Hadronic quarkonium decays at order v{sup 7}

Journal Article · Wed Apr 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.074002· OSTI ID:21308156

Brambilla, Nora; Vairo, Antonio; Mereghetti, Emanuele ^[1]

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1. Dipartimento di Fisica dell'Universita di Milano and INFN, via Celoria 16, 20133 Milano (Italy)

We compute the complete imaginary part of the nonrelativistic QCD (NRQCD) Lagrangian at order 1/M{sup 4} in the heavy-quark mass expansion, which includes center of mass operators, and at order {alpha}{sub s}{sup 2} in the matching coefficients. We also compute the imaginary part of the NRQCD Lagrangian at order 1/M{sup 6} and at order {alpha}{sub s}{sup 2} that contributes to the S-wave and P-wave inclusive decay widths of heavy quarkonium into light hadrons at order v{sup 7} in the heavy-quark velocity expansion. If we count {alpha}{sub s}(M){approx}v{sup 2}, the calculation provides the complete next-to-leading order corrections to the P-wave hadronic widths, and in the original NRQCD power counting, the complete next-to-leading order corrections to the vector S-wave widths, and part of the next-to-next-to leading order corrections to the pseudoscalar S-wave widths. In the S-wave case, we confirm previous findings and add new terms in a more conservative power counting. In the P-wave case, our results are in disagreement with previous ones. Constraints induced by Poincare invariance on the NRQCD four-fermion sector are studied for the first time and provide an additional check of the calculation. Perspectives for phenomenological applications are discussed.

• OSTI ID: 21308156
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
C QUARKS
CENTER-OF-MASS SYSTEM
COMPUTERIZED SIMULATION
CORRECTIONS
EXPANSION
HADRONS
LAGRANGIAN FUNCTION
P WAVES
PARTICLE DECAY
QUANTUM CHROMODYNAMICS
QUARKONIUM
S WAVES
T QUARKS
VELOCITY