### STUDY OF NEUTRINOLESS DOUBLE-BETA DECAY AND JARLSKOG INVARIANT FOR THE TWO-ZERO TEXTURES IN MINIMAL EXTENDED SEESAW MECHANISM

#### Abstract

In this work we study the effective Majorana mass $|m_{ee}|$ in neutrinoless double-beta decay for the two-zero textures of $4\times4$ neutrino mass matrices in minimal extended type-I seesaw (MES) mechanism i.e (3+1) scenario, incorporating one extra gauge singlet field “S”. The MES model deals with $3\times3$ ($M_D$),$3\times3$ ($M_R$) and mass matrix $1\times3$ ($M_S$) which couples with the right-handed neutrinos and the singlet field “S”. Here only those two-zero textures are considered which are of rank 3, thereby the number of feasible zero textures reduces to 12, out of 15. In this work we consider the (4+4) scheme where the digits in the pair represent the number of zeros of $M_D$ and $M_R$ respectively, along with the one/two-zero textures of $M_S$. This formalism leads to one sterile neutrino in eV scale. We are motivated to work on eV scale sterile neutrino for the solution to the LSND anomaly which is still alive experimentally. We have also shown the $|m_{ee}|$ and $J_{cp}$ plots for all the two-zero textures considered.

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