We compute leading-power fragmentation corrections to $J/\ensuremath{\psi}$ production at the Tevatron and LHC. find that, when these are combined with perturbative through next-to-leading order in strong coupling constant ${\ensuremath{\alpha}}_{s}$, we obtain a good fit high-${p}_{T}$ cross section data from CDF CMS Collaborations. The fitted long-distance matrix elements lead predictions of near-zero polarization helicity frame large ${p}_{T}$.

We present a new computation of $S$-wave color-singlet nonrelativistic QCD matrix elements for the $J/\ensuremath{\psi}$ and ${\ensuremath{\eta}}_{c}$. compute leading order in heavy-quark velocity $v$ relative ${v}^{2}$. Our is based on electromagnetic decay rates ${\ensuremath{\eta}}_{c}$ potential model that employs Cornell potential. include relativistic corrections to rates, resumming class all orders $v$, find they significantly increase values $v$. This could have important...

We compute fragmentation corrections to hadroproduction of the quarkonium states $J/\psi$, $\chi_{cJ}$, and $\psi(2S)$ at leading power in $m_c^2/p_T^2$, where $m_c$ is charm-quark mass $p_T$ transverse momentum. The computation carried out framework nonrelativistic QCD. include parton-production cross sections through next-to-leading order strong coupling $\alpha_s$ functions second $\alpha_s$. also sum logarithms $p_T^2/m_c^2$ all orders perturbation theory. find that, when we combine...

We improve the theoretical predictions for decays of Higgs boson to an $S$-wave vector quarkonium plus a photon by calculating relativistic correction order $v^2$, where $v$ is heavy-quark velocity in rest frame. Our numerical results are given $J/\psi$ and $\Upsilon(nS)$ channels, with $n=1,2,3$. The include previously calculated $\alpha_s$ summations, all orders $\alpha_s$, leading logarithms $m_H^2/m_Q^2$, $m_H$ Higgs-boson mass $m_Q$ mass. These QCD corrections apply contribution part...

A bstract Under some assumptions on the hierarchy of relevant energy scales, we compute nonrelativistic QCD (NRQCD) long-distance matrix elements (LDMEs) for inclusive production J/ψ , ψ (2 S ), and Υ states based potential NRQCD (pNRQCD) effective field theory. Based pNRQCD formalism, obtain expressions LDMEs in terms quarkonium wavefunctions at origin universal gluonic correlators, which do not depend heavy quark flavor or radial excitation. This greatly reduces number nonperturbative...

We resum threshold double logarithms in inclusive production of heavy quarkonium that arise from singularities near the boundary phase space. This resolves catastrophic failure conventional approach based on fixed-order perturbation theory calculations nonrelativistic QCD, where cross sections at large transverse momentum can turn negative. identify root cause this negative section problem as appearance radiative corrections, and them to all orders leading logarithmic level. find resummation...

We resum threshold double logarithms that appear in inclusive production of heavy quarkonium. This resolves the catastrophic failure fixed-order perturbation theory where quarkonium cross sections at large transverse momentum can turn negative due to radiative corrections. find resummation is imperative for describing measured prompt rates J/ψ momentum.

We determine the leading-order nonrelativistic quantum chromodynamics (NRQCD) matrix element 〈O1〉ϒ and ratio 〈q2〉ϒ, for ϒ=ϒ(nS) with n=1, 2, 3 by comparing measured values Γ[ϒ→e+e−] NRQCD factorization formula in which relativistic corrections are resummed to all orders heavy-quark velocity v. The is of order-v2 〈O1〉ϒ, new. They can be used predictions involving ϒ(nS) ηb(nS) corrections. As an application, we predict two-photon decay rates spin-singlet states: Γ[ηb(1S)→γγ]=0.512−0.094+0.096...

We compute the color-singlet and color-octet nonrelativistic QCD (NRQCD) long-distance matrix elements for inclusive production of $P$-wave quarkonia in framework potential NRQCD. In this way, NRQCD element can be determined without relying on measured cross section data, which has not been possible so far. obtain sections $χ_{cJ}$ $χ_{bJ}$ at LHC, are good agreement with data. principle, formalism developed Letter applied to all processes heavy quarkonia.

A bstract We develop a formalism for computing inclusive production cross sections of heavy quarkonia based on the nonrelativistic QCD and potential effective field theories. Our applies to strongly coupled quarkonia, which include excited charmonium bottomonium states. Analogously quarkonium decay processes, we express long-distance matrix elements in terms wavefunctions at origin universal gluonic correlators. expressions are valid up corrections order $$ 1/{N}_c^2 <mml:math...

Based on the potential nonrelativistic QCD formalism, we compute long-distance matrix elements (LDMEs) for inclusive production of $S$-wave heavy quarkonia. This greatly reduces number nonperturbative unknowns and brings in a substantial enhancement predictive power factorization formalism. We obtain improved determinations LDMEs find cross sections polarizations $J/\psi$, $\psi(2S)$, excited $\Upsilon$ states that agree well with LHC data. Our results may have important implications pinning...

We compute the decay rates for processes $Z\to V+\gamma$, where $Z$ is boson, $\gamma$ photon, and $V$ one of vector quarkonia $J/\psi$ or $\Upsilon(nS)$, with $n=1$, $2$, $3$. Our computations include corrections through relative orders $\alpha_s$ $v^2$ resummations logarithms $m_Z^2/m_Q^2$, to all in $\alpha_s$, at NLL accuracy. ($v$ velocity heavy quark $Q$ antiquark $\bar{Q}$ quarkonium rest frame, $m_Z$ $m_Q$ are masses $Q$, respectively.) calculations first both order-$\alpha_s$...

