Next-to-leading ultrasoft running of the heavy quarkonium potentials and spectrum: Spin-independent case

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Abstract

We compute the next-to-leading logarithmic ultrasoft running of the spin-independent singlet potentials up to O(1/m2) and the corresponding contribution to the spectrum. This includes the static energy at next-to-next-to-next-to-leading logarithmic order. As a by-product of these results, we set the stage for the complete analytic and numerical computation of the heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy for l 0 (angular momentum) and s=0 (spin) states. We also compute the next-to-next-to-next-to-next-to-leading-order ultrasoft spin-independent contribution to the heavy quarkonium mass and static energy. © 2011 American Physical Society.
Original languageEnglish
Article number014012
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number1
DOIs
Publication statusPublished - 8 Jul 2011

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