Analytic forms for the $e^{+}{e}^{-}$ annihilation cross sections around a resonance including initial state radiation

Abstract

The exact analytic form of cross sections including initial state radiation with Kuraev-Fadin radiative function are obtained for $e^{+}{e}^{-}$ annihilation around a resonance. Despite accounting for vacuum polarization and center-of-mass energy spread effects, the precision remains below 0.1\%, meeting the accuracy requirements of quantum electrodynamics corrections up to $\mathcal{O}({\alpha }^2)$. The analytic forms lead to an enhancement in the precision of experimental measurements of physical parameters, such as branching fractions, and demonstrate significantly improved computational efficiency in the regression procedures.

23 pages, 6 figures

References in corpus (20)

• Heavy quarkonium: progress, puzzles, and opportunities
• The Belle II Physics Book
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
• Number of $J/\psi$ events at BESIII
• Exclusive event generator for $e^{+}{e}^{-}$ scan experiments
• Monte-Carlo generator for e+e- annihilation into lepton and hadron pairs with precise radiative corrections
• Determination of the number of $\psi (3686)$ events taken at BESIII
• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
• On the QED Radiator at Order ${\alpha }^3$
• Measurement of main parameters of the ψ(2S) resonance
• A cornucopia of antineutrons and hyperons from super J/psi factory for next-generation nuclear and particle physics high-precision experiments
• The interference between virtual photon and 1-- charmonium in e+e-experiment
• The $O({\alpha }^2)$ Initial State QED Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z_0^{\ast }$
• Measurement of the exclusive light hadron decays of the psi'' in e+e- experiments
• Measurement of the phase between strong and electromagnetic amplitudes of $J/\psi$ decays
• Impact of the interference between the resonance and continuum amplitudes on vector quarkonia decay branching fraction measurements
• Derived Born cross sections of $e^{+}{e}^{-}$ annihilation into open charm mesons from CLEO-c measurements
• Analytical Forms for Cross Sections of Di-lepton Production from $e^{+}{e}^{-}$ Collisions around the $J/\psi$ Resonance