CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-EXO-24-031
Search for light pseudoscalar a bosons in $ \mathrm{H}\to\mathrm{a}\mathrm{a}\to4\mathrm{e} $ decays in pp collisions at $ \sqrt{s} = $ 13 TeV
Abstract: A search for pairs of light neutral bosons ($ \mathrm{a} $) resulting from the decay of a Higgs boson is performed. The $ \mathrm{a} $ bosons have a mass in the range of 10 to 100 MeV and decay into an electron-positron pair. The search is conducted using proton-proton collision data at $ \sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. Due to the low mass of the $ \mathrm{a} $ bosons their decay products are highly collimated and are merged into single detector objects. A novel multivariate identification technique is developed to identify these distinctive signatures, and events are selected with two such merged electron-positron pairs. No significant excess above the standard model prediction is observed. Upper limits on the branching fraction for $ \mathrm{H}\to\mathrm{a}\mathrm{a}\to4\mathrm{e} $ are set at the 95% confidence level, reaching sensitivities as low as $ \mathcal{O}(10^{-5}) $. The measured limits are further interpreted in an effective axion-like particle and Higgs-coupling model, confirming the LHC's potential as a unique axion-like particle search facility.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Feynman diagram of gluon-gluon fusion, via an intermediate heavy quark loop, producing a Higgs boson which decays to two axion-like particles, each further decaying to electron-positron pairs.

png pdf
Figure 2:
An $ \mathrm{H}\to\mathrm{a}\mathrm{a}\to4\mathrm{e} $ event with two merged electron pairs. In each pair, the two reconstructed GSF tracks, one for each electron, are shown as the yellow lines, while the cyan region on the circle represents the corresponding reconstructed supercluster. The blue and red shapes represent the energy deposit from HCAL and ECAL respectively.

png pdf
Figure 3:
(upper) Invariant mass distribution of four electrons ($ m_{4\mathrm{e}} $) for selected events (points), compared to a fit of the background (red), with one (green) and two (yellow) standard deviation uncertainty bands, and the extracted signal (blue), shown as an example for a Higgs boson decaying to pairs of axion-like particles ($ \mathrm{a} $) with a mass of 20 MeV and a mean proper decay length to electron pairs $ c\tau = 10\,\mu\text{m} $. (lower) The lower panel shows the same data after subtracting the background fit.

png pdf
Figure 4:
As a function of the mass of an axion-like particle ($ \mathrm{a} $), the observed (points) and expected (dashed) upper limits at 95% CL on the Higgs boson branching fraction for Higgs boson decays to a pairs in the four-electron final state, for scenarios with $ \mathrm{a} $ decay lengths of 1$ \,\mu\text{m} $ (upper left), 10$ \,\mu\text{m} $ (upper right), and 100$ \,\mu\text{m} $ (lower left). The one (green) and two (yellow) standard deviation bands are also shown. The observed limits on the branching fraction in the 2d decay length vs. A mass plane is also shown (lower right).

png pdf
Figure 4-a:
As a function of the mass of an axion-like particle ($ \mathrm{a} $), the observed (points) and expected (dashed) upper limits at 95% CL on the Higgs boson branching fraction for Higgs boson decays to a pairs in the four-electron final state, for scenarios with $ \mathrm{a} $ decay lengths of 1$ \,\mu\text{m} $ (upper left), 10$ \,\mu\text{m} $ (upper right), and 100$ \,\mu\text{m} $ (lower left). The one (green) and two (yellow) standard deviation bands are also shown. The observed limits on the branching fraction in the 2d decay length vs. A mass plane is also shown (lower right).

png pdf
Figure 4-b:
As a function of the mass of an axion-like particle ($ \mathrm{a} $), the observed (points) and expected (dashed) upper limits at 95% CL on the Higgs boson branching fraction for Higgs boson decays to a pairs in the four-electron final state, for scenarios with $ \mathrm{a} $ decay lengths of 1$ \,\mu\text{m} $ (upper left), 10$ \,\mu\text{m} $ (upper right), and 100$ \,\mu\text{m} $ (lower left). The one (green) and two (yellow) standard deviation bands are also shown. The observed limits on the branching fraction in the 2d decay length vs. A mass plane is also shown (lower right).

