A study of $c c\bar{c}\bar{c}$ tetraquark decays in 4 muons and in $D^{(*)} \bar{D}^{(*)}$ at LHC

TL;DR

This paper provides a detailed analysis of fully-charmed tetraquark decays into four muons and charm mesons, estimating decay widths and cross sections to guide experimental detection at LHCb.

Contribution

It introduces the first estimates of decay widths and cross sections for $ccar car c$ tetraquarks into specific final states, aiding future experimental searches.

Findings

Cross section upper limit for 4 muons channel: ~40 fb.

Cross section upper limit for $D^{(*)} ar D^{(*)}$ channel: ~28 nb.

LHCb can potentially detect signals for both $0^{++}$ and $2^{++}$ tetraquarks.

Abstract

We perform a quantitative analysis of the decays of $cc\bar c\bar c$ tetraquarks with $J^{PC}=0^{++}, 2^{++}$ into 4 muons and into hidden- and open-charm mesons and estimate, for the first time, the fully charmed tetraquark decay width. The calculated cross section upper limit is $\sim 40$ fb for the 4 muons channel, and $\sim 28$ nb for the $D^{(*)} \bar D^{(*)} \to e\mu$ channel. On the basis of our results, with the present sensitivity LHCb should detect both signals, for $0^{++}$ and $2^{++}$ fully-charmed tetraquarks.