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Renormalization group scaling in nonrelativistic QCD

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arxiv hep-ph/9910209 v1 pith:DZ3RE3L2 submitted 1999-10-02 hep-ph

classification hep-ph
keywords grouprenormalizationsubtractionusedvelocityanomalousapplyconditions
verification ladder T0 review T1 audit T2 compute T3 formal

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We discuss the matching conditions and renormalization group evolution of non-relativistic QCD. A variant of the conventional MS-bar scheme is proposed in which a subtraction velocity nu is used rather than a subtraction scale mu. We derive a novel renormalization group equation in velocity space which can be used to sum logarithms of v in the effective theory. We apply our method to several examples. In particular we show that our formulation correctly reproduces the two-loop anomalous dimension of the heavy quark production current near threshold.

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Cited by 4 Pith papers

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

  1. Factorizing quarkonium production matrix elements using effective field theory

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Factorizes NRQCD production matrix elements for S- and P-wave quarkonia into wavefunctions and universal chromo-electric/magnetic gluon correlators via hybrid vNRQCD/pNRQCD and Hubbard-Stratonovich transformation at l...

  2. The role of the soft scale for $J/\psi$ production in the transverse momentum dependent framework

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper derives new TMD soft transition functions and shows they dominate J/psi production at small transverse momentum by a factor of 1/v over previously used shape functions.

  3. Relativistic corrections to exclusive photoproduction of Quarkonia near-threshold

    hep-ph 2025-06 conditional novelty 6.0 of 10

    The leading relativistic correction to near-threshold photoproduction of J/psi and Upsilon is derived; for J/psi it is so large that the standard moment-expansion analysis of the proton's gluon gravitational form fact...

  4. Modeling the TMD shape function in $J/\psi$ electroproduction

    hep-ph 2025-10 unverdicted novelty 5.0 of 10

    NLO hard function in TMD factorization for quarkonium electroproduction with predictions for unpolarized J/ψ cross section at EIC.

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