Factorization at Subleading Power and Endpoint Divergences in Soft-Collinear Effective Theory

Monday, 28 September 2020 at 11:15, in Y36 K08 - Campus Irchel

We derive the first renormalized factorization theorem for a process described at subleading power in soft-collinear effective theory. Endpoint divergences in convolution integrals, which arise generically beyond leading power, are regularized and removed by systematically rearranging the factorization formula. We study in detail the example of the $b$-quark induced $h\to\gamma\gamma$ decay of the Higgs boson, for which we derive the evolution equations for all quantities in the factorization theorem and resum large logarithms of the ratio $M_h/m_b$ at next-to-leading logarithmic order.