Unifying flippedSU(5)in five dimensions

Abstract

It is shown that embedding a four-dimensional flipped SU (5) model in a five-dimensional SO (10) model, preserves the best features of both flipped SU (5) and SO(10). The missing partner mechanism, which naturally achieves both doublet-triplet splitting and suppression of d = 5 proton decay operators, is realized as in flipped SU (5), while the gauge couplings are unified as in SO(10). The masses of down quarks and charged leptons, which are independent in flipped SU (5), are related by the SO(10). Distinctive patterns of quark and lepton masses can result. The gaugino mass M 1 is independent of M 3 and M 2 , which are predicted to be equal.

FlippingSU(5)towards five-dimensional unification

“…H that is needed for the missing partner mechanism on the visible brane [13]. Here, however, we pursue slightly different direction.…”

“…But, some of these questions, including the possibility of having a model with the realistic mass patterns, have already been tackled in Ref. [13]. [There are, of course, different directions one might take.…”

“…The way out, as has been recently shown [13], is to embed the flipped SU(5) within an SO(10) group in five dimensions using the extra-dimensional frameworkà la Kawamura [14,15,16]. In this way, at the four-dimensional level, the famous missing partners can still be missing and the doublet-triplet splitting can be achieved without the dangerous Higgsino-mediated proton decay.…”

The minimal GUT with inflaton and dark matter unification

“…To achieve gauge coupling unification, we introduce one pair of vector-like fermions, which form a complete SU (5) × U (1) X representation. This kind of models can be constructed in the fourdimensional SO(10) models [46], five-dimensional orbifold SO(10) models [47], and local F-theory SO(10) models [48,49]. The doublet-triplet splitting problem can be solved at tree level, the proton lifetime is about 5 × 10 35 years, neutrino masses and mixing can be explained via the seesaw mechanism, baryon asymmetry can be generated via leptogenesis, and the stability problem can be solved as well.…”

Embedding flipped SU(5) into SO(10)

“…However, it is well-known that the missing partner mechanism can not work, because the partners that were missing in the SU(5) × U(1) X multiplets are indeed appear in the larger SO (10) multiplets. To solve this problem, two kinds of models were proposed: the five-dimensional orbifold SO(10) models [7], and the four-dimensional SO(10) × SO(10) models with bispinor link Higgs fields [8] (For other SO(10) models with flipped SU(5) embedding, please see Refs. [9].…”