We present a calculation of the rates for Higgs-boson decays to vector heavy-quarkonium state plus photon, where heavy quarkonium states are J/psi and Upsilon(nS) states, with n=1, 2, or 3. The is carried out in light-cone formalism, combined nonrelativistic QCD factorization, accurate at leading order m_Q^2/m_H^2, m_Q heavy-quark mass m_H mass. contains corrections through next-to-leading strong-coupling constant alpha_s square velocity v, includes resummation logarithms m_H^2/m_Q^2...

A bstract We present new results on F eyn O nium , an ongoing project to develop a general purpose software toolkit for semi-automatic symbolic calculations in nonrelativistic Effective Field Theories (EFTs). Building upon C alc existing M athematica package evaluation of Feynman diagrams, we have created powerful framework automatizing EFTs (NREFTs) at tree- and 1-loop level. This is achieved by exploiting the novel features that support manipulations Cartesian tensors, Pauli matrices...

We compute the cross section for exclusive production of a photon associated with heavy quarkonium $H$ charge-conjugation parity $C=+1$ from ${e}^{+}{e}^{\ensuremath{-}}$ annihilation into virtual at center-of-momentum energy $\sqrt{s}=10.58\text{ }\text{ }\mathrm{GeV}$. The nonrelativistic QCD factorization formulas differential and total sections are obtained leading order in strong coupling relative velocity quark rest frame. predicted $S$-wave spin-singlet cases about 80 fb 50...

We compute fragmentation functions for a quark to fragment quarkonium through an $S$-wave spin-triplet heavy quark-antiquark pair. consider both color-singlet and color-octet ($Q\bar Q$) pairs. give results the case in which fragmenting that is constituent of have different flavors these quarks same flavors. Our sum over all spin polarizations $Q\bar Q$ pairs confirm previous results. longitudinally polarized agree with calculations flavor cases correct error calculation different-flavor case.

We compute $S$-wave quarkonium wavefunctions at the origin in $\overline{\rm MS}$ scheme based on nonrelativistic effective field theories. include effects of nonperturbative long-distance behaviors potentials, while we determine short-distance potentials perturbative QCD. obtain MS}$-renormalized that have correct scale dependences are expected from QCD, so cancel physical quantities. Based calculation origin, make model-independent predictions decay constants and electromagnetic rates...

The process $H\ensuremath{\rightarrow}J/\ensuremath{\psi}+\ensuremath{\gamma}$, where $H$ is the Higgs particle, provides a way to probe size and sign of Higgs-charm coupling. In order improve theoretical control decay rate, we compute ${v}^{4}$ corrections rate based on nonrelativistic QCD factorization formalism. perturbative calculation carried out by using automated computer codes. We also resum logarithms ratio masses boson $J/\ensuremath{\psi}$ all orders in strong coupling constant...

A bstract We compute the QCD static force and potential using gradient flow at next-to-leading order in strong coupling. The is spatial derivative of potential: it encodes interaction both short long distances. While on one side has advantage being free O (Λ ) renormalon affecting when computed perturbation theory, other its direct lattice computation suffers from poor convergence. convergence can be improved by flow, where gauge fields operator definition a given quantity are replaced...

The ${f}_{\ensuremath{\varrho}}/{m}_{\ensuremath{\varrho}}$ ratio is calculated at ${\mathrm{N}}^{3}\mathrm{LO}$ order within perturbative (p)non-relativistic quantum chromodynamics (NRQCD) with ${N}_{f}$ flavors of mass degenerate fermions. massless limit the expanded \'a la Banks-Zaks in $ϵ=16.5\ensuremath{-}{N}_{f}$ leading to reliable predictions close upper end conformal window. comparison next-to-next-to (NNLO) and results indicate that expansion may be down twelve flavors. Previous...

We compute in order ${\ensuremath{\alpha}}_{s}$ the nonrelativistic QCD (NRQCD) short-distance coefficients that match quark-antiquark operators of all orders heavy-quark velocity $v$ to electromagnetic current. employ a new method one-loop NRQCD contribution matching condition. The uses full-QCD expressions as starting point obtain contribution, thus greatly streamlining calculation. Our results show that, under mild constraint on operator matrix elements, expansion for...

Within the framework of nonrelativistic QCD (NRQCD) factorization approach, we compute polarization prompt J/psi produced at Brookhaven's Relativistic Heavy-Ion Collider from proton-proton collisions center-of-momentum energy sqrt{s}=200 GeV. The perturbative contributions are computed leading order in strong coupling constant. prediction reveals that color-singlet contribution severely underestimates PHENIX preliminary data for differential cross section integrated over rapidity range...

A bstract We consider the exclusive pseudoscalar heavy-quarkonium ( η b , c ) production in association with a photon at future lepton colliders where collider energies of O (10 2 GeV are far greater than quarkonium mass. At these energies, logarithm mass to collision energy becomes increasingly large hence its resummation particularly important. By making use light-cone-distribution factorization formula, we resum logarithms up next-to-leading-logarithmic accuracy (NLL) that corresponds...

We improve the pNRQCD approach to annihilation processes of heavy quarkonium and make first predictions for exclusive electromagnetic production quarkonium. consider strongly coupled quarkonia, i.e., quarkonia that are not Coulombic bound states. Possible include excited charmonium bottomonium For these, provides expressions decay NRQCD matrix elements depend on wavefunctions at origin few universal gluon field correlators. compute widths cross sections, inclusive into light hadrons P -wave...