Geoffrey T. Bodwin

Argonne National Laboratory, Lemont, Illinois, United States

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Publications (88)261.23 Total impact

  • Geoffrey T. Bodwin, Hee Sok Chung, U-Rae Kim, Jungil Lee
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    ABSTRACT: We compute leading-power fragmentation corrections to $J/\psi$ photoproduction at DESY HERA, making use of the nonrelativistic QCD factorization approach. Our calculations include parton production cross sections through order $\alpha_s^3$, fragmentation functions though order $\alpha_s^2$, and leading logarithms of the transverse momentum divided by the charm-quark mass to all orders in $\alpha_s$. We find that the leading-power fragmentation corrections, beyond those that are included through next-to-leading order in $\alpha_s$, are small relative to the fixed-order contributions through next-to-leading order in $\alpha_s$. Consequently, an important discrepancy remains between the experimental measurements of the $J/\psi$ photoproduction cross section and predictions that make use of nonrelativistic-QCD long-distance matrix elements that are extracted from the $J/\psi$ hadroproduction cross-section and polarization data.
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    Geoffrey T. Bodwin, Hee Sok Chung, U-Rae Kim, Jungil Lee
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    ABSTRACT: We compute fragmentation functions for a quark to fragment to a quarkonium through an $S$-wave spin-triplet heavy quark-antiquark pair. We consider both color-singlet and color-octet heavy quark-antiquark ($Q\bar Q$) pairs. We give results for the case in which the fragmenting quark and the quark that is a constituent of the quarkonium have different flavors and for the case in which these quarks have the same flavors. Our results for the sum over all spin polarizations of the $Q\bar Q$ pairs confirm previous results. Our results for longitudinally polarized $Q\bar Q$ pairs are new.
    Physical Review D 12/2014; 91(7). DOI:10.1103/PhysRevD.91.074013 · 4.86 Impact Factor
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    ABSTRACT: We improve the theoretical predictions for the decays of the Higgs boson to an $S$-wave vector quarkonium plus a photon by calculating the relativistic correction of order $v^2$, where $v$ is the heavy-quark velocity in the quarkonium rest frame. Our numerical results also include a previously calculated correction of order $\alpha_s$ and summations, to all orders in $\alpha_s$, of leading logarithms of $m_H^2/m_Q^2$, where $m_H$ is the Higgs-boson mass and $m_Q$ is the heavy-quark mass. These QCD corrections apply to the contribution of leading order in $v$ and to part of the order-$v^2$ correction. For the remainder of the order-$v^2$ correction, we sum leading logarithms of $m_H/m_Q$ through order $\alpha_s^2$. These refinements reduce the theoretical errors on the direct-production amplitudes for $H \to J/\psi+\gamma$ and $H \to \Upsilon+\gamma$ by approximately a factor of three and open the door to improved determinations at the LHC of the Higgs-boson Yukawa couplings to the charm and bottom quarks.
    Physical Review D 07/2014; 90(11). DOI:10.1103/PhysRevD.90.113010 · 4.86 Impact Factor
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    Geoffrey T. Bodwin, Hee Sok Chung, Jungil Lee
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    ABSTRACT: Double logarithms of $Q^2/m_c^2$ that appear in the cross section for $e^+e^-\to J/\psi + \eta_c$ at next-to-leading order (NLO) in the strong coupling $\alpha_s$ account for the bulk of the NLO correction at $B$-factory energies. (Here, $Q^2$ is the square of the center-of-momentum energy, and $m_c$ is the charm-quark mass.) We analyze the double logarithms that appear in the contribution of each of NLO Feynman diagram, and we find that the double logarithms arise from both the Sudakov and the endpoint regions of the loop integration. The Sudakov double logarithms cancel in the sum over all diagrams. We show that the endpoint region of integration can be interpreted as a pinch-singular region in which a spectator fermion line becomes soft or soft and collinear to a produced meson. This interpretation may be important in establishing factorization theorems for helicity-flip processes, such as $e^+e^-\to J/\psi + \eta_c$, and in resumming logarithms of $Q^2/m_c^2$ to all orders in $\alpha_s$.
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    Geoffrey T. Bodwin, Hee Sok Chung, U-Rae Kim, Jungil Lee
