Factorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}

Abstract

In nonrelativistic QCD (NRQCD), we study $e^{+}{e}^{-}\to J/\psi (\psi (2S))+{\chi }_{c0}$ at $B$ factories, where the P-wave state ${\chi }_{c0}$ is associated with an S-wave state $J/\psi$ or $\psi (2S)$. In contrast to the failure of factorization in most cases involving P-wave states, e.g. in B decays, we find that factorization holds in this process at next to leading order (NLO) in ${\alpha }_s$ and leading order (LO) in $v$, where the associated S-wave state plays a crucial rule in canceling the infrared (IR) divergences. We also give some general analyses for factorization in various double charmonium production. The NLO corrections in $e^{+}{e}^{-}\to J/\psi (\psi (2S))+{\chi }_{c0}$ at $\sqrt{s}=10.6$ GeV are found to substantially enhance the cross sections by a factor of about 2.8; hence crucially reduce the large discrepancy between theory and experiment. With $m_c=1.5\mathrm{GeV}$ and $\mu =2m_c$, the NLO cross sections are estimated to be $17.9(11.3)$ fb for $e^{+}{e}^{-}\to J/\psi (\psi (2S))+{\chi }_{c0}$, which reach the lower bounds of experiment.

Version published in PRD, implications from eq.(5) on factorization are emphasized, references are added

References in corpus (49)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Observation of Double cc bar Production in e+ e- Annihilation at sqrt{s} ~ 10.6 GeV
• QCD corrections to J/psi and Upsilon production at hadron colliders
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into a Virtual Photon
• Measurement of Double Charmonium Production in $e^{+}{e}^{-}$ Annihilations at $\sqrt{s}=10.6$ GeV
• Next-to-Leading Order QCD Correction to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi }+{\mathbf{\eta }}_{\mathbf{c}}$ at $\sqrt{s}=10.6$GeV}
• QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHC
• Problems of Double Charm Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• Is the BELLE result for the cross section e+e- -> J/psi+eta_c a real difficulty for QCD ?
• Study of double charmonium production in e^+ e^- annihilation at \sqrt{s} ~ 10.6 GeV
• Separation of soft and collinear singularities from one-loop N-point integrals
• Hadroproduction of J/psi and Upsilon in association with a heavy-quark pair
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• Exclusive J/ψProductions at e^+ e^- Colliders
• QCD corrections to J/psi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV
• Double charm production e^+ e^- \to J/ψ+ c \bar{c} at B factories with next-to-leading order QCD corrections
• Double charmed baryon production at B-factory
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Prompt J/psi production at e^+e^- colliders
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• Color-Singlet ${\psi }_Q$ Production at $e^{+}{e}^{-}$ Colliders
• $B\to J/\psi K$ Decays in QCD Factorization
• e^+ e^- Annihilation into J/psi + J/psi
• Predictions for $e^{+}{e}^{-}\to J/\psi {\eta }_c$ with Light-Cone Wave-Functions
• Excited charmonium mesons production in e^+e^- annihilation at \sqrt{s}=10.6 GeV
• Hadronic charmless B decays B-> AP
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into Two Virtual Photons
• Hunting for glueballs in electron-positron annihilation
• Search for excited charmonium states in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• Color Transfer in Associated Heavy-Quarkonium Production
• $B\to f_0(980)K$ Decays and Subleading Corrections
• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
• Inclusive Charmonium Production via Double $c\bar{c}$ in $e^{+}{e}^{-}$ Annihilation
• Determination of color-octet matrix elements from e^+e- process at low energies
• Problems of QCD factorization in exclusive decays of B meson to charmonium
• The processes $e^{+}{e}^{-}\to J/\Psi {\chi }_{c0},\Psi (2S){\chi }_{c0}$ at $\sqrt{s}=10.6$GeV in the framework of light cone formalism
• Perturbative QCD analysis of exclusive J/ψ+η_c production in e^+e^- annihilation
• Production of $J/\psi +c\bar{c}$ through two photons in $e^{+}{e}^{-}$ annihilation
• Infrared divergences of $B$ meson exclusive decays to P-wave charmonia in QCD factorization and nonrelativistic QCD
• Spontaneous breaking of the lepton number and invisible majoron in a 3-3-1 model
• B ->η_c K(η_c^\prime K) decays in QCD factorization
• Color Transfer Enhancement for Heavy Quarkonium Production
• The process $\epem\to J/ ψX(3940)$ at $\sqrt{s}=10.6$ GeV in the framework of light cone formalism

