Probing Lorentz Invariance Violation in Z Boson Mass Measurements at High-Energy Colliders

Fuente: arXiv
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Autores principales: Jejelava, Juansher, Kepuladze, Zurab
Formato: Preprint
Publicado: 2025
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author Jejelava, Juansher
Kepuladze, Zurab
author_facet Jejelava, Juansher
Kepuladze, Zurab
contents We propose a minimal extension to the Standard Model by introducing a Lorentz Invariance Violation (LIV) term into the Z boson's dispersion relation, expressed as $p_μp^μ= M_Z^2 + δ_{LIV} (p_μn^μ)^2$, where $δ_{LIV}$ defines the violation scale and $n^μ$ is a unit Lorentz vector specifying the direction. This modification alters the Z boson propagator and decay rate, impacting the Drell-Yan process cross-section at high-energy colliders. Observable effects are most pronounced near the resonance region at high rapidities ($|Y| > 4$), potentially shifting the perceived Z boson mass and inducing sidereal-time modulations for spacelike and lightlike LIV due to Earth's rotation. We outline a targeted search strategy for ATLAS and CMS, achieving sensitivity to LIV signatures down to $|δ_{LIV}| \approx 10^{-8}$ (or $10^{-9}$ optimistically), offering new insights into historical and future collider data. Our model predicts systematic shifts in weak boson masses at higher collision energies, relevant to past Tevatron and LHC discrepancies, though current data are now consistent.
format Preprint
id arxiv_https___arxiv_org_abs_2504_11248
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing Lorentz Invariance Violation in Z Boson Mass Measurements at High-Energy Colliders
Jejelava, Juansher
Kepuladze, Zurab
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
We propose a minimal extension to the Standard Model by introducing a Lorentz Invariance Violation (LIV) term into the Z boson's dispersion relation, expressed as $p_μp^μ= M_Z^2 + δ_{LIV} (p_μn^μ)^2$, where $δ_{LIV}$ defines the violation scale and $n^μ$ is a unit Lorentz vector specifying the direction. This modification alters the Z boson propagator and decay rate, impacting the Drell-Yan process cross-section at high-energy colliders. Observable effects are most pronounced near the resonance region at high rapidities ($|Y| > 4$), potentially shifting the perceived Z boson mass and inducing sidereal-time modulations for spacelike and lightlike LIV due to Earth's rotation. We outline a targeted search strategy for ATLAS and CMS, achieving sensitivity to LIV signatures down to $|δ_{LIV}| \approx 10^{-8}$ (or $10^{-9}$ optimistically), offering new insights into historical and future collider data. Our model predicts systematic shifts in weak boson masses at higher collision energies, relevant to past Tevatron and LHC discrepancies, though current data are now consistent.
title Probing Lorentz Invariance Violation in Z Boson Mass Measurements at High-Energy Colliders
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
url https://arxiv.org/abs/2504.11248