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    ABSTRACT: We compute leading-power fragmentation corrections to J/psi production at the Tevatron and the LHC. We find that, when these corrections are combined with perturbative corrections through next-to-leading order in the strong coupling constant alpha_s, we obtain a good fit to high-p_T cross section data from the CDF and CMS collaborations. The fitted long-distance matrix elements lead to predictions of near-zero J/psi polarization in the helicity frame at large p_T.
    Physical Review Letters 03/2014; 113(2). DOI:10.1103/PhysRevLett.113.022001 · 7.51 Impact Factor
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    ABSTRACT: In this Snowmass White Paper, we discuss physics opportunities involving heavy quarkonia at the intensity and energy frontiers of high energy physics. We focus primarily on two specific aspects of quarkonium physics for which significant advances can be expected from experiments at both frontiers. The first aspect is the spectroscopy of charmonium and bottomonium states above the open-heavy-flavor thresholds. Experiments at e^+ e^- colliders and at hadron colliders have discovered many new, unexpected quarkonium states in the last 10 years. Many of these states are surprisingly narrow, and some have electric charge. The observations of these charged quarkonium states are the first definitive discoveries of manifestly exotic hadrons. These results challenge our understanding of the QCD spectrum. The second aspect is the production of heavy quarkonium states with large transverse momentum. Experiments at the LHC are measuring quarkonium production with high statistics at unprecedented values of p_T. Recent theoretical developments may provide a rigorous theoretical framework for inclusive production of quarkonia at large p_T. Experiments at the energy frontier will provide definitive tests of this framework. Experiments at the intensity frontier also provide an opportunity to understand the exclusive production of quarkonium states.
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    ABSTRACT: In this paper we discuss decays of the Higgs boson to quarkonia in association with a photon. We identify a new mechanism for producing such final states in Higgs decays that leads to predictions for the decay rates that differ by an order of magnitude from previous estimates. Although the branching ratios for these processes are still small, the processes are experimentally clean, and the H \to J/\psi+gamma decay should be observable at a 14 TeV LHC. We point out that quantum interference between two different production mechanisms makes the decay rates sensitive to the HQQbar couplings. Consequently, measurements of the H \to J/\psi+gamma decay rate would allow one to probe the Higgs-charm coupling directly at the LHC. We discuss the experimental prospects for the observation of these decays and for the direct measurement of the Hccbar coupling.
    Physical review D: Particles and fields 06/2013; 88(5). DOI:10.1103/PhysRevD.88.053003 · 4.86 Impact Factor
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    Geoffrey T. Bodwin, Hee Sok Chung, Jungil Lee
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    ABSTRACT: We investigate the origin of the double logarithms of Q^2/m_c^2 that appear in the calculation of the cross section for e+e- -> J/psi + eta_c at next-to-leading order in alpha_s. We find that, diagram-by-diagram, the double logarithms are accounted for by Sudakov double logarithms and endpoint double logarithms. The Sudakov double logarithms cancel in the sum over all diagrams, but the endpoint double logarithms do not. We reinterpret the endpoint double logarithms in terms of a leading region of loop integration in which a spectator fermion line becomes soft. This reinterpretation may simplify the process of establishing an all-orders factorization theorem for this helicity-flip process, which, in turn, might allow one to resum logarithms of Q^2/m_c^2 to all orders in alpha_s.
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    Geoffrey T. Bodwin, U-Rae Kim, Jungil Lee
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    ABSTRACT: We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/psi at relative order v^4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process exhibits infrared divergences that manifest themselves as single and double poles in epsilon in 4-2epsilon dimensions. We isolate the infrared-divergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into long-distance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the long-distance NRQCD matrix elements involve Born and one-loop single-pole counterterm contributions and Born double-pole counterterm contributions. While the order-v^4 contribution enhances the J/psi hadroproduction rate for the color-singlet channel substantially, this contribution is not important numerically in comparison with the color-octet contributions. We also find that the ^3P_J color-octet channel in the gluon fragmentation function contributes to J/psi hadroproduction significantly in comparison with the complete contribution of next-to-leading order in alpha_s in that channel.
