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R-parity violation and 8 TeV four-jet events at the LHC: a falsification opportunity for Wagner's Rule

Pedro Bittar, Subhojit Roy, Carlos E. M. Wagner

TL;DR

This work investigates whether the CMS 8 TeV four-jet excess can be explained by supersymmetry with R-parity violation, in particular via a single baryon-number violating coupling $\\lambda''_{11k}$ in a minimal UD D scenario. The authors propose a heavy right-handed down-type squark with mass $\\sim 8\\,\\text{TeV}$ produced in $ud$ collisions, which decays to two lighter right-handed squarks of mass $\\sim 2\\,\\text{TeV}$, resulting in a fully hadronic $4j$ final state with a predicted rate $\\sigma(pp\\to 4j) \\approx 0.07$ fb for $\\lambda''_{11k}=0.33$ and $A_{11k}=5$ TeV; they compute the branching ratio, width, and discuss constraints from dijet searches and non-collider bounds. The analysis shows that a viable parameter region exists where the four-jet signal can match the CMS observation while satisfying $n{-}\\bar{n}$ oscillation and dinucleon decay limits, provided the relevant right-handed squark mixings are suppressed (e.g., by a flavor symmetry such as $U(2)\\times U(2)$). The paper also outlines falsifiable predictions, including potential $b$-tagging in the $k=3$ case and upcoming HL-LHC tests, to further scrutinize the proposed scenario.

Abstract

The CMS Collaboration at the Large Hadron Collider (LHC) has observed two four-jet events with a total invariant mass of about 8 TeV; within each event, the jets can be paired into two dijets with invariant masses of 2 TeV each. These are extremely rare events due to the large invariant mass, which implies a very small QCD background, as well as to the di-jet structure, which makes it prone to an interpretation in terms of a heavy resonance decaying into two lighter ones. We investigate the possible interpretation of these events in terms of supersymmetry with a single baryon-number and R-Parity violating term. Such an interpretation would be in accordance with Wagner's rule, which asserts that any collider anomaly may be explained by low-energy Supersymmetry when R-Parity-violating couplings are allowed. In this particular scenario, the lighter resonances are identified with the right-handed squarks of the first generation, while the heavy one is interpreted in terms of a down-squark of the second or third generation. We discuss the constraints that shape this interpretation and outline a well-defined scenario for its realization. The resulting predictions can be scrutinized with forthcoming LHC data.

R-parity violation and 8 TeV four-jet events at the LHC: a falsification opportunity for Wagner's Rule

TL;DR

This work investigates whether the CMS 8 TeV four-jet excess can be explained by supersymmetry with R-parity violation, in particular via a single baryon-number violating coupling in a minimal UD D scenario. The authors propose a heavy right-handed down-type squark with mass produced in collisions, which decays to two lighter right-handed squarks of mass , resulting in a fully hadronic final state with a predicted rate fb for and TeV; they compute the branching ratio, width, and discuss constraints from dijet searches and non-collider bounds. The analysis shows that a viable parameter region exists where the four-jet signal can match the CMS observation while satisfying oscillation and dinucleon decay limits, provided the relevant right-handed squark mixings are suppressed (e.g., by a flavor symmetry such as ). The paper also outlines falsifiable predictions, including potential -tagging in the case and upcoming HL-LHC tests, to further scrutinize the proposed scenario.

Abstract

The CMS Collaboration at the Large Hadron Collider (LHC) has observed two four-jet events with a total invariant mass of about 8 TeV; within each event, the jets can be paired into two dijets with invariant masses of 2 TeV each. These are extremely rare events due to the large invariant mass, which implies a very small QCD background, as well as to the di-jet structure, which makes it prone to an interpretation in terms of a heavy resonance decaying into two lighter ones. We investigate the possible interpretation of these events in terms of supersymmetry with a single baryon-number and R-Parity violating term. Such an interpretation would be in accordance with Wagner's rule, which asserts that any collider anomaly may be explained by low-energy Supersymmetry when R-Parity-violating couplings are allowed. In this particular scenario, the lighter resonances are identified with the right-handed squarks of the first generation, while the heavy one is interpreted in terms of a down-squark of the second or third generation. We discuss the constraints that shape this interpretation and outline a well-defined scenario for its realization. The resulting predictions can be scrutinized with forthcoming LHC data.

Paper Structure

This paper contains 8 sections, 13 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Model and collider interpretation of the 8-TeV four-jet excess
  3. RPV Setup and assumptions
  4. Production, decay, and branching ratios
  5. Rates and collider constraints
  6. Four-jet mass distribution and discussion
  7. $n-\bar{n}$ oscillations and dinucleon decay bounds
  8. Conclusions

Figures (2)

  • Figure 1: Representative diagrams for squark production and decay at the LHC. Left: the 8 TeV $\tilde{d}_k^{\,*}$ decays via the soft $A_{ijk}$ into two $\sim2$ TeV first-generation squarks, yielding a fully hadronic four-jet signal with $(jj)(jj)$ substructure. Right: leading constraint from resonant production of the light first-generation squarks, yielding dijet final states.
  • Figure 2: Four-jet invariant-mass distribution $m_{4j}$ comparing our signal prediction (blue histogram) with the CMS measurements (black markers) and the SM background estimate obtained from interpolation (red dashed) CMS:2022usqCMS:2025hpa. This distribution corresponds to the CMS inclusive analysis, where all $\alpha = m_{2j}/m_{4j}$ bins have been combined. At $m_{4j}=8~\text{TeV}$, the CMS data bin contains two overlapping data points.