments (with/without polarization of the initial beams) in high energy physics for electronpositron annihilation have been proposed with the capability of precise measurements at the International Linear Collider (ILC) [1,2,3,4,5,6,7], the eþe− Future Circular Collider (FCC-ee) [8,9,10,11,12], the Compact Linear Collider (CLIC) [13,14,15], and the Circular Electron Positron Collider (CEPC) [16]. The only exception are calculations of the KKMC event generator project [38,39,40], which provide differential and total cross sections for arbitrary polarizations of the initial eþe− beams and final-state fermions. Considering the eþe− → l−lþ process as one for the purpose of luminometry, one needs to take into account high-order effects, such as leading multiphoton QED logarithms, EW, and mixed QCD-EW multiloop corrections. These corrections will be implemented in the future. IV, we present conclusions and outlook for further work on LPP process within the SANC framework
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