Hunting Hidden Particles at the Future Electron-Ion Collider

Author: Denis Avetisyan


A new study details how a future collider could reveal evidence of axion-like particles and Z’ bosons, signaling physics beyond our current understanding.

The study establishes projected constraints on the coupling between an axion-like particle (ALP) and electrons, expressed as <span class="katex-eq" data-katex-display="false">g_{aee}</span>, as a function of ALP mass, <span class="katex-eq" data-katex-display="false">m_a</span>, utilizing the <span class="katex-eq" data-katex-display="false">e^{-}p \to e^{-}e^{+}e^{-}j</span> channel and complementing existing limits from perturbative calculations and analyses by BaBar and ATLAS, which also considers the loop-induced <span class="katex-eq" data-katex-display="false">g_{a\gamma\gamma}</span> coupling.
The study establishes projected constraints on the coupling between an axion-like particle (ALP) and electrons, expressed as g_{aee}, as a function of ALP mass, m_a, utilizing the e^{-}p \to e^{-}e^{+}e^{-}j channel and complementing existing limits from perturbative calculations and analyses by BaBar and ATLAS, which also considers the loop-induced g_{a\gamma\gamma} coupling.

This review explores the discovery potential for electrophilic axion-like particles and Z’ bosons at an Electron-Ion Collider using collider analysis and invariant mass reconstruction techniques.

Despite the Standard Model’s successes, fundamental questions regarding physics beyond its scope remain unanswered, motivating searches for new particles and interactions. This paper, ‘ALP and $Z^\prime$ boson at the Electron-Ion collider’, investigates the potential of a future electron-ion collider (EIC) to probe electrophilic axion-like particles (ALPs) and $Z^\prime$ bosons via collider analyses focusing on tri-electron and photon final states. We demonstrate that the EIC can significantly extend sensitivity to these beyond-the-Standard-Model scenarios, surpassing current experimental limits in key parameter regions. Will these searches at the EIC reveal compelling evidence for new physics and reshape our understanding of the fundamental constituents of matter?


Unveiling the Incomplete Standard Model: A Universe Beyond Our Grasp

Despite its extraordinary predictive power and consistent validation through experiments like those at the Large Hadron Collider, the Standard Model of particle physics remains incomplete when confronted with cosmological observations. Crucially, it offers no explanation for the existence of dark matter, a substance comprising roughly 85% of the matter in the universe, inferred from galactic rotation curves and the cosmic microwave background. Similarly, the model fails to account for the baryon asymmetry – the observed imbalance between matter and antimatter in the universe; the Standard Model predicts equal production of both during the Big Bang, which would have resulted in complete annihilation and a universe devoid of matter. These discrepancies strongly suggest the existence of physics beyond the Standard Model, motivating ongoing searches for new particles and interactions that could resolve these fundamental mysteries about the composition and evolution of the cosmos.

The established Standard Model of particle physics predicts neutrinos to be massless, yet experimental evidence decisively demonstrates they possess a non-zero, albeit tiny, mass. This discrepancy necessitates an extension to the Standard Model to accommodate this observation, potentially involving new particles and interactions. Simultaneously, the strong CP problem arises from the model’s inability to explain why the strong force doesn’t violate charge-parity (CP) symmetry, despite theoretical allowances for such a violation. A proposed solution, the Peccei-Quinn mechanism, introduces a new particle called the axion, which remains undetected despite extensive searches. Therefore, both the existence of neutrino mass and the persistent strong CP problem serve as compelling indicators that the Standard Model is incomplete, motivating the ongoing pursuit of new physics to resolve these fundamental puzzles and provide a more comprehensive understanding of the universe.

The persistent inability of the Standard Model to account for observed phenomena like dark matter and neutrino masses fuels an intensive search for new physics. This pursuit demands the development of innovative theoretical frameworks – such as supersymmetry, extra dimensions, and string theory – each proposing fundamental alterations to our understanding of the universe. Simultaneously, experimental endeavors are expanding beyond traditional particle colliders to include dedicated dark matter detectors, neutrino observatories, and precision measurements of fundamental constants. These complementary approaches – theoretical innovation coupled with increasingly sensitive experimental probes – represent a concerted effort to unravel the puzzles at the frontier of particle physics and cosmology, potentially revealing a more complete and accurate description of reality beyond the well-established, yet incomplete, Standard Model.

Analysis of the <span class="katex-eq" data-katex-display="false">e^{-}p</span> channel yields a 95% confidence level constraint on the <span class="katex-eq" data-katex-display="false">Z^{\prime}</span>-electron coupling <span class="katex-eq" data-katex-display="false">g_{Z^{\prime}}</span> as a function of the <span class="katex-eq" data-katex-display="false">Z^{\prime}</span> mass <span class="katex-eq" data-katex-display="false">m_{Z^{\prime}}</span>, complementing existing limits from BaBar, LEP, and IceCube (dependent on <span class="katex-eq" data-katex-display="false">\nu_e</span> interactions).
Analysis of the e^{-}p channel yields a 95% confidence level constraint on the Z^{\prime}-electron coupling g_{Z^{\prime}} as a function of the Z^{\prime} mass m_{Z^{\prime}}, complementing existing limits from BaBar, LEP, and IceCube (dependent on \nu_e interactions).