png pdf
Figure 4-c:
As a function of the mass of an axion-like particle ($ \mathrm{a} $), the observed (points) and expected (dashed) upper limits at 95% CL on the Higgs boson branching fraction for Higgs boson decays to a pairs in the four-electron final state, for scenarios with $ \mathrm{a} $ decay lengths of 1$ \,\mu\text{m} $ (upper left), 10$ \,\mu\text{m} $ (upper right), and 100$ \,\mu\text{m} $ (lower left). The one (green) and two (yellow) standard deviation bands are also shown. The observed limits on the branching fraction in the 2d decay length vs. A mass plane is also shown (lower right).

png pdf
Figure 4-d:
As a function of the mass of an axion-like particle ($ \mathrm{a} $), the observed (points) and expected (dashed) upper limits at 95% CL on the Higgs boson branching fraction for Higgs boson decays to a pairs in the four-electron final state, for scenarios with $ \mathrm{a} $ decay lengths of 1$ \,\mu\text{m} $ (upper left), 10$ \,\mu\text{m} $ (upper right), and 100$ \,\mu\text{m} $ (lower left). The one (green) and two (yellow) standard deviation bands are also shown. The observed limits on the branching fraction in the 2d decay length vs. A mass plane is also shown (lower right).

png pdf
Figure 5:
The observed upper limits at 95% CL on the Higgs boson branching fraction for $ \mathrm{H}\to\mathrm{a}\mathrm{a}\to4\mathrm{e} $, as a function of the ALP mass and the ratio of the ALP coupling to electrons and the energy scale of the ALP effective interaction.
Tables

