Abstract
Abstract An analytical formula of the production cross section for e + e − annihilates to hadrons around a narrow resonance, particularly in the τ−charm region, taking into account the initial state radiation is reported in the paper. Despite some approximation in the derivation, the comparison between the analytical formula and the direct integration of ISR demonstrates good accuracy, indicating that the analytical formula meets current experimental requirements. Additionally, the paper presents a comparison of the cross section between the analytical formula and the calculation using ConExc Monte Carlo generator. The efficiency of the analytical formula in significantly
reducing computing time makes it a good choice for the regression procedure to extract the parameters of narrow charmonium resonances in experiments.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.
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