Beyond the Standard Model: A Landscape of Theoretical Possibilities

Beyond the Standard Model (BSM) scenarios represent a collection of theoretical frameworks developed to resolve inconsistencies and unanswered questions within the currently accepted Standard Model of particle physics. These shortcomings include the non-explanation of dark matter and dark energy, the origin of neutrino masses, the matter-antimatter asymmetry in the universe, and the hierarchy problem related to the Higgs boson mass. BSM models propose modifications and extensions to the Standard Model, typically involving the introduction of new particles, forces, and symmetries. Common approaches include supersymmetry, extra dimensions, and models with new gauge bosons or fermions, each designed to address specific observational anomalies and theoretical challenges. The diversity of these scenarios reflects the complexity of probing physics beyond our current understanding.

Beyond the Standard Model (BSM) scenarios posit the existence of particles and interactions not currently accounted for, addressing several observed discrepancies. Specifically, these models propose candidates for dark matter, such as Weakly Interacting Massive Particles (WIMPs) or axions, to explain the missing mass-energy density of the universe. Furthermore, BSM physics frequently incorporates mechanisms to account for non-zero neutrino masses, often through the introduction of right-handed neutrinos or sterile neutrino extensions. Anomalies in muon magnetic dipole moments, and discrepancies in measurements of the forward-backward asymmetry in b-quark decays, are also targeted by these theoretical frameworks, frequently requiring new gauge bosons or leptoquarks to resolve.

The proliferation of Beyond the Standard Model (BSM) scenarios necessitates refined experimental approaches due to limitations in comprehensively testing each possibility. The sheer number of proposed models – differing in particle content, interaction strengths, and underlying symmetries – creates a significant combinatorial challenge for collider experiments and indirect searches. Consequently, experiments are increasingly adopting model-specific or simplified model approaches, focusing on parameter spaces motivated by theoretical considerations like naturalness or those offering the largest production cross-sections or most easily detectable signatures. Furthermore, multi-messenger strategies – combining data from high-energy colliders, precision measurements, and astrophysical observations – are crucial for efficiently navigating this complex landscape and prioritizing the most viable BSM candidates.

Probing Hidden Sectors: Electrophilic New Physics

Theoretical models incorporating Electrophilic Z’ bosons and Electrophilic ALPs propose new physics characterized by preferential coupling to electrons. These models diverge from standard interactions by positing particles that interact more strongly with electrons than with other Standard Model fermions. The Electrophilic Z’ boson, a hypothetical gauge boson, and the Electrophilic ALP, a pseudo-scalar boson, are proposed as mediators of these interactions. This preferential coupling implies that signatures of these particles would manifest primarily in electron-initiated processes, making experiments sensitive to electron interactions particularly well-suited for their detection. The strength of these couplings is a key parameter in determining the observability of these new particles and their potential impact on high-energy physics.

Effective Field Theory (EFT) provides a framework for analyzing the potential signatures of Electrophilic Z’ bosons and ALP particles by parameterizing their interactions with Standard Model fermions. Rather than specifying a complete UV model, EFT focuses on the low-energy degrees of freedom and expands physical observables in terms of operators with increasing dimensionality, suppressed by a characteristic energy scale Λ. This approach allows for a systematic exploration of possible new physics effects, independent of the specific UV completion, and facilitates the identification of measurable parameters like the ALP-electron coupling g_{a_{ee}} and the Z’-electron coupling g_{Z'}. By focusing on the leading order terms in the EFT expansion, predictions can be made and compared with experimental results from facilities like the Electron-Ion Collider (EIC) to constrain the parameter space of these models.

Loop-induced coupling mechanisms in models featuring Electrophilic Z’ bosons and ALPs provide a pathway for interactions between these hypothetical particles and Standard Model fermions, even without direct couplings. The Electron-Ion Collider (EIC) is projected to have sufficient sensitivity to probe these interactions, specifically targeting ALP-electron couplings (g_{a_{ee}}) down to the range of 0.005 to 0.64 for ALP masses between 5.5 GeV and 100 GeV. Similarly, the EIC is anticipated to be sensitive to Z’-electron couplings (g_{Z'}) in the range of 0.26e-2 to 5.6e-2 for Z’ boson masses between 5.5 GeV and 70 GeV, offering a means to indirectly detect these particles through their subtle effects on particle interactions.

