6533b820fe1ef96bd1279260
RESEARCH PRODUCT
Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory
Ze Long LiuMatthias NeubertMatthias NeubertMatthias NeubertXing WangBianka Mecajsubject
High Energy Physics - TheoryPhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyOrder (ring theory)FOS: Physical sciencesHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)Soft-collinear effective theoryFactorizationHigh Energy Physics - Theory (hep-th)Weierstrass factorization theoremsymbolsHiggs bosonEffective field theoryPerturbation theoryResummationMathematical physicsdescription
Starting from the first renormalized factorization theorem for a process described at subleading power in soft-collinear effective theory, we discuss the resummation of Sudakov logarithms for such processes in renormalization-group improved perturbation 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 resum large logarithms of the ratio $M_h/m_b$ at next-to-leading logarithmic order. We also briefly discuss the related $gg\to h$ amplitude.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-09-09 |