CMS-PAS-BPH-22-004 | ||
Observation of X(6900) and evidence for X(7100) in the $ \mathrm{J}/\psi\ \psi(2S) \rightarrow \mu^{+} \mu^{-} \mu^{+} \mu^{-} $ mass spectrumin 314 fb$ ^{-1} $ of pp collisions at CMS | ||
CMS Collaboration | ||
7 April 2025 | ||
Abstract: A search is performed for structures near threshold in the $ \mathrm{J}/\psi\, \psi(2S) \rightarrow \mu^{+} \mu^{-} \mu^{+} \mu^{-} $ channel using a sample of proton-proton collisions at $ \sqrt{s} = $ 13.0 TeV and 13.6 TeV recorded by the CMS detector at the CERN LHC. The data correspond to an integrated luminosity of about 314 fb$ ^{-1} $. A threshold structure is observed near 6900 MeV with a significance in excess of five standard deviations ($ > $5$ \sigma $), and there is also evidence (4.0$ \sigma $) for a second peak, in a model where the structures mutually interfere. The mass and width of the two peaks are measured to be 6876 $ ^{+46\,+110}_{-29\,-110} $, 253 $ ^{+290\,+120}_{-100\,-120} $ MeV and 7169 $ ^{+26\,+74}_{-52\,-70} $, 154 $ ^{+110\,+140}_{-82\,-160} $ MeV, which are consistent to within one standard deviation of the X(6900) and X(7100) structures previously observed in the $ \mathrm{J}/\psi\, \mathrm{J}/\psi $ spectrum. | ||
Links: CDS record (PDF) ; CADI line (restricted) ; |
Figures | |
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Figure 1:
The $ \mathrm{J}/\psi\, \psi(2S) $ spectrum under 9 GeV (to make structures more visible) for the Run 2 dataset (upper left), the Run 3 dataset (upper right), and the combined Run 2 + Run 3 dataset (bottom). The number of events below 15 GeV for these three datasets are 139, 415, and 554, respectively. |
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Figure 1-a:
The $ \mathrm{J}/\psi\, \psi(2S) $ spectrum under 9 GeV (to make structures more visible) for the Run 2 dataset (upper left), the Run 3 dataset (upper right), and the combined Run 2 + Run 3 dataset (bottom). The number of events below 15 GeV for these three datasets are 139, 415, and 554, respectively. |
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Figure 1-b:
The $ \mathrm{J}/\psi\, \psi(2S) $ spectrum under 9 GeV (to make structures more visible) for the Run 2 dataset (upper left), the Run 3 dataset (upper right), and the combined Run 2 + Run 3 dataset (bottom). The number of events below 15 GeV for these three datasets are 139, 415, and 554, respectively. |
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Figure 1-c:
The $ \mathrm{J}/\psi\, \psi(2S) $ spectrum under 9 GeV (to make structures more visible) for the Run 2 dataset (upper left), the Run 3 dataset (upper right), and the combined Run 2 + Run 3 dataset (bottom). The number of events below 15 GeV for these three datasets are 139, 415, and 554, respectively. |
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Figure 2:
The $ \mathrm{J}/\psi\, \psi(2S) $ spectrum with the $ f_{i23} $ fit of interfering X(6900) and X(7100) components plus backgrounds (fit extends up to 15 GeV). |
Tables | |
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Table 1:
Fit results of the $ \mathrm{J}/\psi\, \psi(2S) $, or $ \mathrm{J}/\psi\mathrm{J}/\psi $, mass spectra. The role of interference, if any, is noted where $ \mathrm{BW}_i $ represents X(6600), X(6900), and X(7100) for $ i=1,2, $ 3. Masses and widths are in MeVns. The top row of numbers is for fit without any constraints from $ \mathrm{J}/\psi\mathrm{J}/\psi $ and that the second row of numbers is the $ \mathrm{J}/\psi\mathrm{J}/\psi $ result for comparison. |
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Table 2:
Dominant contributions to the systematic uncertainties on the X(6900) and X(7100) masses and widths, in MeV, for fit $ f_{i23} $. The "Total" is the sum in quadrature of all components, including unlisted non-dominant contributions. |
