Higher-Order Leptonic Corrections in Covariant Approach*

In order to search for physics beyond the Standard Model at the precision frontier, it is sometimes essential to account for Next-to-Next- Leading Order (NNLO) theoretical corrections. Using the covariant approach, we calculated the full electroweak leptonic tensor up to quadratic (one loop squared) and two loop reducible NNLO (α^3) order, which can be used for the processes like e−p and μ− p scattering relevant to MOLLER (background studies) and MUSE experiments, respectively. In the covariant approach, we apply unitary cut of Feynman diagrams and separate them into leptonic and hadronic currents and hence, after squaring matrix element, we can obtain differential cross section up to NNLO level.

In this talk, I will quickly review covariant approach and provide our latest results for the full NNLO level electroweak corrections to e−p and μ− p scattering processes.