Exact SU(5) Yukawa matrix unification in the General Flavour Violating MSSM

The simplest Grand Unified Theory (GUT) embedding the Standard Model (SM)
is based on the SU(5) symmetry. The unification of gauge couplings,
failing in the SM, takes place in the widely studied R-parity conserving
Minimal Supersymmetric Standard Model (MSSM). The possibility of
satisfying the minimal SU(5) boundary conditions also for Yukawa matrices
at the GUT scale within the MSSM is investigated and a new region in the
parameter space consistent with this requirement is identified.

The equality of down-quark and lepton Yukawa matrices at the GUT scale can
be achieved with non-zero flavour off-diagonal entries in the soft
SUSY-breaking mass matrices and the A-terms. The proposed scenario is
consistent with a wide set of  experimental constraints, including flavour
and electroweak observables, Higgs physics and the LHC bounds.

Moreover, for all points with unified Yukawas, the lightest neutralino is
almost pure bino and relatively light, ~250 GeV. The proper value of the
dark matter relic density can then be achieved only with at least one
generation of light sleptons present. This prediction makes the
flavour-violating SU(5) Yukawa unification scenario fully testable at the
LHC 14 TeV with the 3-lepton searches for electroweakino production.