Soft-collinear effective theory and heavy-to-light currents beyond leading power

By Martin Beneke, A. Chapovsky, M. Diehl, T. Feldmann. 2002

682 citations recorded by the source corpus.

Abstract An important unresolved question in strong interaction physics concerns the parameterization of power-suppressed long-distance effects to hard processes that do not admit an operator product expansion (OPE). Recently Bauer et al. have developed an effective field theory framework that allows one to formulate the problem of soft-collinear factorization in terms of fields and operators. We extend the formulation of soft-collinear effective theory, previously worked out to leading order, to second order in a power series in the inverse of the hard scale. We give the effective Lagrangian and the expansion of “currents” that produce collinear particles in heavy quark decay. This is the first step towards a theory of power corrections to hard processes where the OPE cannot be used. We apply this framework to heavy-to-light meson transition form factors at large recoil energy.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/db5c2ce683907fc91bc861ae4ac883f40d1d809c

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In Nuclear and High Energy Physics

Citations in the corpus

High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “In this region, contributions from soft and collinear gluon emission can be resummed to all orders in the coupling constant, either using Mellin space methods [25, 26, 27, 28, 29] or within soft-collinear effective field theory (SCET) [30, 31, 32, 33, 34].”
Effective field theories for heavy quarkonium (2004, background): “Nowadays, SCET is being developed by several groups (Bauer et al., 2001c; Beneke et al., 2002; Chay and Kim, 2002; Hill and Neubert, 2003).”
Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach (2010, neutral): “(1)We note that among the different approaches to Sudakov resummation, SCET appears particularly well-suited, in principle, to study subleading terms in the threshold expansion, see for example [27].”
Present Status of Inclusive Rare B Decays (2002, background): “A promising step in this direction was recently presented in [25].”
Factorization properties of soft graviton amplitudes (2011, methodology): “A number of approaches exist, such as Feynman diagram methods [16, 17], Wilson line techniques [18, 19], effective field theories [20, 21, 22, 23, 24, 25], and the recently developed path integral approach of [26].”
Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, methodology): “In a recent letter [3], we have shown that the IR singularities of on-shell, n-particle scattering amplitudes in massless QCD are in one-to-one correspondence with UV divergences of operators defined in soft-collinear effective theory (SCET) [4–7].”