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Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors

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arxiv hep-ph/0404217 v2 pith:AK6PFJH7 submitted 2004-04-23 hep-ph

classification hep-ph
keywords formcontributionsfactorshard-scatteringtheoryeffectivelogarithmsmatching
verification ladder T0 review T1 audit T2 compute T3 formal
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The hard-scattering contributions to heavy-to-light form factors at large recoil are studied systematically in soft-collinear effective theory (SCET). Large logarithms arising from multiple energy scales are resummed by matching QCD onto SCET in two stages via an intermediate effective theory. Anomalous dimensions in the intermediate theory are computed, and their form is shown to be constrained by conformal symmetry. Renormalization-group evolution equations are solved to give a complete leading-order analysis of the hard-scattering contributions, in which all single and double logarithms are resummed. In two cases, spin-symmetry relations for the soft-overlap contributions to form factors are shown not to be broken at any order in perturbation theory by hard-scattering corrections. One-loop matching calculations in the two effective theories are performed in sample cases, for which the relative importance of renormalization-group evolution and matching corrections is investigated. The asymptotic behavior of Sudakov logarithms appearing in the coefficient functions of the soft-overlap and hard-scattering contributions to form factors is analyzed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Simplest B Decay, Precisely

    hep-ph 2026-01 conditional novelty 8.0 of 10

    A complete QCD×QED, next-to-leading-power factorization now gives a percent-level prediction for B⁻→μ⁻ν̄(γ) with all structure-dependent electromagnetic corrections included.

  2. One-loop matching of QCD currents to power-suppressed two-jet operators

    hep-ph 2026-07 unverdicted novelty 7.0 of 10

    Computes NLO matching of QCD currents to power-suppressed two- and three-particle two-jet operators in SCET up to O(λ²), with endpoint factorization relations shown.

  3. SCET sum rules for $B\to D_1(2420)$ and $B\to D_1'(2430)$ form factors at next-to-leading order

    hep-ph 2026-07 conditional novelty 6.0 of 10

    First O(αs) SCET light-cone sum rules for B o D1 and B o D1' form factors yield R(D1)=0.070+0.028-0.018 and R(D1')=0.159+0.032-0.025.

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