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We propose a mirror world solution to the strong CP problem. This theory introduces new mass scales and heavy colored particles potentially discoverable at colliders.

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Area of Science:

  • Particle Physics
  • Cosmology
  • Quantum Field Theory

Background:

  • The strong CP problem, a long-standing puzzle in particle physics, concerns the unexplained smallness of a CP-violating term in the quantum chromodynamics (QCD) sector.
  • The Standard Model of particle physics, while successful, does not inherently solve the strong CP problem.

Purpose of the Study:

  • To propose and analyze a theoretical framework, a complete mirror world with parity symmetry, to resolve the strong CP problem.
  • To derive constraints on the new mass scales introduced by the mirror world scenario.

Main Methods:

  • Theoretical modeling of a mirror world with parity symmetry.
  • Analysis of spontaneous symmetry breaking mechanisms for electroweak and color groups.
  • Calculation of contributions to the QCD theta term.

Main Results:

  • The proposed mirror world with parity symmetry effectively solves the strong CP problem.
  • Bounds are derived for two new mass scales: v' (parity and mirror electroweak symmetry breaking) and v3 (color group breaking).
  • The strong CP problem is solved even when v3 is significantly smaller than v', allowing for accessible heavy colored states at colliders.

Conclusions:

  • The mirror world scenario provides a viable solution to the strong CP problem.
  • The breaking of parity symmetry introduces negligible contributions to the QCD theta term at three-loop order.
  • Dynamical symmetry breaking at v3 is possible without introducing an additional hierarchy problem.