Renormalization of heavy-light currents in moving nonrelativistic QCD

Journal Article · Tue Feb 01 04:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.034501· OSTI ID:21504897

Mueller, E H; Hart, A ^[1]; Horgan, R R ^[2]

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1. SUPA, School of Physics and Astronomy, University of Edinburgh, JCMB, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ (United Kingdom)
2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Cambridge CB3 0WA (United Kingdom)

Heavy-light decays such as B{yields}{pi}l{nu}, B{yields}K*{gamma} and B{yields}K{sup (*)}ll can be used to constrain the parameters of the standard model and in indirect searches for new physics. While the precision of experimental results has improved over the last years this has still to be matched by equally precise theoretical predictions. The calculation of heavy-light form factors is currently carried out in lattice QCD. Because of its small Compton wavelength we discretize the heavy quark in an effective nonrelativistic theory. By formulating the theory in a moving frame of reference discretization errors in the final state are reduced at large recoil. Over the last years the formalism has been improved and tested extensively. Systematic uncertainties are reduced by renormalizing the m(oving) NRQCD action and heavy-light decay operators. The theory differs from QCD only for large loop momenta at the order of the lattice cutoff and the calculation can be carried out in perturbation theory as an expansion in the strong coupling constant. In this paper we calculate the one-loop corrections to the heavy-light vector and tensor operator. Because of the complexity of the action the generation of lattice Feynman rules is automated and loop integrals are solved by the adaptive Monte Carlo integrator VEGAS. We discuss the infrared and ultraviolet divergences in the loop integrals both in the continuum and on the lattice. The light quarks are discretized in the ASQTad and highly improved staggered quark (HISQ) action; the formalism is easily extended to other quark actions.

• OSTI ID: 21504897
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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ANTIKAONS
ANTIMATTER
ANTIPARTICLES
B MESONS
BEAUTY MESONS
BEAUTY PARTICLES
BOSONS
CALCULATION METHODS
COMPTON WAVELENGTH
CORRECTIONS
DECAY
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
EXPANSION
FERMIONS
FIELD THEORIES
FORECASTING
FORM FACTORS
GRAND UNIFIED THEORY
HADRONS
KAONS
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MONTE CARLO METHOD
NEUTRINOS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PROPERTIES
PERTURBATION THEORY
PIONS
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QUANTUM CHROMODYNAMICS
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STANDARD MODEL
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