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.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 8 Jul 2011|