Summary |
In summary, using 314 fb$^{-1}$ of collisions recorded in 2016-2018 and 2022-2024, CMS observes an excess in $ \mathrm{J}/\psi\, \psi(2S) $ near threshold well above five standard deviations (5 $ \sigma $), consistent with $ X(6900){\to}\mathrm{J}/\psi\, \psi(2S) $. There is evidence of an $ X(7100){\to}\mathrm{J}/\psi\, \psi(2S) $ signal with 4.0 $ \sigma $ local significance. These excesses are consistent with similar ones observed in the $ \mathrm{J}/\psi\mathrm{J}/\psi $ mass spectrum identified by CMS [1], LHCb [11] and ATLAS [12]. Recently CMS reported an angular analysis of the $ \mathrm{X} {\to} \mathrm{J}/\psi\mathrm{J}/\psi $ decay characteristics and found the $ J^{PC} $ quantum numbers of the $ \mathrm{X} $ family is most likely $ 2^{++} $ [45]. |
References | ||||
1 | CMS Collaboration | New structures in the $ J/\psi J/\psi $ mass spectrum in proton-proton collisions at $ \sqrt{s}=13\text{ }\text{ }\mathrm{TeV} $ | PRL 132 (2024) 111901 | CMS-BPH-21-003 2306.07164 |
2 | CMS Collaboration | Observation of a family of all-charm tetraquark candidates at the lhc | CMS PAS-BPH-24-003, 2025 | CMS-PAS-BPH-24-003 |
3 | R. Zhu | Fully-heavy tetraquark spectra and production at hadron colliders | Nuclear Physics B 966 (2021) 115393 | 2010.09082 |
4 | R. Tiwari, D. P. Rathaud, and A. K. Rai | Spectroscopy of all charm tetraquark states | Indian J Phys 97 (2023) 943 | |
5 | F. Zhu, G. Bauer, and K. Yi | Experimental road to a charming family of tetraquarks and beyond | Chinese Physics Letters 4 (2024) 1 | |
6 | Belle Collaboration | Observation of a narrow charmoniumlike state in exclusive $ B\rightarrow {K}{\pi}^{+}{\pi}^{-}j/\psi $ decays | PRL 9 (2003) 1 | |
7 | BESIII Collaboration | Observation of a charged charmoniumlike structure in $ {e}^{\mathbf{+}}{e}^{\mathbf{-}}\rightarrow{\pi}^{\mathbf{+}}{\pi}^{\mathbf{-}}{J}/\psi $ at $ \sqrt{s}\mathbf{=}4.26\text{ }\text{ }\mathrm{GeV} $ | PRL 110 (2013) 252001 | |
8 | Belle Collaboration | Study of $ {e}^{\mathbf{+}}{e}^{\mathbf{-}}\rightarrow{\pi}^{\mathbf{+}}{\pi}^{\mathbf{-}}{J}/\psi $ and observation of a charged charmoniumlike state at Belle | PRL 110 (2013) 252002 | |
9 | A. Ali, L. Maiani, and A. D. Polosa | Multiquark Hadrons | Cambridge University Press, 2019 | |
10 | H.-X. Chen et al. | An updated review of the new hadron states | Reports on Progress in Physics 86 (2023) 026201 | 2204.02649 |
11 | LHCb Collaboration | Observation of structure in the $ J/\psi $-pair mass spectrum | Sci. Bull. 65 (2020) | 2006.16957 |
12 | ATLAS Collaboration | Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector | PRL 131 (2023) 151902 | |
13 | N. Brambilla et al. | The xyz states: Experimental and theoretical status and perspectives | Physics Reports 873 (2020) 1 | |
14 | M. Nielsen et al. | Supersymmetry in the Double-Heavy Hadronic Spectrum | PRD 98 (2018) 034002 | 1805.11567 |
15 | M. Nielsen and S. J. Brodsky | Hadronic superpartners from a superconformal and supersymmetric algebra | PRD 97 (2018) 114001 | 1802.09652 |
16 | X. Jin, Y. Xue, H. Huang, and J. Ping | Full-heavy tetraquarks in constituent quark models | EPJC 80 (2020) | 2006.13745 |
17 | R. Zhu | Fully-heavy tetraquark spectra and production at hadron colliders | NPB 966 (2021) 115393 | 2010.09082 |
18 | B.-D. Wan and C.-F. Qiao | Gluonic tetracharm configuration of $ X (6900) $ | PLB 817 (2021) 136339 | 2012.00454 |
19 | W.-L. Wu, Y.-K. Chen, L. Meng, and S.-L. Zhu | Benchmark calculations of fully heavy compact and molecular tetraquark states | PRD 10 (2024) 9 | |
20 | X.-K. Dong et al. | Coupled-channel interpretation of the LHCb double-$ {J}/\psi $ spectrum and hints of a new state near the $ {J}/\psi{J}/\psi $ threshold | PRL 12 (2021) 6 | |
