Ultrasoft Renormalization in Non-Relativistic QCD

Abstract

For Non-Relativistic QCD the velocity renormalization group correlates the renormalization scales for ultrasoft, potential and soft degrees of freedom. Here we discuss the renormalization of operators by ultrasoft gluons. We show that renormalization of soft vertices can induce new operators, and also present a procedure for correctly subtracting divergences in mixed potential-ultrasoft graphs. Our results affect the running of the spin-independent potentials in QCD. The change for the NNLL t-tbar cross section near threshold is very small, being at the 1% level and essentially independent of the energy. We also discuss implications for analyzing situations where mv^2 ~ Lambda_QCD.

31 pages, 11 figs

References in corpus (6)

• Multi-parameter fits to the t-tbar threshold observables at a future e+e- linear collider
• The Threshold t-tbar Cross Section at NNLL Order
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation
• Renormalization group improvement of the spectrum of Hydrogen-like atoms with massless fermions
• Top Quark Threshold Production at a gamma-gamma Collider at Next-to-Next-to-Leading Order

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