The signal process <span class="katex-eq" data-katex-display="false">e^{-}p\to e^{-}e^{+}e^{-}j</span> involves Feynman diagrams exhibiting ALP-photon coupling <span class="katex-eq" data-katex-display="false">g_{a\gamma\gamma}</span>, with the ALP potentially decaying into a photon pair via a loop involving an electron.
The signal process e^{-}p\to e^{-}e^{+}e^{-}j involves Feynman diagrams exhibiting ALP-photon coupling g_{a\gamma\gamma}, with the ALP potentially decaying into a photon pair via a loop involving an electron.

The EIC and the Search for New Physics: Expanding Our Observational Horizon

The pursuit of physics beyond the Standard Model increasingly focuses on scenarios involving new forces and particles interacting with matter in subtle ways, termed Electrophilic New Physics. The proposed Electron-Ion Collider (EIC) offers a distinctive approach to investigating these elusive phenomena. Unlike hadron colliders like the LHC, which create a complex environment for particle detection, the EIC will collide electrons with ions, providing a cleaner signal and access to the internal structure of matter at an unprecedented level of detail. This precision allows researchers to search for virtual particles mediating new forces, even those weakly coupled to ordinary matter, by carefully measuring the scattering of electrons off the ions. The EIC’s capabilities extend beyond simply detecting new particles; it promises to map their interactions and properties, potentially revealing the underlying dynamics of these Electrophilic forces and offering crucial insights into the fundamental constituents of the universe.

The proposed Electron-Ion Collider is poised to significantly enhance the search for beyond-the-Standard-Model particles, specifically ElectrophilicZPrime and ElectrophilicALP bosons. Through its design, the EIC anticipates achieving unprecedented sensitivity in detecting these hypothetical particles, with projected cross-section exclusion limits ranging from 0.29 to 6.03 femtobarns for ALPs and 0.36 to 5.46 femtobarns for ZPrimes at a 95% confidence level, dependent on particle mass. These stringent limits represent a substantial advancement in the search for new physics, potentially revealing subtle interactions currently beyond the reach of existing high-energy experiments like the Large Hadron Collider and opening a new window into the fundamental constituents of matter.

The search for physics beyond the Standard Model benefits significantly from diverse experimental approaches, and the proposed Electron-Ion Collider (EIC) offers a unique complementary pathway to the Large Hadron Collider (LHC). While the LHC excels at high-energy collisions, probing massive particles directly, the EIC will focus on precision measurements of the internal structure of protons and nuclei. This distinct approach allows the EIC to explore parameter spaces inaccessible to the LHC, particularly in scenarios involving weakly coupled new particles or subtle modifications to known forces. By meticulously mapping the distribution of quarks and gluons within nucleons, the EIC can indirectly reveal the presence of new physics through deviations from Standard Model predictions, effectively expanding the reach of the search and offering a potentially transformative avenue for discovery.

The pursuit of physics beyond the Standard Model, as detailed in this exploration of ALPs and Z’ bosons at a future Electron-Ion Collider, necessitates a rigorous ethical framework. Any algorithm designed to sift through collider data, seeking these subtle signals of new physics, carries societal debt if it prioritizes statistical significance over potential biases or overlooks vulnerable data subsets. Stephen Hawking once observed, “Intelligence is the ability to adapt to any environment.” This adaptation isn’t merely technological; it demands an ethical recalibration, ensuring the tools used to unlock the universe’s secrets do not inadvertently encode and amplify existing inequalities. The invariant mass reconstruction techniques discussed require not only precision but also transparency, preventing the automation of potentially flawed assumptions.

Where Do We Go From Here?

The search for physics beyond the Standard Model inevitably becomes a search for increasingly subtle deviations. This work, focused on the potential of an electron-ion collider to reveal axion-like particles and Z’ bosons, highlights a critical point: the precision required to tease out these signals demands not only technological advancement, but a rigorous examination of the assumptions embedded within the analysis itself. Someone will call it discovery, and someone will overstate the implications. The effective field theory approach, while powerful, is still a simplification, and the chosen parameter space represents a deliberate, and potentially limiting, focus.

The true challenge lies not merely in building larger colliders, but in refining the theoretical frameworks used to interpret the data. Invariant mass reconstruction, as a technique, is only as reliable as the understanding of the underlying particle interactions. A focus on statistical significance risks obscuring the systematic uncertainties-the hidden biases within the models themselves.

Efficiency without morality is illusion. The pursuit of new particles, divorced from a broader consideration of the fundamental principles governing the universe, risks becoming an exercise in technological prowess for its own sake. The next step requires a more holistic approach-one that prioritizes intellectual honesty and a critical assessment of the values encoded within the algorithms used to explore the unknown.


Original article: https://arxiv.org/pdf/2601.04962.pdf

Contact the author: https://www.linkedin.com/in/avetisyan/

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2026-01-10 07:22