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<p>We develop the formalism for production of a fully heavy tetraquark and apply it to the calculation of <i>pp</i> → <i>T</i><sub>4<i>c</i></sub> + <i>X</i> cross-sections. We demonstrate that the production cross-section of a fully heavy tetraquark, even if it is a diquark-antidiquark cluster, can be obtained in the meson-like basis, for which the spin-color projection technique is well established. Prompted by the recent LHCb, ATLAS and CMS data, we perform a pQCD calculation of <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{O} \)</EquationSource> </InlineEquation>(<InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>α</mi> <mi>s</mi> <mn>5</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\alpha}_s^5 \)</EquationSource> </InlineEquation>) short-distance factors in the dominant channel of gluon fusion, and match these to the four-body <i>T</i><sub>4<i>c</i></sub> wave functions in order to obtain the unpolarized <i>T</i><sub>4<i>c</i></sub>(0<sup>++</sup><i>,</i> 1<sup>+<i>−</i></sup><i>,</i> 2<sup>++</sup>) cross-sections. The novelty in comparison with the recently published article [<CitationRef CitationID="CR1">1</CitationRef>] lies in the fact that we predict the absolute values as well as the <i>dσ/dp</i><sub><i>T</i></sub> spectra in the kinematic ranges accessible at the ongoing LHC experiments. From the comparison with the signal yield at LHCb we derive the constraints on the Φ · Br(<i>J/ψ J/ψ</i>) (reduced wave function times branching) product for the <i>T</i><sub>4<i>c</i></sub> candidates for <i>X</i>(6900) and observe that <i>X</i>(6900) is compatible with a 2<sup>++</sup>(2<i>S</i>) state.</p>

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Fully charmed tetraquark production at the LHC experiments

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  • 发表日期：

    2025年1月20日

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  • Ilia Belov,
  • Alessandro Giachino,
  • Elena Santopinto

摘要

We develop the formalism for production of a fully heavy tetraquark and apply it to the calculation of pp → T4c + X cross-sections. We demonstrate that the production cross-section of a fully heavy tetraquark, even if it is a diquark-antidiquark cluster, can be obtained in the meson-like basis, for which the spin-color projection technique is well established. Prompted by the recent LHCb, ATLAS and CMS data, we perform a pQCD calculation of O \( \mathcal{O} \) ( α s 5 \( {\alpha}_s^5 \) ) short-distance factors in the dominant channel of gluon fusion, and match these to the four-body T4c wave functions in order to obtain the unpolarized T4c(0++, 1+−, 2++) cross-sections. The novelty in comparison with the recently published article [1] lies in the fact that we predict the absolute values as well as the dσ/dpT spectra in the kinematic ranges accessible at the ongoing LHC experiments. From the comparison with the signal yield at LHCb we derive the constraints on the Φ · Br(J/ψ J/ψ) (reduced wave function times branching) product for the T4c candidates for X(6900) and observe that X(6900) is compatible with a 2++(2S) state.