Maximal sfermion flavour violation in super-GUTs.

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.