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John Ellis1, Keith A Olive2, L Velasco-Sevilla3

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We explore supersymmetric grand unified theories (super-GUTs) and find that specific conditions can resolve the supersymmetric flavour problem. This occurs when scalar masses are smaller than gaugino masses, leading to maximal flavour violation (MaxSFV).

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Area of Science:

  • Particle Physics
  • High Energy Physics
  • Theoretical Physics

Background:

  • Supersymmetric Grand Unified Theories (super-GUTs) are theoretical frameworks aiming to unify fundamental forces.
  • The supersymmetric flavour problem arises from potential flavour-changing interactions mediated by supersymmetry-breaking terms.
  • No-scale models predict relationships between scalar and gaugino masses, influencing renormalization group evolution.

Purpose of the Study:

  • To investigate conditions within super-GUTs that can resolve the supersymmetric flavour problem.
  • To explore the implications of Yukawa coupling patterns motivated by experimental constraints on flavour-changing interactions.
  • To analyze the role of soft supersymmetry-breaking scalar masses relative to gaugino masses.

Main Methods:

  • Consideration of supersymmetric grand unified theories with soft supersymmetry-breaking scalar masses above the GUT scale.
  • Analysis of Yukawa coupling patterns constrained by upper limits on flavour-changing interactions.
  • Examination of renormalization group evolution effects between the input and GUT scales, particularly when scalar masses are smaller than gaugino masses.

Main Results:

  • Identified a scenario, termed maximal flavour violation (MaxSFV), where input scalar masses can maximally violate flavour.
  • Demonstrated that under the condition of scalar masses being smaller than gaugino masses (as in no-scale models), the supersymmetric flavour problem is resolved.
  • Showcased this possibility within specific super-GUT scenarios derived from no-scale gravity.

Conclusions:

  • The supersymmetric flavour problem can be avoided in super-GUTs under specific mass relations between scalars and gauginos.
  • Maximal flavour violation (MaxSFV) is a viable scenario consistent with current experimental constraints.
  • Deformations of no-scale gravity provide concrete examples where these conditions are met.