Minimal flavour violation and SU(5)-unification

Abstract

Minimal flavour violation in its strong or weak versions, based on U (3) 3 and U (2) 3 , respectively, allows suitable extensions of the standard model at the TeV scale to comply with current flavour constraints in the quark sector. Here we discuss considerations analogous to minimal flavour violation (MFV) in the context of SU (5)-unification, showing the new effects/constraints that arise both in the quark and in the lepton sector, where quantitative statements can be made controlled by the CKM matrix elements. The case of supersymmetry is examined in detail as a particularly motivated example. Third generation sleptons and neutralinos in the few hundred GeV range are shown to be compatible with current constraints.

Approaching Minimal Flavour Violation from an SU(5) × S 4 × U(1) SUSY GUT

“…We see that the term proportional to η λ 6 , which was generated inà u low 23 via th RG evolution, is the source of the associated term in (δ u LR ) 23 , which was of order λ 7 at the GUT scale. In…”

“…However, in GUTs based on SU(5) [18] or the Pati-Salam group SU(4) × SU(2) × SU(2) ′ [19,20], it is possible to introduce an SU(3) 2 flavour symmetry instead, and this has been shown to lead to sufficient suppression of flavour violation [21][22][23]. Considering SUSY GUTs, the CMSSM framework always provides a safe haven from unwanted flavour violation, although CP violation in the form of Electric Dipole Moments (EDMs) remains a challenge [17].…”

B -physics anomalies: The bridge between R -parity violating supersymmetry and flavored dark matter

“…It is thus suitable to adopt a different version of the U (2) 2 flavour symmetry group that commutes with SU (5), which is contained in all GUT groups. In terms of the 10 i (T i ) ⊕ 5i ( Fi ) (i = 1, 2, 3) representations of SU (5), the plausible choice is the flavour symmetry U (2) T × U (2) F [126], under which the matter superfields transform as,…”

Theory Status - Puzzles in B Meson Decays and LFU?

“…Scalar leptoquarks are typical examples of these models (see e.g., [20,33,[36][37][38][39]). Spin 1 resonances are considered as a remnant of some techni-fermion models [40,41] or as gauge bosons [43][44][45][46][47].…”