Phenomenological consequences of four zero neutrino Yukawa textures

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 $\mu \to e\gamma$. 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.

25 pages, Typo in Eq. (10) and the Tables corrected

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Cited by in corpus (9)

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• Majorana neutrino mass matrices with three texture zeros and the sterile neutrino
• Seesaw mechanism with four texture zeros in the neutrino Yukawa matrix
• Baryon asymmetry from leptogenesis with four zero neutrino Yukawa textures
• Impact of texture zeros on dark matter and neutrinoless double beta decay in inverse seesaw
• Flavor symmetric origin of texture zeros in minimal inverse seesaw and impacts on leptogenesis
• A minimal axion model for mass matrices with five texture-zeros
• Neutrino Yukawa textures within type-I see-saw
• Edge of a cliff