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Title: NRQCD Confronts LHCb Data on Quarkonium Production within Jets

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 3; Related Information: CHORUS Timestamp: 2017-07-18 22:12:42; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Bain, Reggie, Makris, Yiannis, Mehen, Thomas, Dai, Lin, and Leibovich, Adam K. NRQCD Confronts LHCb Data on Quarkonium Production within Jets. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.032002.
Bain, Reggie, Makris, Yiannis, Mehen, Thomas, Dai, Lin, & Leibovich, Adam K. NRQCD Confronts LHCb Data on Quarkonium Production within Jets. United States. doi:10.1103/PhysRevLett.119.032002.
Bain, Reggie, Makris, Yiannis, Mehen, Thomas, Dai, Lin, and Leibovich, Adam K. 2017. "NRQCD Confronts LHCb Data on Quarkonium Production within Jets". United States. doi:10.1103/PhysRevLett.119.032002.
title = {NRQCD Confronts LHCb Data on Quarkonium Production within Jets},
author = {Bain, Reggie and Makris, Yiannis and Mehen, Thomas and Dai, Lin and Leibovich, Adam K.},
abstractNote = {},
doi = {10.1103/PhysRevLett.119.032002},
journal = {Physical Review Letters},
number = 3,
volume = 119,
place = {United States},
year = 2017,
month = 7

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 18, 2018
Publisher's Accepted Manuscript

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  • We discuss factorization in heavy quarkonium production in high energy collisions using NRQCD. Infrared divergences at NNLO are not matched by conventional NRQCD matrix elements. However, we show that gauge invariance and factorization require that conventional NRQCD production matrix elements be modified to include Wilson lines or non-abelian gauge links. With this modification NRQCD factorization for heavy quarkonium production is restored at NNLO.
  • Numerical simulations of the quarkonium spin splittings are done in the framework of lattice nonrelativistic quantum chromodynamics. At leading order in the velocity expansion the spin splittings are of O(M{sub Q}v{sup 4}), where M{sub Q} is the renormalized quark mass and v{sup 2} is the mean squared quark velocity (v{sub {psi}}{sup 2}{approx}0.3 and v{sub {Upsilon}}{sup 2}{approx}0.1). A systematic analysis is done of all next-to-leading order corrections. This includes the addition of O(M{sub Q}v{sup 6}) relativistic interactions, and the removal of O(a{sup 2}M{sub Q}v{sup 4}) discretization errors in the leading-order interactions. Simulations are done for both S- and P-wave mesons, withmore » a variety of heavy quark actions and over a wide range of lattice spacings. Two prescriptions for the tadpole improvement of the action are also studied in detail: one using the measured value of the average plaquette, the other using the mean link measured in the Landau gauge. Next-to-leading order interactions result in a very large reduction in the charmonium splittings, down by about 60{percent} from their values at leading order. There are further indications that the velocity expansion may be poorly convergent for charmonium. Preliminary results show a small correction to the hyperfine splitting in the {Upsilon} system. {copyright} {ital 1997} {ital The American Physical Society}« less
  • The NRQCD factorization formalism of Bodwin, Braaten, and Lepage prescribes how to write quarkonium production rates as a sum of products of short-distance coefficients times nonperturbative long-distance NRQCD matrix elements. We present a calculation of the inclusive cross section for hadronic {psi} production within the framework of the factorization formalism. Our method applies to the case in which the helicity of the {psi} is not measured. In addition to the well-known {ital color}-{ital singlet} production mechanisms, there are equally important mechanisms in which the {ital c{bar c}} pair that forms the {ital J}/{psi} is initially produced in a {ital color}-{italmore » octet} state, in either a {sup 3}{ital S}{sub 1}, {sup 1}{ital S}{sub 0}, {sup 3}{ital P}{sub 0}, or {sup 3}{ital P}{sub 2} angular-momentum configuration. In our presentation, we faithfully follow the {open_quote}{open_quote}matching{close_quote}{close_quote} procedure, thereby shedding light on the NRQCD factorization formalism. We determine the short-distance coefficients appearing in the factorization formula, and we point out how one may systematically include relativistic corrections in these calculations. {copyright} {ital 1996 The American Physical Society.}« less
  • We report on our recent calculation of the inclusive direct photo- and hadroproduction of the J/{psi} meson at next-to-leading order within the factorization formalism of nonrelativistic QCD. We fit the color-octet (CO) long-distance matrix elements <O{sup J}/{psi}(1S{sub 0}{sup [8]})>, <O{sup J}/{psi}(3S{sub 1}{sup [8]})> and <O{sup J}/{psi}(3P{sub 0}{sup [8]})> to the transverse momentum (p{sub T}) distributions measured by CDF at Fermilab Tevatron and by H1 at DESY HERA and show that they also successfully describe the p{sub T} distributions from PHENIX at BNL RHIC and CMS at the CERN LHC as well as the photon-proton c.m. energy and (with worse agreement)more » the inelasticity distributions from H1. In all experiments, the CO processes are shown to be indispensable.« less
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