NNLO leptonic and hadronic corrections to Bhabha scattering and luminosity monitoring at meson factories

Abstract

Virtual fermionic N_f = 1 and N_f = 2 contributions to Bhabha scattering are combined with realistic real corrections at next-to-next-to-leading order in QED. The virtual corrections are determined by the package bha_nnlo_hf, and real corrections with the Monte Carlo generators Bhagen-1Ph, Helac-Phegas and Ekhara. Numerical results are discussed at the energies of and with realistic cuts used at the Phi factory DAFNE, at the B factories PEP-II and KEK, and at the charm/tau factory BEPC II. We compare these complete calculations with the approximate ones realized in the generator BabaYaga@NLO used at meson factories to evaluate their luminosities. For realistic reference event selections we find agreement for the NNLO leptonic and hadronic corrections within 0.07% or better and conclude that they are well accounted for in the generator by comparison with the present experimental accuracy.

38 pages, 12 figures, 13 tables

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• Bhabha scattering at NNLO with next-to-soft stabilisation
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• NNLO virtual and real leptonic corrections to muon-electron scattering
• On the next-to-leading order QCD K-factor for top anti-top bottom anti-bottom production at the TeVatron
• First Observation of the Direct Production of the ${\chi }_{c1}$ in $e^{+}{e}^{-}$ Annihilation
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• NNLO massive corrections to Bhabha scattering and theoretical precision of BabaYaga@NLO
• Electroweak corrections to $e^{+}{e}^{-}\to \gamma \gamma$ as a luminosity process at FCC-ee
• Phenomenological studies of top-pair production at Next-to-Leading order