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$Υ$-meson pair production at LHC

A. V. Berezhnoy, A. K. Likhoded, A. A. Novoselov

TL;DR

The paper investigates the production of Υ-meson pairs in proton-proton collisions at √s = 8 TeV, focusing on the relative contributions of single-parton scattering (SPS) and double-parton scattering (DPS) within a leading-order color-singlet QCD framework. It uses the δ-approximation with Υ wavefunctions at the origin and explores two bottom-quark mass choices, including feed-down from higher Υ states, to compute cross sections for all pair combinations under LHCb and ATLAS kinematics. The results indicate that DPS is negligible (about 10% or less) compared to SPS, with cross sections for Υ(1S)Υ(1S) on the order of tens of picobarns and varying for other combinations; the invariant-mass and pT distributions are discussed, including scale uncertainties. Additionally, the authors explore the possibility of a bound 4b tetraquark decaying to Υ μ^+ μ^− with predicted masses around 18.75–18.92 GeV, though no production cross sections are provided. Overall, the work proposes Υ-pair production as a stringent test of perturbative QCD and outlines experimental prospects for LHCb and ATLAS, including potential searches for exotic heavy tetraquark states.

Abstract

Theoretical predictions for $pp\to 2 Υ+X$ cross section at $\sqrt{s}=8$ TeV for the LHCb and ATLAS kinematical conditions are obtained. A possibility to observe the new hypothetical particles containing two valence $b$-quarks and two valence $\bar{b}$-quarks is discussed.

$Υ$-meson pair production at LHC

TL;DR

The paper investigates the production of Υ-meson pairs in proton-proton collisions at √s = 8 TeV, focusing on the relative contributions of single-parton scattering (SPS) and double-parton scattering (DPS) within a leading-order color-singlet QCD framework. It uses the δ-approximation with Υ wavefunctions at the origin and explores two bottom-quark mass choices, including feed-down from higher Υ states, to compute cross sections for all pair combinations under LHCb and ATLAS kinematics. The results indicate that DPS is negligible (about 10% or less) compared to SPS, with cross sections for Υ(1S)Υ(1S) on the order of tens of picobarns and varying for other combinations; the invariant-mass and pT distributions are discussed, including scale uncertainties. Additionally, the authors explore the possibility of a bound 4b tetraquark decaying to Υ μ^+ μ^− with predicted masses around 18.75–18.92 GeV, though no production cross sections are provided. Overall, the work proposes Υ-pair production as a stringent test of perturbative QCD and outlines experimental prospects for LHCb and ATLAS, including potential searches for exotic heavy tetraquark states.

Abstract

Theoretical predictions for cross section at TeV for the LHCb and ATLAS kinematical conditions are obtained. A possibility to observe the new hypothetical particles containing two valence -quarks and two valence -quarks is discussed.

Paper Structure

This paper contains 4 sections, 3 equations, 5 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Double $\Upsilon$ production
  3. The possibility of observation of the $4b$-tetraquark at LHCb
  4. Conclusions

Figures (5)

  • Figure 1: The distributions over the invariant mass of $\Upsilon$-meson pairs. A half of the meson mass is used for the $m_b$ in the left plot and fixed value of $m_b=4.73~\mathrm{GeV}$ is used in the right. From left to right curves correspond to the $\Upsilon(1S)\Upsilon(1S)$, $\Upsilon(1S)\Upsilon(2S)$, $\Upsilon(1S)\Upsilon(3S)$, $\Upsilon(2S)\Upsilon(2S)$, $\Upsilon(2S)\Upsilon(3S)$ and $\Upsilon(3S)\Upsilon(3S)$ production.
  • Figure 2: The rapidity distribution of the $\Upsilon$-pair in the $\Upsilon$-pair production process with the LHCb rapidity cut.
  • Figure 3: Distribution over the rapidity of single $\Upsilon$ in the $\Upsilon$-pair production process at ATLAS.
  • Figure 4: The $p_T$ distributions of the single $\Upsilon$ in the $\Upsilon(1S)\Upsilon(1S)$ production process at LHC depending on the scale choice.
  • Figure 5: Distribution over the $p_T$ of the $\Upsilon$-pair in the $\Upsilon(1S)\Upsilon(1S)$ production process at LHC depending on the scale choice.