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In the limit of an approximate $\mu-\tau$ symmetry in the neutrino massmatrix, we explore deviations to the Tri-Bi-Maximal mixing pattern in theneutrino sector. We consider two different ansatzes for the corrected patternto predict the current values of neutrino mixing parameters. We show that it ispossible to constrain the Majorana $CP$ phases by studying their correlation tothe mixing parameters and we study their effects on neutrinoless double betadecay observables. These predictions are sharp for the quasi-degenerateordering and can be tested in upcoming experiments.

Deviations to Tri-Bi-Maximal mixing in the limit of $\mu-\tau$ symmetry