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 leading velocity order.
Ultrasoft Renormalization in Non-Relativistic QCD
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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.
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Factorizing quarkonium production matrix elements using effective field theory
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 leading velocity order.