Systematic study of bottomonium production in proton-proton collisions at LHC energies
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arXiv
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| Format: | Preprint |
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2026
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| author | Paul, Biswarup |
| author_facet | Paul, Biswarup |
| contents | We present a comprehensive study of $Υ(nS)$ ($n$ = 1, 2, 3) production in proton-proton ($pp$) collisions at various LHC energies and rapidity ranges within the framework of leading order non-relativistic quantum chromodynamics (NRQCD) factorization. The transverse momentum ($p_{\rm T}$)-dependent production cross-sections are calculated, incorporating both direct and feed-down contributions. Specifically, feed-down from $Υ(2S)$, $Υ(3S)$, $χ_{bJ}(1P)$, and $χ_{bJ}(2P)$ states to $Υ(1S)$ is included, while $Υ(2S)$ receives contributions from $Υ(3S)$ and $χ_{bJ}(2P)$. No significant feed-down is considered for $Υ(3S)$. The computed cross-sections and cross-section ratios among different $Υ$ states are compared with experimental measurements from ALICE, ATLAS, CMS and LHCb. It is found that the experimental cross-sections and cross-section ratios are well described within the theoretical uncertainties arising due to the choices of the factorization and renormalization scales for $p_{\rm T}$ $>$ 4 GeV and $p_{\rm T}$ $>$ 0 GeV, respectively. Furthermore, the cross-section ratios exhibit a clear saturation behavior beyond $p_{\rm T}$ $\approx$ 40 GeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16019 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Systematic study of bottomonium production in proton-proton collisions at LHC energies Paul, Biswarup High Energy Physics - Phenomenology Nuclear Experiment We present a comprehensive study of $Υ(nS)$ ($n$ = 1, 2, 3) production in proton-proton ($pp$) collisions at various LHC energies and rapidity ranges within the framework of leading order non-relativistic quantum chromodynamics (NRQCD) factorization. The transverse momentum ($p_{\rm T}$)-dependent production cross-sections are calculated, incorporating both direct and feed-down contributions. Specifically, feed-down from $Υ(2S)$, $Υ(3S)$, $χ_{bJ}(1P)$, and $χ_{bJ}(2P)$ states to $Υ(1S)$ is included, while $Υ(2S)$ receives contributions from $Υ(3S)$ and $χ_{bJ}(2P)$. No significant feed-down is considered for $Υ(3S)$. The computed cross-sections and cross-section ratios among different $Υ$ states are compared with experimental measurements from ALICE, ATLAS, CMS and LHCb. It is found that the experimental cross-sections and cross-section ratios are well described within the theoretical uncertainties arising due to the choices of the factorization and renormalization scales for $p_{\rm T}$ $>$ 4 GeV and $p_{\rm T}$ $>$ 0 GeV, respectively. Furthermore, the cross-section ratios exhibit a clear saturation behavior beyond $p_{\rm T}$ $\approx$ 40 GeV. |
| title | Systematic study of bottomonium production in proton-proton collisions at LHC energies |
| topic | High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2604.16019 |