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    Geoffrey T. Bodwin, Andrea Petrelli
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    ABSTRACT: We correct several errors in Phys. Rev. D 66, 094011 (2002). [arXiv:hep-ph/0205210].
    Physical review D: Particles and fields 01/2013; 87(3). DOI:10.1103/PhysRevD.87.039902 · 4.86 Impact Factor
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    Geoffrey T. Bodwin, U-Rae Kim, Jungil Lee
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    ABSTRACT: We compute the relative-order-v^4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared divergences that produce single and double poles in epsilon in 4-2epsilon dimensions. We devise subtractions that isolate the pole contributions, which ultimately are absorbed into long-distance NRQCD matrix elements in the NRQCD matching procedure. The matching procedure involves two-loop renormalizations of the NRQCD operators. The subtractions are integrated over the phase space analytically in 4-2epsilon dimensions, and the remainder is integrated over the phase-space numerically. We find that the order-v^4 contribution is enhanced relative to the order-v^0 contribution. However, the order-v^4 contribution is not important numerically at the current level of precision of quarkonium-hadroproduction phenomenology. We also estimate the contribution to hadroproduction from gluon fragmentation into quarkonium in the 3PJ color-octet channel and find that it is significant in comparison to the complete next-to-leading-order-in-alpha_s contribution in that channel.
    Journal of High Energy Physics 08/2012; 2012(11). DOI:10.1007/JHEP11(2012)020 · 6.22 Impact Factor
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    Geoffrey T. Bodwin
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    ABSTRACT: I give an overview of the current status of the theory of charmonium production in hard-scattering processes and summarize the present state of comparisons between theory and experiment.
  • G. T.bodwin, D. K.sinclair, S.kim
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    ABSTRACT: We calculate the NRQCD matrix elements for the decays of the lowest-lying S- and P-wave states of charmonium and bottomonium in quenched lattice QCD. We also compute the one-loop relations between the lattice and continuum matrix elements.
    International Journal of Modern Physics A 01/2012; 12(22). DOI:10.1142/S0217751X97002176 · 1.09 Impact Factor
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    Geoffrey T. Bodwin
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    ABSTRACT: I review the NRQCD factorization approach for quarkonium production and compare its predictions with measurements in hadron-hadron and ep collisions.
    12/2010; 02. DOI:10.1142/S201019451100050X
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    Geoffrey T. Bodwin, Xavier Garcia i Tormo, Jungil Lee
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    ABSTRACT: We address the possibility in factorization proofs that low-energy collinear gluons can couple to soft gluons.
    11/2010; DOI:10.1063/1.3575015
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    ABSTRACT: A golden age for heavy quarkonium physics dawned a decade ago, initiated by the confluence of exciting advances in quantum chromodynamics (QCD) and an explosion of related experimental activity. The early years of this period were chronicled in the Quarkonium Working Group (QWG) CERN Yellow Report (YR) in 2004, which presented a comprehensive review of the status of the field at that time and provided specific recommendations for further progress. However, the broad spectrum of subsequent breakthroughs, surprises, and continuing puzzles could only be partially anticipated. Since the release of the YR, the BESII program concluded only to give birth to BESIII; the $B$-factories and CLEO-c flourished; quarkonium production and polarization measurements at HERA and the Tevatron matured; and heavy-ion collisions at RHIC have opened a window on the deconfinement regime. All these experiments leave legacies of quality, precision, and unsolved mysteries for quarkonium physics, and therefore beg for continuing investigations. The plethora of newly-found quarkonium-like states unleashed a flood of theoretical investigations into new forms of matter such as quark-gluon hybrids, mesonic molecules, and tetraquarks. Measurements of the spectroscopy, decays, production, and in-medium behavior of c\bar{c}, b\bar{b}, and b\bar{c} bound states have been shown to validate some theoretical approaches to QCD and highlight lack of quantitative success for others. The intriguing details of quarkonium suppression in heavy-ion collisions that have emerged from RHIC have elevated the importance of separating hot- and cold-nuclear-matter effects in quark-gluon plasma studies. This review systematically addresses all these matters and concludes by prioritizing directions for ongoing and future efforts.
