Publications (97)346.92 Total impact

Article: Fragmentation contributions to hadroproduction of prompt J / ψ , χ c J , and ψ ( 2 S ) states
[Show abstract] [Hide abstract] ABSTRACT: We compute fragmentation corrections to hadroproduction of the quarkonium states J/ψ, χcJ, and ψ(2S) at leading power in mc2/pT2, where mc is the charmquark mass and pT is the quarkonium transverse momentum. The computation is carried out in the framework of nonrelativistic QCD. We include corrections to the partonproduction cross sections through nexttoleading order in the strong coupling αs and corrections to the fragmentation functions through second order in αs. We also sum leading logarithms of pT2/mc2 to all orders in perturbation theory. We find that, when we combine these leadingpower fragmentation corrections with fixedorder calculations through nexttoleading order in αs, we are able to obtain good fits for pT≥10 GeV to hadroproduction cross sections that were measured at the Tevatron and the LHC. Using values for the nonperturbative longdistance matrix elements that we extract from the crosssection fits, we make predictions for the polarizations of the quarkonium states. We obtain good agreement with measurements of the polarizations, with the exception of the CDF Run II measurement of the prompt J/ψ polarization, for which the agreement is only fair. In the predictions for the promptJ/ψ cross sections and polarizations, we take into account feeddown from the χcJ and ψ(2S) states.  [Show abstract] [Hide abstract] ABSTRACT: We compute fragmentation corrections to hadroproduction of the quarkonium states $J/\psi$, $\chi_{cJ}$, and $\psi(2S)$ at leading power in $m_c/p_T$, where $m_c$ is the charmquark mass and $p_T$ is the quarkonium transverse momentum. The computation is carried out in the framework of nonrelativistic QCD. We include corrections to the partonproduction cross sections through nexttoleading order in the strong coupling $\alpha_s$ and corrections to the fragmentation functions through second order in $\alpha_s$. We also sum leading logarithms of $p_T^2/m_c^2$ to all orders in perturbation theory. We find that, when we combined these leadingpower fragmentation corrections with fixedorder calculations through nexttoleading order in $\alpha_s$, we are able to obtain good fits for $p_T\geq 10$ GeV to hadroproduction cross sections that were measured at the Tevatron and the LHC. Using values for the nonperturbative longdistance matrix elements that we extract from the crosssection fits, we make predictions for the polarizations of the quarkonium states. We obtain good agreement with measurements of the polarizations, with the exception of the CDF Run II measurement of the prompt $J/\psi$ polarization, for which the agreement is only fair. In the predictions for the prompt$J/\psi$ cross sections and polarizations, we take into account feeddown from the $\chi_{cJ}$ and $\psi(2S)$ states.
 [Show abstract] [Hide abstract] ABSTRACT: We compute leadingpower 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 charmquark mass to all orders in $\alpha_s$. We find that the leadingpower fragmentation corrections, beyond those that are included through nexttoleading order in $\alpha_s$, are small relative to the fixedorder contributions through nexttoleading 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 nonrelativisticQCD longdistance matrix elements that are extracted from the $J/\psi$ hadroproduction crosssection and polarization data.
 [Show abstract] [Hide abstract] ABSTRACT: We compute fragmentation functions for a quark to fragment to a quarkonium through an $S$wave spintriplet heavy quarkantiquark pair. We consider both colorsinglet and coloroctet heavy quarkantiquark ($Q\bar Q$) 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.
 [Show abstract] [Hide abstract] 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 heavyquark 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 Higgsboson mass and $m_Q$ is the heavyquark 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 directproduction 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 Higgsboson Yukawa couplings to the charm and bottom quarks.
 [Show abstract] [Hide abstract] ABSTRACT: Double logarithms of $Q^2/m_c^2$ that appear in the cross section for $e^+e^\to J/\psi + \eta_c$ at nexttoleading 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 centerofmomentum energy, and $m_c$ is the charmquark 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 pinchsingular 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 helicityflip processes, such as $e^+e^\to J/\psi + \eta_c$, and in resumming logarithms of $Q^2/m_c^2$ to all orders in $\alpha_s$.
 [Show abstract] [Hide abstract] ABSTRACT: We compute leadingpower fragmentation corrections to J/psi production at the Tevatron and the LHC. We find that, when these corrections are combined with perturbative corrections through nexttoleading order in the strong coupling constant alpha_s, we obtain a good fit to highp_T cross section data from the CDF and CMS collaborations. The fitted longdistance matrix elements lead to predictions of nearzero J/psi polarization in the helicity frame at large p_T.
 [Show abstract] [Hide abstract] 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 openheavyflavor 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.
 [Show abstract] [Hide abstract] 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 Higgscharm 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.
 [Show abstract] [Hide abstract] 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 nexttoleading order in alpha_s. We find that, diagrambydiagram, 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 allorders factorization theorem for this helicityflip process, which, in turn, might allow one to resum logarithms of Q^2/m_c^2 to all orders in alpha_s.
 [Show abstract] [Hide abstract] ABSTRACT: We compute the relativistic corrections to the colorsinglet contribution to gluon fragmentation into a J/psi at relative order v^4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding fullQCD process exhibits infrared divergences that manifest themselves as single and double poles in epsilon in 42epsilon dimensions. We isolate the infrareddivergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into longdistance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the longdistance NRQCD matrix elements involve Born and oneloop singlepole counterterm contributions and Born doublepole counterterm contributions. While the orderv^4 contribution enhances the J/psi hadroproduction rate for the colorsinglet channel substantially, this contribution is not important numerically in comparison with the coloroctet contributions. We also find that the ^3P_J coloroctet channel in the gluon fragmentation function contributes to J/psi hadroproduction significantly in comparison with the complete contribution of nexttoleading order in alpha_s in that channel.
 [Show abstract] [Hide abstract] ABSTRACT: We correct several errors in Phys. Rev. D 66, 094011 (2002). [arXiv:hepph/0205210].

