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Updated: Aug 4, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Shift-Invariant Orders of an Axionlike Particle
Quentin Bonnefoy1, Christophe Grojean1,2, Jonathan Kley1,2
1Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany.
Global symmetries, like axion shift symmetries, are often approximate. This study introduces new flavor invariants to quantify the breaking of these symmetries in axionlike particle interactions.
Area of Science:
- Theoretical Particle Physics
- Beyond Standard Model Physics
- Flavor Physics
Background:
- Global symmetries, particularly axion shift symmetries, are generally considered approximate.
- Understanding the breaking of these symmetries is crucial for effective field theories involving axionlike particles.
Purpose of the Study:
- To quantify the breaking of axion shift symmetry in the couplings of axionlike particles to Standard Model fermions.
- To identify order parameters that precisely signal the breaking of axion shift symmetry.
Main Methods:
- Identification of a minimal set of Jarlskog-like flavor invariants.
- Matching these invariants to a UV completion model.
- Analysis of CP transformations and renormalization group evolution.
- Investigation in low-energy effective field theory and nonperturbative effects.
Main Results:
- A minimal set of flavor invariants uniquely characterizes axion shift symmetry breaking.
- These invariants serve as order parameters for symmetry breaking.
- Properties such as CP transformation and RGE evolution of these invariants are determined.
Conclusions:
- The developed flavor invariants provide a quantitative measure for axion shift symmetry breaking.
- The study offers insights into the flavorful nature of axion couplings and their breaking mechanisms.
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