Alladi Ramakrishnan Hall

NNLO QED corrections in McMule

Pulak Banerjee

IIT Guwahati

Next-to-next-to-leading order (NNLO) QED corrections are an important
ingredient for different low-energy experiments such as MUonE, MUSE, and
P2. In this talk, we will discuss the computation of such higher-order
corrections to different observables relevant to the above experiments. To
compute these corrections it is important to keep the masses of leptons
finite, which regularises the collinear singularities. Soft singularities
are treated with dimensional regularisation and using FKSl subtraction. We
will discuss the implementation of various QED processes at NNLO in the
McMule framework. We discuss the phenomenological results for muon-electron
scattering, including the dominant NNLO corrections. In addition, we also
discuss a stable implementation of the numerically delicate real-virtual
matrix elements for the Bhabha scattering as well as Møller scattering.