Inclusive $h_c$ production and energy spectrum from $e^{+}{e}^{-}$ annihilation at Super $B$ factory

Abstract

We calculate the next-to-leading order (NLO) radiative correction to the color-octet $h_c$ inclusive production in $e^{+}{e}^{-}$ annihilation at Super $B$ factory, within the nonrelativistic QCD factorization framework. The analytic expression for the NLO short-distance coefficient (SDC) accompanying the color-octet production operator ${\mathcal{O}}_8^{h_c}{(}^1{S}_0)$ is obtained after summing both virtual and real corrections. The size of NLO correction for the color-octet production channel is found to be positive and substantial. The NLO prediction to the $h_c$ energy spectrum is plagued with unphysical endpoint singularity. With the aid of the soft-collinear effective theory, those large endpoint logarithms are resummed to the next-to-leading logarithmic (NLL) accuracy. Consequently, further supplemented with the non-perturbative shape function, we obtain the well-behaved predictions for the $h_c$ energy spectrum in the entire kinematic range, which awaits the examination by the forthcoming Belle II experiment.

19 pages, 1 table, 5 figures, version accepted for publication at PRD

References in corpus (13)

• Heavy quarkonium: progress, puzzles, and opportunities
• New Developments in FeynCalc 9.0
• FIRE5: a C++ implementation of Feynman Integral REduction
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Evidence of Two Resonant Structures in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{h}_c$
• QCD radiative corrections to ${\chi }_{cJ}$ production at hadron colliders
• $Apart: A Generalized Mathematica Apart Function
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Factorized power expansion for high-$p_T$ heavy quarkonium production
• Factorization in exclusive quarkonium production
• h_c Production at Hadron Colliders
• Detecting h_c(^1P_1) at the LHC

Cited by in corpus (6)

• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Fragmentation function of $g\to Q\bar{Q}{(}^3{S}_1^{[8]})$ in soft gluon factorization and threshold resummation
• Probing the charm-Higgs Yukawa coupling via Higgs boson decay to $h_c$ plus a photon
• Power expansion for heavy quarkonium production at next-to-leading order in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ annihilation
• Gluon fragmentation into ${}^3{P}_J^{[1,8]}$ quark pair and test of NRQCD factorization at two-loop level