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We introduce a method for isospin restoration in the calculation of nuclearmatrix elements (NME) for $0\nu\beta\beta$ and $2\nu\beta\beta$ decay withinthe framework of interacting boson model (IBM-2). With this method, wecalculate NME for all processes of interest in $0\nu\beta^-\beta^-$,$2\nu\beta^-\beta^-$, and in $0\nu\beta^+\beta^+$, $0\nu\beta^+ EC^+$, $R0\nuECEC$, $2\nu\beta^+\beta^+$, $2\nu\beta^+EC$, and $2\nu ECEC$. With thismethod, the Fermi (F) matrix elements for $2\nu\beta\beta$ vanish, and thosefor $0\nu\beta\beta$ are considerably reduced.

$0\nu\beta\beta$ and $2\nu\beta\beta$ nuclear matrix elements in the interacting boson model with isospin restoration