Cited by in corpus (45)

• Higher Charmonia and X,Y,Z states with Screened Potential
• QCD corrections to J/psi production via color octet states at Tevatron and LHC
• QCD radiative correction to color-octet $J/\psi$ inclusive production at B Factories
• QCD corrections to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi gg}$ at B Factories
• Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B Factories
• QCD corrections to polarization of J/ψand Υat Fermilab Tevatron and CERN LHC
• Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γproduction at the LHC
• Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
• Testing Charmonium Production Mechanism via Polarized $J/\psi$ Pair Production at the LHC
• Pair Production of Heavy Quarkonium and $B_c{(}^{\ast })$ Mesons at Hadron Colliders
• QCD corrections to Upsilon production via color-octet states at the Tevatron and LHC
• J/ψpolarization in photo-production up-to the next-to-leading order of QCD
• Relativistic Correction to J/psi and Upsilon Pair Production
• QCD corrections to $J/\psi$ production in association with a $W$-boson at the LHC
• Factorization in exclusive quarkonium production
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Relativistic Correction to J/ψProduction at Hadron Colliders
• QCD corrections to e^+ e^- to J/ψ(ψ(2S))+χ_{cJ} (J=0,1,2) at B Factories
• Relativistic corrections to double charmonium production in high energy proton-proton interaction
• QCD corrections to $J/\psi$ plus $Z^0$-boson production at the LHC
• Relativistic effects in the double S- and P-wave charmonium production in e^+e^- annihilation
• Double charmonium production at B-factories within light cone formalism
• Double charmonium production in exclusive bottomonia decays
• Pair double heavy diquark production in high energy proton-proton collisions
• Decay eta_b->J/ψJ/ψin light cone formalism
• Relativistic corrections to the pair double heavy diquark production in e^+e^- annihilation
• $J/\psi +{\chi }_{cJ}$ Production at the $B$ Factories under the Principle of Maximum Conformality
• The next-to-leading-order QCD correction to inclusive J/ψ(Υ) production in Z^0 decay
• Relativistic corrections to the pair $B_c$-meson production in $e^{+}{e}^{-}$ annihilation
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC
• Exclusive double $B_c$ meson production from $e^{+}{e}^{-}$ annihilation into two virtual photons
• ${\rm Y}$ decay to two-charm quark jets as a Probe of the Color Octet Mechanism
• Further studies on the exclusive productions of $J/\psi +{\chi }_{cJ}$ ($J=0,1,2$) via $e^{+}{e}^{-}$ annihilation at the $B$ factories
• Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon
• Next-to-leading-order study of $J/\psi$ angular distributions in $e^{+}{e}^{-}\to J/\psi +{\eta }_c,{\chi }_{cJ}$ at $\sqrt{s}\approx 10.6$ GeV
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• DJpsiFDC: an event generator for the process $gg\to J/\psi J/\psi$ at LHC
• Photoproduction of the double $J/\psi$ (${\rm Y}$) at the LHC with forward proton tagging
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• Understanding the $e^{+}{e}^{-}\to D^{(\ast )+}{D}^{(\ast )-}$ processes observed by Belle
• Heavy quarkonium decay $V\to ggg$ with both relativistic and QCD radiative corrections
• The QED contribution to $J/\psi$ plus light hadrons production at B-factories
• $X(3860)$ production in association with $J/\psi$ via $e^{+}{e}^{-}$ annihilation at Belle