On the universal texture in the PA-2HDM for the V-spin case

Abstract

In a version of the PA-2HDM where only mixing between third and second fermion generations is allowed, we propose a mechanism to generate the second Yukawa matrix through a Unitary V-spin flavor transformation on the mass matrix for quarks and leptons. This flavor structure is constrained to be universal, that is, we use the same parameters to generate Yukawa matrix elements in the quark and leptonic sectors, reducing drastically the number of free parameters of the PA-2HDM. As a consequence of this restrictive condition, we obtain relations between the Yukawa matrix elements, that we call the Universal Texture Constraint (UTC). We obtained an interval of values for the second Yukawa matrix elements, expressed in terms of the Cheng and Sher ansatz, for [Formula: see text] and [Formula: see text] coming from the UTC and experimental bounds for light scalar masses. Finally, we find the allowed parameter region when the experimental bounds and values for [Formula: see text] decays, [Formula: see text] mixing, [Formula: see text] and [Formula: see text] are considered.

2-zeroes texture and the Universal Texture Constraint

“…It also shows that the zero-parameter limit for type-down quarks, when the 1-zero texture reduces to the two-zero texture, is excluded. Similar to the UTC discussed in [17], we find that leptons and quarks can be described by the same structure. Eight scenarios, corresponding to the eight possibilities in (42), were considered.…”

“…It shows scaled parameters with respect to the heaviest fermion mass for every sector, and leads to similar values in a narrow region determined mainly by the restriction on a mτ . As a consequence we can explore the possibility of a Universal Texture Constraint (UTC) as described in [17] for the Yukawa sector in extended scalar models, but in this case for the SM. The UTC was introduced in [37] to reduce drastically the number of free parameters in models with parallel textures.…”

“…In order to quantify the possible common origin of the flavor interaction in all sectors, we analyze the scaled parameters space in the lepton sector to look for universal values that generate mass matrices both in the charged lepton and the neutrino sector, the so-called Universal Texture Constraint (UTC) [17].…”

“…In section V it is shown a numerical analysis for the neutrino sector using a global fit of experimental measurement from [15] including the theoretical restrictions and for every possible parametrization found. Section VI shows the region of parameters allowed by the Universal Texture Constraint [17] in the leptonic sector for real positive parameters. In section VII, it is given the conclusions.…”