Towards a complete angular analysis of the electroweak penguin decay ${\Lambda }_b^0\to p{h}^{-}{\ell }^{+}{\ell }^{-}$

Abstract

We investigate the rare electroweak penguin transition $b\to s{\ell }^{+}{\ell }^{-}$ though angular analyses in baryonic $b$-decays. Instead of performing likelihood fits, that might suffer from ambiguity issues, we employ the moments technique, which is a simple counting experiment. The method is known to be robust under low statistics conditions and avoids the ambiguity problem by construction. We provide the full set of 32 orthonormal moments for ${\Lambda }_b^0\to p{h}^{-}{\ell }^{+}{\ell }^{-}$, where $h\in \{\pi ,K\}$, for a polarized ${\Lambda }_b^0$ and the dihadron system $[ph]$ being in a spin-1/2 state.