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Shift-Invariant Orders of an Axionlike Particle.

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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.

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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.