    European Physical Journal C 10/2010; 71(2). DOI:10.1140/epjc/s10052-010-1534-9 · 5.44 Impact Factor
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    Geoffrey T. Bodwin, Xavier Garcia i Tormo, Jungil Lee
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    ABSTRACT: We present factorization theorems for two exclusive heavy-quarkonium production processes: production of two quarkonia in e^+e^- annihilation and production of a quarkonium and a light meson in B-meson decays. We describe the general proofs of factorization and supplement them with explicit one-loop analyses, which illustrate some of the features of the soft-gluon cancellations. We find that violations of factorization are generally suppressed relative to the factorized contributions by a factor v^2m_c/Q for each S-wave charmonium and a factor m_c/Q for each L-wave charmonium with L>0. Here, v is the velocity of the heavy quark or antiquark in the quarkonium rest frame, Q=sqrt{s} for e^+e^- annihilation, Q=m_B for B-meson decays, sqrt{s} is the e^+e^- center-of-momentum energy, m_c is the charm-quark mass, and m_B is the B-meson mass. There are modifications to the suppression factors if quantum-number restrictions apply for the specific process. Comment: 69 pages, 12 figures, 2 tables. v2: Version published in Physical Review D
    Physical review D: Particles and fields 02/2010; 81(11). DOI:10.1103/PhysRevD.81.114014 · 4.86 Impact Factor
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    Geoffrey T. Bodwin, Xavier Garcia i Tormo, Jungil Lee
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    ABSTRACT: We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e^+e^- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes. Comment: 18 pages, 10 figures, 2 tables, version published in Physical Review D
    Physical review D: Particles and fields 03/2009; 81(11). DOI:10.1103/PhysRevD.81.114005 · 4.86 Impact Factor
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    Geoffrey T Bodwin, Xavier Garcia I Tormo, Jungil Lee
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    ABSTRACT: We outline the proofs of the factorization theorems for exclusive two-body charmonium production in B-meson decay and e;{+}e;{-} annihilation to all orders in perturbation theory in quantum chromodynamics. We find that factorized expressions hold up to corrections of order m_{c}/m_{b} in B-meson decay and corrections of order m_{c};{2}/s in e;{+}e;{-} annihilation, where m_{c} is the charm-quark mass, m_{b} is the bottom-quark mass, and sqrt[s] is the e;{+}e;{-} center-of-momentum energy.
    Physical Review Letters 10/2008; 101(10):102002. DOI:10.1103/PhysRevLett.101.102002 · 7.51 Impact Factor
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    Geoffrey T. Bodwin, Hee Sok Chung, Jungil Lee, Chaehyun Yu
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    ABSTRACT: We compute in order alpha_s the nonrelativistic QCD (NRQCD) short-distance coefficients that match quark-antiquark operators of all orders in the heavy-quark velocity v to the electromagnetic current. We employ a new method to compute the one-loop NRQCD contribution to the matching condition. The new method uses full-QCD expressions as a starting point to obtain the NRQCD contribution, thus greatly streamlining the calculation. Our results show that, under a mild constraint on the NRQCD operator matrix elements, the NRQCD velocity expansion for the quark-antiquark-operator contributions to the electromagnetic current converges. The velocity expansion converges rapidly for approximate J/psi operator matrix elements.
    Physical review D: Particles and fields 08/2008; 79(1). DOI:10.1103/PHYSREVD.79.014007 · 4.86 Impact Factor

Publication Stats

4k Citations
261.23 Total Impact Points

Institutions

  • 1990–2014
    • Argonne National Laboratory
      • Division of High Energy Physics
      Lemont, Illinois, United States
  • 2010
    • University of Alberta
      • Department of Physics
      Edmonton, Alberta, Canada
  • 2007
    • The Ohio State University
      • Department of Physics
      Columbus, Ohio, United States
  • 2004–2007
    • Korea University
      • Department of Physics
      Seoul, Seoul, South Korea
  • 1988
    • University of Illinois at Chicago
      • Department of Physics
      Chicago, Illinois, United States
  • 1981
    • Stanford University
      • SLAC National Accelerator Laboratory
      Palo Alto, California, United States