RGE behaviour of U(2)^3 symmetry in SUSY

TL;DR

This paper explores how a U(2)^3 flavor symmetry in split-family SUSY models evolves from high to low energies, analyzing the preservation of flavor correlations and implications for naturalness and LHC constraints.

Contribution

It investigates the RGE evolution of U(2)^3 flavor symmetry in split-family SUSY, providing initial conditions and analyzing the preservation of flavor correlations.

Findings

Identifies initial conditions compatible with split-family SUSY.

Shows preservation of flavor correlations under RGE evolution.

Discusses implications for naturalness and LHC constraints.

Abstract

From the naturalness point of view, the first LHC results seem to disfavour any constrained MSSM realization with universal conditions at the SUSY-breaking scale. A more motivated scenario is given by split-family SUSY, in which the first two generations of squarks are heavy, compatible with a U(2)^3 flavour symmetry. Here, after reviewing the flavour structures obtained in this framework, we consider the flavour symmetry to be broken at a very high scale, and study the consequences at low energies through its RGE evolution. Initial conditions compatible with a split scenario are found, and the preservation of correlations from minimal U(2)^3 breaking are checked.