Rare Semileptonic Meson Decays in R-parity Violating Mssm

In the standard model (SM), lepton L and baryon B number conservation take place due to the accidental U(1)L ×U(1)B symmetry existing at the level of renormalizable operators. But, for many extensions of the SM, this is not the case. The well known mechanism of lepton number (LN) violation is based on the mixing of massive Majorana neutrinos predicted by various Grand unified theories (GUTs) [1]. The Majorana mass term violates LN by ∆L = ±2 [2] and can lead to a large number of LN violating processes. Among them, the most sensitive to the LN violation are processes such as neutrinoless double beta decay (A,Z) → (A,Z + 2) + e + e (for a recent review, see [3]), rare meson decays (see, e.g., [4, 5])