21 | F.-K. Guo, X.-H. Liu, and S. Sakai | Threshold cusps and triangle singularities in hadronic reactions | Prog. Part. Nucl. Phys. 112 (2020) 103757 | 1912.07030 |
22 | C. Gong et al. | Nature of X(6900) and its production mechanism at LHCb | Physics Letters B 824 (2022) 136794 | |
23 | J.-Z. Wang, X. Liu, and T. Matsuki | Fully-heavy structures in the invariant mass spectrum of $ J/\psi \psi(3686) $, $ J/\psi \psi(3770) $, $ \psi(3686) \psi(3686) $, and $ J/\psi \Upsilon(1S) $ at hadron colliders | PLB 816 (2021) 136209 | 2012.03281 |
24 | CDF Collaboration | Evidence for a narrow near-threshold structure in the $ {J}/\psi\phi $ mass spectrum in $ {B}^{+}\rightarrow{J}/\psi\phi{K}^{+} $ decays | PRL 102 (2009) 242002 | |
25 | CDF Collaboration | Observation of the $ Y(4140) $ structure in the $ J/\psi\phi $ mass spectrum in $ B^\pm\to J/\psi\phi K^\pm $ decays | Mod. Phys. Lett. A 32 (2017) | 1101.6058 |
26 | CMS Collaboration | The CMS Experiment at the CERN LHC | JINST 3 (2008) S08004 | |
27 | Y. Gao et al. | Spin determination of single-produced resonances at hadron colliders | PRD 8 (2010) 1 | |
28 | S. Bolognesi et al. | Spin and parity of a single-produced resonance at the LHC | PRD 8 (2012) 6 | |
29 | I. Anderson et al. | Constraining anomalous $ HVV $ interactions at proton and lepton colliders | PRD 8 (2014) 9 | |
30 | A. V. Gritsan, R. R\"ontsch, M. Schulze, and M. Xiao | Constraining anomalous higgs boson couplings to the heavy-flavor fermions using matrix element techniques | PRD 9 (2016) 4 | |
31 | A. V. Gritsan et al. | New features in the JHU generator framework: Constraining Higgs boson properties from on-shell and off-shell production | Physical Review D 102 (2020) | |
32 | T. Sjöstrand, S. Mrenna, and P. Skands | A brief introduction to PYTHIA 8.1 | Computer Physics Communications 178 (2008) | |
33 | H. Jung et al. | The CCFM monte carlo generator CASCADE Version 2.2.03 | The European Physical Journal C 70 (2010) | |
34 | H.-S. Shao | Helac-onia: An automatic matrix element generator for heavy quarkonium physics | Computer Physics Communications 184 (2013) | |
35 | J.-P. Lansberg and H.-S. Shao | J/$ \psi $-pair production at large momenta: Indications for double parton scatterings and large $ \alpha_s^5 $ contributions | Physics Letters B 751 (2015) 479 | |
36 | J.-P. Lansberg and H.-S. Shao | Production of $ J/\psi+\eta_c $ versus $ J/\psi+J/\psi $ at the LHC: Importance of real $ \alpha_s^5 $ corrections | Physical Review Letters 111 (2013) | |
37 | H.-S. Shao | Helac-onia 2.0: An upgraded matrix-element and event generator for heavy quarkonium physics | Computer Physics Communications 198 (2016) 238 | |
38 | GEANT4 Collaboration | GEANT4--a simulation toolkit | NIM A 506 (2003) 250 | |
39 | CMS Collaboration | The CMS trigger system | JINST 12 (2017) | CMS-TRG-12-001 1609.02366 |
40 | CMS Collaboration | Performance of CMS muon reconstruction in $ pp $ collision events at $ \sqrt{s}= $ 7 TeV | JINST 7 (2012) P10002 | CMS-MUO-10-004 1206.4071 |
41 | G. Punzi | Sensitivity of searches for new signals and its optimization | physics/0308063 | |
42 | Particle Data Group Collaboration | Review of Particle Physics | Progress of Theoretical and Experimental Physics 202 (2022) 2 | |
43 | C. Q. F. Von Hippel | Centrifugal-Barrier Effects in Resonance Partial Decay Widths, Shapes, and Production Amplitudes | PRD 52 (1972) 624 | |
44 | S. U. Chung | Helicity-coupling amplitudes in tensor formalism | PRD 4 (1993) 8 | |
45 | CMS Collaboration | Spin and symmetry properties of all-charm tetraquarks | CMS PAS-BPH-24-002, 2025 |
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Compact Muon Solenoid LHC, CERN |
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