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#### Phenomenological consequences of four zero neutrino Yukawa textures

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##### Citation

Choubey, S., Rodejohann, W., & Roy, P. (2009). Phenomenological consequences of
four zero neutrino Yukawa textures.* Nuclear Physics B,* *808*(1-2),
272-291. doi:10.1016/j.nuclphysb.2008.09.031.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-7719-2

##### Abstract

For type I seesaw and in the basis where the charged lepton

and heavy right-handed neutrino mass matrices are real and

diagonal, four has been shown to be the maximum number of

zeros allowed in the neutrino Yukawa coupling matrix Y(nu).

These four zero textures have been classified into two

distinct categories. We investigate certain phenomenological

consequences of these textures within a supersymmetric

framework. This is done by using conditions implied on

elements of the neutrino Majorana mass matrix for textures

of each category in Y(nu). These conditions turn out to

be stable under radiative corrections. Including the

effective mass, which appears in neutrinoless double

beta decay, along with the usual neutrino masses, mixing

angles and phases, it is shown analytically and through

scatter plots how restricted regions in the seesaw parameter

space are selected by these conditions. We also make

consequential statements on the yet unobserved

radiative lepton flavor violating decays such as mu -> e gamma.

All these decay amplitudes are proportional to the moduli of

entries of the neutrino Majorana mass matrix. We also

show under which conditions the low energy CP violation,

showing up in neutrino oscillations, is directly linked

to the CP violation required for producing successful

flavor dependent and flavor independent lepton asymmetries

during leptogenesis.

and heavy right-handed neutrino mass matrices are real and

diagonal, four has been shown to be the maximum number of

zeros allowed in the neutrino Yukawa coupling matrix Y(nu).

These four zero textures have been classified into two

distinct categories. We investigate certain phenomenological

consequences of these textures within a supersymmetric

framework. This is done by using conditions implied on

elements of the neutrino Majorana mass matrix for textures

of each category in Y(nu). These conditions turn out to

be stable under radiative corrections. Including the

effective mass, which appears in neutrinoless double

beta decay, along with the usual neutrino masses, mixing

angles and phases, it is shown analytically and through

scatter plots how restricted regions in the seesaw parameter

space are selected by these conditions. We also make

consequential statements on the yet unobserved

radiative lepton flavor violating decays such as mu -> e gamma.

All these decay amplitudes are proportional to the moduli of

entries of the neutrino Majorana mass matrix. We also

show under which conditions the low energy CP violation,

showing up in neutrino oscillations, is directly linked

to the CP violation required for producing successful

flavor dependent and flavor independent lepton asymmetries

during leptogenesis.