Davies, C. T.H. , Harrison, J., Hughes, C., Horgan, R. R., von Hippel, G. M. and Wingate, M. (2019) Improving the kinetic couplings in lattice nonrelativistic QCD. Physical Review D, 99, 054502. (doi: 10.1103/PhysRevD.99.054502)
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Abstract
We improve the nonrelativistic QCD (NRQCD) action by comparing the dispersion relation to that of the continuum through O(p6) in perturbation theory. The one-loop matching coefficients of the O(p4) kinetic operators are determined, as well as the scale at which to evaluate αs in the V-scheme for each quantity. We utilize automated lattice perturbation theory using twisted boundary conditions as an infrared regulator. The one-loop radiative corrections to the mass renormalization, zero-point energy and overall energy-shift of an NRQCD b-quark are also found. We also explore how a Fat3-smeared NRQCD action and changes of the stability parameter n affect the coefficients. Finally, we use gluon field ensembles at multiple lattice spacing values, all of which include u, d, s and c quark vacuum polarization, to test how the improvements affect the nonperturbatively determined Υ(1S) and ηb(1S) kinetic masses, and the tuning of the b quark mass.
| Item Type: | Articles |
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| Additional Information: | This work was funded in part by UK Science and Technology Facilities Council (STFC) grants ST/L000385/1, ST/L000466/1 and ST/P000681/1. This work used the DiRAC Data Analytic system at the University of Cambridge, operated by the University of Cambridge High Performance Computing Service on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This equipment was funded by BIS National E-infrastructure capital grant (ST/K001590/1), STFC capital grants ST/H008861/1 and ST/H00887X/1, and STFC DiRAC Operations grant ST/K00333X/1. DiRAC is part of the National E-Infrastructure. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Harrison, Dr Judd and Davies, Professor Christine |
| Authors: | Davies, C. T.H., Harrison, J., Hughes, C., Horgan, R. R., von Hippel, G. M., and Wingate, M. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review D |
| Publisher: | American Physical Society |
| ISSN: | 2470-0010 |
| ISSN (Online): | 2470-0029 |
| Copyright Holders: | Copyright © 2019 American Physical Society |
| First Published: | First published in Physical Review D 99:054502 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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