The measurable angular distribution of $$ {\Lambda}_b^0\to {\Lambda}_c^{+}\left(\to {\Lambda}^0{\pi}^{+}\right){\tau}^{-}\left(\to {\pi}^{-}{v}_{\tau}\right){\overline{v}}_{\tau } $$ decay

A bstract In $$ {\Lambda}_b^0\to {\Lambda}_c^{+}\left(\to {\Lambda}^0{\pi}^{+}\right){\tau}^{-}{\overline{v}}_{\tau } ? b 0 ? c + ? ? ? v ¯ decay, the solid angle of final-state particle ? ? cannot be determined precisely since decay products include an undetected ? . Therefore, angular distribution this measured. work, we construct a measurable by considering subsequent ? ? The full cascade is {\Lambda}^0{\pi}^{+}\right){\tau}^{-}\left(\to {\pi}^{-}{v}_{\tau}\right){\overline{v}}_{\tau three-momenta particles ? 0 , + and can Considering all Lorentz structures new physics (NP) effective operators unpolarized initial b state, five-fold differential expressed in terms ten observables {\mathcal{K}}_i\left({q}^2,{E}_{\pi}\right) K i q 2 E By integrating over some five kinematic parameters, define number observables, such as c spin polarization {P}_{\Lambda_c}\left({q}^2\right) P forward-backward asymmetry meson FB ( q 2 ), both which represented {\hat{\mathcal{K}}}_i\left({q}^2\right) ? We provide numerical results for entire set {\hat{\mathcal{K}}}_i within Standard Model NP scenarios, are variety best-fit solutions seven different hypotheses. find that resolve anomalies \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{v}}_{\tau B D ? decays has obvious effects on except {\hat{\mathcal{K}}}_{1 ss}\left({q}^2\right) 1 ss cc}\left({q}^2\right) cc