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NNLO leptonic and hadronic corrections to Bhabha scattering and luminosity monitoring at meson factories. (English) Zbl 1298.81413
Summary: 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 BBA_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 DA{$$\Phi$$}NE factory DANE, 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.
##### MSC:
 81V10 Electromagnetic interaction; quantum electrodynamics 81U05 $$2$$-body potential quantum scattering theory 81T15 Perturbative methods of renormalization applied to problems in quantum field theory 81T18 Feynman diagrams 81T80 Simulation and numerical modelling (quantum field theory) (MSC2010) 65C05 Monte Carlo methods
##### Software:
PHEGAS; BHAGEN-1PH; BBA_NNLO_HF; BabaYaga@NLO ; rhad; HELAC; FORM ; VEGAS; alphaQED; EKHARA
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