png pdf
Table 1:
Scale factors (SFs) with their statistical uncertainties for different CMS data-taking eras.
Summary
References
1 F. Wilczek Problem of Strong $ P $ and $ T $ Invariance in the Presence of Instantons PRL 40 (1978) 279
2 R. D. Peccei and H. R. Quinn CP Conservation in the Presence of Instantons PRL 38 (1977) 1440
3 N. F. Ramsey The tensor force between two protons at long range Physica A 96 (1979) 285
4 S. Weinberg A New Light Boson? PRL 40 (1978) 223
5 J. E. Moody and F. Wilczek NEW MACROSCOPIC FORCES? PRD 30 (1984) 130
6 M. Jiang et al. Search for axion-like dark matter with spin-based amplifiers Nature Phys. 1 (1900) 7 2102.01448
7 J. E. Kim and G. Carosi Axions and the Strong CP Problem Rev. Mod. Phys. 82 (2010) 557 0807.3125
8 Z. G. Berezhiani and M. Y. Khlopov Cosmology of Spontaneously Broken Gauge Family Symmetry Z. Phys. C 49 (1991) 73
9 J. Jaeckel and A. Ringwald The Low-Energy Frontier of Particle Physics Ann. Rev. Nucl. Part. Sci. 60 (2010) 405 1002.0329
10 P. Langacker The Physics of Heavy $ Z^\prime $ Gauge Bosons Rev. Mod. Phys. 81 (2009) 1199 0801.1345
11 J. Liu, N. McGinnis, C. E. M. Wagner, and X.-P. Wang Challenges for a QCD Axion at the 10 MeV Scale JHEP 05 (2021) 138 2102.10118
12 S. Girmohanta, S. Nakagawa, Y. Nakai, and J. Xu How viable is a QCD axion near 10 MeV? JHEP 10 (2024) 153 2405.13425
13 Muon g-2 Collaboration Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm PRL 131 (2023) 161802 2308.06230
14 A. J. Krasznahorkay et al. Observation of Anomalous Internal Pair Creation in Be8: A Possible Indication of a Light, Neutral Boson PRL 116 (2016) 042501 1504.01527
15 MEG II Collaboration Search for the X17 particle in $ ^{7}\mathrm{Li}(\mathrm{p},\mathrm{e}^+ \mathrm{e}^{-}) ^{8}\mathrm{Be} $ processes with the MEG II detector 2411.07994
16 M. Bauer, M. Neubert, and A. Thamm LHC as an Axion Factory: Probing an Axion Explanation for $ (g-2)_\mu $ with Exotic Higgs Decays PRL 119 (2017) 031802 1704.08207
17 CMS Collaboration Search for exotic Higgs boson decays $ H \to \mathcal{A}\mathcal{A} \to 4\gamma $ with events containing two merged diphotons in proton-proton collisions at $ \sqrt{s} $ = 13 TeV PRL 131 (2023) 101801 CMS-HIG-21-016
2209.06197
18 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
19 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 Accepted by JINST, 2023 CMS-PRF-21-001
2309.05466
20 CMS Collaboration Performance of the CMS Level-1 trigger in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JINST 15 (2020) P10017 CMS-TRG-17-001
2006.10165
21 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
22 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
23 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
24 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
25 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
26 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_\tau $ in pp collisions at $ \sqrt{s} = $ 13 TeV JINST 13 (2018) P10005 CMS-TAU-16-003
1809.02816
27 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
28 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019) P07004 CMS-JME-17-001
1903.06078
29 E. Bagnaschi, G. Degrassi, P. Slavich, and A. Vicini Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM JHEP 02 (2012) 088 1111.2854
30 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
31 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
32 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
33 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
34 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
35 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
36 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
37 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
38 P. F. Monni et al. MiNNLO$ _{PS} $: a new method to match NNLO QCD to parton showers JHEP 05 (2020) 143 1908.06987
39 P. F. Monni, E. Re, and M. Wiesemann MiNNLO$ _{\text {PS}} $: optimizing 2 $ \rightarrow $ 1 hadronic processes EPJC 80 (2020) 1075 2006.04133
40 T. Gleisberg et al. Event generation with SHERPA 1.1 JHEP 02 (2009) 007 0811.4622
41 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
42 CMS Collaboration Reconstruction of decays to merged photons using end-to-end deep learning with domain continuation in the CMS detector PRD 10 (1900) 8 CMS-EGM-20-001
2204.12313
43 W. Adam, R. Fr\"uhwirth, A. Strandlie, and T. Todor Reconstruction of Electrons with the Gaussian-Sum Filter in the CMS Tracker at the LHC
44 R. Fruhwirth, W. Waltenberger, and P. Vanlaer Adaptive vertex fitting JPG 34 (2007) N343
45 T. Chen and C. Guestrin XGBoost: A scalable tree boosting system in Proc. 22nd ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, KDD '16, Association for Computing Machinery, New York, NY, USA, 2016
link
46 CMS Collaboration Measurements of $ \mathrm{t\bar{t}}H $ Production and the CP Structure of the Yukawa Interaction between the Higgs Boson and Top Quark in the Diphoton Decay Channel PRL 125 (2020) 061801 CMS-HIG-19-013
2003.10866
47 CMS Collaboration Search for a standard model-like Higgs boson in the mass range between 70 and 110 GeV in the diphoton final state in proton-proton collisions at $ \sqrt{s} $=13TeV PLB 860 (2025) 139067 CMS-HIG-20-002
2405.18149
48 T. Skwarnicki A study of the radiative CASCADE transitions between the Upsilon-Prime and Upsilon resonances PhD thesis, Cracow, INP, 1986
49 M. Oreglia A Study of the Reactions $ \psi^\prime \to \gamma \gamma \psi $ PhD Thesis, Stanford University, 1980
50 CMS Collaboration The CMS statistical analysis and combination tool: \textscCombine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
51 H. Georgi, D. B. Kaplan, and L. Randall Manifesting the Invisible Axion at Low-energies PLB 169 (1986) 73
Compact Muon Solenoid
LHC, CERN