In:
Chinese Physics C, IOP Publishing
Abstract:
This study examines the properties of heavy quarkonia $X$ by treating them as bound states of $Q$ and $\bar{Q}$ at the LO level within the NRQCD framework, where $Q$ represents either a charm or a bottom quark. The branching ratios for the radiative leptonic decays $X\rightarrow \gamma l^{+} l^{-}$ are revisited and the angular and energy/momentum distributions of the final state particles are analyzed in the rest frame of $X$. Furthermore, we apply Lorentz transformations from the rest frame of $X$ to the center-of-mass frame of $l^+ l^-$ to establish the connection between the widths ${\Gamma_{X \rightarrow \gamma l^{+} l^{-}}}$ and ${\Gamma_{X \rightarrow l^{+} l^{-}}}$. When comparing the connection with those documented in the literature (divided by $2\pi$) for various $X$ states, such as $J/\Psi$, $\Psi(2S)$, $\Upsilon(1S)$, and $\Upsilon(2S)$, relative differences typically around or below 10\% can be found, which is comparable to the NLO corrections of $O(\alpha)$ and $O(v^4)$. However, we observe a significant disparity in the ratio between ${\Gamma_{\Psi(2S) \to \gamma \tau^+ \tau^-}}$ and ${\Gamma_{\Psi(2S) \to \tau^+ \tau^-}}$, with our prediction being four times larger than those in the literature. The outcomes derived from this study held practical implications in describing the QED radiative processes and contribute to the investigation of QCD processes associated with the decays of heavy quarkonia and the searches for new physics.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. & #xD;
Type of Medium:
Online Resource
ISSN:
1674-1137
,
2058-6132
DOI:
10.1088/1674-1137/ad6552
Language:
Unknown
Publisher:
IOP Publishing
Publication Date:
2024
detail.hit.zdb_id:
2491278-5
detail.hit.zdb_id:
2453499-7
