Two-loop operator matrix elements for massive fermionic local twist-2 operators in QED

2011/11/28 by Blümlein, J., De Freitas, A., van Neerven, W. L.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1111.6480

Abstract

We describe the calculation of the two--loop massive operator matrix elements with massive external fermions in QED. We investigate the factorization of the O(α²) initial state corrections to e⁺e^- annihilation into a virtual boson for large cms energies s ≫ m_e² into massive operator matrix elements and the massless Wilson coefficients of the Drell-Yan process adapting the color coefficients to the case of QED, as proposed by Berends et. al. in Ref. [1]. Our calculations show explicitly that the representation proposed in Ref. [1] works at one-loop order and up to terms linear in ln(s/m²_e) at two-loop order. However, the two-loop constant part contains a few structural terms, which have not been obtained in previous direct calculations.

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