Quark flavor mixings from hierarchical mass matrices

Abstract

In this paper, we extend the Fritzsch ansatz of quark mass matrices while retaining their hierarchical structures and show that the main features of the CabibboKobayashi-Maskawa (CKM) matrix V , including |V us | |V cd |, |V cb | |V ts | and |V ub |/|V cb | < |V td |/|V ts |, can be well understood. This agreement is observed especially when the mass matrices have non-vanishing (1, 3) and (3, 1) offdiagonal elements. The phenomenological consequences of these for the allowed texture content and gross structural features of 'hierarchical' quark mass matrices are addressed from a model-independent prospective under the assumption of factorizable phases in these. The approximate and analytical expressions of the CKM matrix elements are derived and a detailed analysis reveals that such structures are in good agreement with the observed quark flavor mixing angles and the CP-violating phase at the 1σ level and call upon a further investigation of the realization of these structures from a top-down prospective.

Exploring the predictability of symmetric texture zeros in quark mass matrices

“…In particular, a fine tuning of the free parameters in terms of the quark masses yields interesting predictions in certain texture possibilities as well as retain strongly hierarchical structures for quark mass matrices discussed in [77]. In principle, it is concluded that in addition to Fritzsch-like texture four zeros, several viable structures for hierarchical quark mass matrices involving symmetric texture zeros may be compatible with current precision data, with certain structures being sensitive to light quark masses and all such structures [40] may not yield interesting predictions as obtained in the Cases discussed above.…”

Study of Homogeneous and Isotropic Universe in f(R,Tφ) Gravity

“…In [26], the authors extended this formalism for scalar fields with tachyonic dynamics. Recently, Moraes and Santos [27] presented a cosmological picture in ( , ) gravity in the absence of matter by considering flat FRW model. They started with the relatioṅ= − / which comes from the field equations of GR via the abovementioned formalism.…”

“…We have applied this formalism to Bianchi type-I universe model (with no matter present) and concluded that the exponential form of ( ) can explain all the stages of the universe evolution [28]. The motivation for neglecting matter action is that ( , ) framework cannot describe the radiation-dominated era because in that phase the value of for perfect fluid is zero and ( , ) theory is reduced to ( ) scenario [27]. Moreover, Alves et al [20] showed that for gravitational wave passing through vacuum with no extra polarization modes are induced due to curvature matter coupling as = 0 in vacuum.…”

“…In this paper, we explore cosmology of generalized FRW universe model using the same action used in [27] and with the fundamental assumption of first order formalism, i.e., = ( ) in ( , ) gravity. The plan of the paper is as follows.…”

Implications of δlCP~270° and Verma1 2016Advances in High Energy PhysicsSelf Cite5040View full textAdd to dashboardCite

“…Recent investigations [4] in this regard indicate that the current quark mixing data indeed permit the quark mass matrices to have such a natural and hierarchical structure provided ( ) ∼ ( √ ) for , = 1, 2, 3, ̸ = and ( ) ∼ ( ). Such hierarchical mass matrices have been referred to as natural mass matrices [5].…”