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Title: Spin correlations and velocity scaling in color-octet nonrelativistic QCD matrix elements

Abstract

We compute spin-dependent decay matrix elements for S-wave charmonium and bottomonium in lattice nonrelativistic quantum chromodynamics (NRQCD). Particular emphasis is placed upon the color-octet matrix elements, since the corresponding production matrix elements are expected to appear in the dominant contributions to the production cross sections at large transverse momenta. We use three slightly different versions of the heavy-quark lattice Green's functions in order to minimize the contributions that scale as powers of the ultraviolet cutoff. The lattice matrix elements that we calculate obey the hierarchy that is suggested by the velocity-scaling rules of NRQCD.

Authors:
;  [1];  [2]
  1. High Energy Physics Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
  2. Department of Physics, Korea University, Seoul 136-701 (Korea, Republic of)
Publication Date:
OSTI Identifier:
20711051
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.72.014009; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B QUARKS; BOTTOMONIUM; CHARMONIUM; COLOR MODEL; CORRELATIONS; GREEN FUNCTION; HADRONIC PARTICLE DECAY; LATTICE FIELD THEORY; MATRIX ELEMENTS; PARTICLE MULTIPLETS; QUANTUM CHROMODYNAMICS; RESONANCE PARTICLES; S WAVES; SPIN; TRANSVERSE MOMENTUM; ULTRAVIOLET DIVERGENCES

Citation Formats

Bodwin, Geoffrey T, Sinclair, D K, and Lee, Jungil. Spin correlations and velocity scaling in color-octet nonrelativistic QCD matrix elements. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.014009.
Bodwin, Geoffrey T, Sinclair, D K, & Lee, Jungil. Spin correlations and velocity scaling in color-octet nonrelativistic QCD matrix elements. United States. https://doi.org/10.1103/PhysRevD.72.014009
Bodwin, Geoffrey T, Sinclair, D K, and Lee, Jungil. Fri . "Spin correlations and velocity scaling in color-octet nonrelativistic QCD matrix elements". United States. https://doi.org/10.1103/PhysRevD.72.014009.
@article{osti_20711051,
title = {Spin correlations and velocity scaling in color-octet nonrelativistic QCD matrix elements},
author = {Bodwin, Geoffrey T and Sinclair, D K and Lee, Jungil},
abstractNote = {We compute spin-dependent decay matrix elements for S-wave charmonium and bottomonium in lattice nonrelativistic quantum chromodynamics (NRQCD). Particular emphasis is placed upon the color-octet matrix elements, since the corresponding production matrix elements are expected to appear in the dominant contributions to the production cross sections at large transverse momenta. We use three slightly different versions of the heavy-quark lattice Green's functions in order to minimize the contributions that scale as powers of the ultraviolet cutoff. The lattice matrix elements that we calculate obey the hierarchy that is suggested by the velocity-scaling rules of NRQCD.},
doi = {10.1103/PhysRevD.72.014009},
url = {https://www.osti.gov/biblio/20711051}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 72,
place = {United States},
year = {2005},
month = {7}
}