Article: Higherorder relativistic corrections to gluon fragmentation into spintriplet Swave quarkonium
[Show abstract] [Hide abstract] ABSTRACT: We compute the relativeorderv 4 contribution to gluon fragmentation into quarkonium in the \( ^3{S_1} \) colorsinglet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared divergences that produce single and double poles in ∈ in 4 − 2∈ dimensions. We devise subtractions that isolate the pole contributions, which ultimately are absorbed into longdistance NRQCD matrix elements in the NRQCD matching procedure. The matching procedure involves twoloop renormalizations of the NRQCD operators. The subtractions are integrated over the phase space analytically in 4 − 2∈ dimensions, and the remainder is integrated over the phasespace numerically. We find that the orderv 4 contribution is enhanced relative to the orderv 0 contribution. However, the orderv 4 contribution is not important numerically at the current level of precision of quarkoniumhadroproduction phenomenology. We also estimate the contribution to hadroproduction from gluon fragmentation into quarkonium in the \( ^3{P_J} \) coloroctet channel and find that it is significant in comparison to the complete nexttoleadingorderinαs contribution in that channel. 
Article: Theory of Charmonium Production
[Show abstract] [Hide abstract] ABSTRACT: I give an overview of the current status of the theory of charmonium production in hardscattering processes and summarize the present state of comparisons between theory and experiment.  [Show abstract] [Hide abstract] ABSTRACT: We calculate the NRQCD matrix elements for the decays of the lowestlying S and Pwave states of charmonium and bottomonium in quenched lattice QCD. We also compute the oneloop relations between the lattice and continuum matrix elements.

Article: Endpoint logarithms in e+e→ J/π +ηc
[Show abstract] [Hide abstract] ABSTRACT: We investigate the origin of the double logarithms of Q2/m c2 that appear in the calculation of the cross section for e+e → J/π +ηc at nexttoleading order in the strong coupling αs. Here, Q2 is the square of the centerofmomentum energy, and mc is the charmquark mass. We find that, diagrambydiagram, 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 and collinear. This reinterpretation may simplify the process of establishing an allorders factorization theorem for this helicityflip process, which, in turn, might allow one to resum logarithms of Q2/mc2 to all orders in αs.  [Show abstract] [Hide abstract] ABSTRACT: I review the NRQCD factorization approach for quarkonium production and compare its predictions with measurements in hadronhadron and ep collisions.
 [Show abstract] [Hide abstract] ABSTRACT: We address the possibility in factorization proofs that lowenergy collinear gluons can couple to soft gluons.
 [Show abstract] [Hide abstract] 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 CLEOc flourished; quarkonium production and polarization measurements at HERA and the Tevatron matured; and heavyion 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 newlyfound quarkoniumlike states unleashed a flood of theoretical investigations into new forms of matter such as quarkgluon hybrids, mesonic molecules, and tetraquarks. Measurements of the spectroscopy, decays, production, and inmedium 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 heavyion collisions that have emerged from RHIC have elevated the importance of separating hot and coldnuclearmatter effects in quarkgluon plasma studies. This review systematically addresses all these matters and concludes by prioritizing directions for ongoing and future efforts.
 [Show abstract] [Hide abstract] ABSTRACT: We present factorization theorems for two exclusive heavyquarkonium production processes: production of two quarkonia in e^+e^ annihilation and production of a quarkonium and a light meson in Bmeson decays. We describe the general proofs of factorization and supplement them with explicit oneloop analyses, which illustrate some of the features of the softgluon cancellations. We find that violations of factorization are generally suppressed relative to the factorized contributions by a factor v^2m_c/Q for each Swave charmonium and a factor m_c/Q for each Lwave 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 Bmeson decays, sqrt{s} is the e^+e^ centerofmomentum energy, m_c is the charmquark mass, and m_B is the Bmeson mass. There are modifications to the suppression factors if quantumnumber restrictions apply for the specific process. Comment: 69 pages, 12 figures, 2 tables. v2: Version published in Physical Review D
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5k  Citations  
346.92  Total Impact Points  
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Institutions

19852013

Argonne National Laboratory
 Division of High Energy Physics
Lemont, Illinois, United States


2004

Korea University
 Department of Physics
Sŏul, Seoul, South Korea


19811982

Stanford University
 SLAC National Accelerator Laboratory
Stanford, California, United States


1978

Cornell University
Ithaca, New York, United States
