Ultrasoft Renormalization in Non-Relativistic QCD

Details Ultrasoft Renormalization in Non-Relativistic QCD Ultrasoft Renormalization in Non-Relativistic QCD

2002-09-30

arxiv.org/abs/hep-ph/0209340v1

Phys.Rev. D67 (2003) 114020

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 11 figs

Scientific paper

10.1103/PhysRevD.67.114020

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.

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