Eur. Phys. J. C (2013) 73: 2289
https://doi.org/10.1140/epjc/s10052-013-2289-x

Regular Article - Theoretical Physics

RGE behavior of SUSY with a U(2)³ symmetry

¹ Dipartimento di Fisica, Università di Roma Tre, Via della Vasca Navale 84, 00146, Rome, Italy
² INFN, Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044, Frascati, Italy
³ Departament de Física Teòrica and IFIC, Universitat de València-CSIC, 46100, Burjassot, Spain
⁴ Theory Division, CERN, 1211, Geneva 23, Switzerland

^* e-mail: joel.jones@uv.es

Received: 25 October 2012
Revised: 12 December 2012
Published online: 1 February 2013

Abstract

The first LHC results seem to disfavor, from the point of view of naturalness, 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 flavor symmetry. We consider this flavor 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. The various chiral operators in ΔF=2 processes are analyzed, and we show that, due to LHC gluino bounds, the (LL)(RR) operators cannot always be neglected. Finally, we also study a possible extension of the U(2)³ model compatible with the lepton sector.