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In the context of lepton flavor universality violation (LFUV) studies, wefully derive a general tensor formalism to investigate the role that left- andright-handed neutrino new-physics (NP) terms may have in $b\to c\tau\bar\nu_\tau$ transitions. We present, for several extensions of theStandard Model (SM), numerical results for the$\Lambda_b\to\Lambda_c\tau\bar\nu_\tau$ semileptonic decay, which is expectedto be measured with precision at the LHCb. This reaction can be a new source ofexperimental information that can help to confirm, or maybe rule out, LFUVpresently seen in $\bar B$ meson decays. The present study analyzes observablesthat can help in distinguishing between different NP scenarios that otherwiseprovide very similar results for the branching ratios, which are our currentlybest hints for LFUV. Since the $\tau$ lepton is very short-lived, we considerthree subsequent $\tau$-decay modes, two hadronic $\pi\nu_\tau$ and$\rho\nu_\tau$ and one leptonic $\mu\bar\nu_\mu\nu_\tau$, which have beenpreviously studied for $\bar B\to D^{(*)}$ decays. Within the tensor formalismthat we have developed in previous works, we re-obtain the expressions for thedifferential decay width written in terms of visible (experimentallyaccessible) variables of the massive particle created in the $\tau$ decay.There are seven different $\tau$ angular and spin asymmetries that are definedin this way and that can be extracted from experiment. Those asymmetriesprovide observables that can help in constraining possible SM extensions.

the journal of high energy physics/the journal of high energy physics

The role of right-handed neutrinos in $b\to c \tau\, (\pi \nu_\tau, \rho  \nu_\tau, \mu \bar \nu_\mu \nu_\tau) \bar\nu_\tau$ from visible final-state  kinematics