TY - JOUR
T1 - Hadronic quarkonium decays at order v7
AU - Brambilla, Nora
AU - Vairo, Antonio
AU - Mereghetti, Emanuele
PY - 2009/4/1
Y1 - 2009/4/1
N2 - We compute the complete imaginary part of the nonrelativistic QCD (NRQCD) Lagrangian at order 1/M4 in the heavy-quark mass expansion, which includes center of mass operators, and at order αs2 in the matching coefficients. We also compute the imaginary part of the NRQCD Lagrangian at order 1/M6 and at order αs2 that contributes to the S-wave and P-wave inclusive decay widths of heavy quarkonium into light hadrons at order v7 in the heavy-quark velocity expansion. If we count αs(M)∼v2, 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 Poincaré 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.
AB - We compute the complete imaginary part of the nonrelativistic QCD (NRQCD) Lagrangian at order 1/M4 in the heavy-quark mass expansion, which includes center of mass operators, and at order αs2 in the matching coefficients. We also compute the imaginary part of the NRQCD Lagrangian at order 1/M6 and at order αs2 that contributes to the S-wave and P-wave inclusive decay widths of heavy quarkonium into light hadrons at order v7 in the heavy-quark velocity expansion. If we count αs(M)∼v2, 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 Poincaré 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.
UR - http://www.scopus.com/inward/record.url?scp=65149089881&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.79.074002
DO - 10.1103/PhysRevD.79.074002
M3 - Article
AN - SCOPUS:65149089881
SN - 1550-7998
VL - 79
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 7
M1 - 074002
ER -