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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.
IMPORTANT: This is a special seminar with the speaker present at the MPP and with about 20 people allowed in the main auditorium. A zoom connection is organised for others not able to join in person.