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- W3123666734 abstract "The measurement of $R_D$ ($R_{D^*}$), the ratio of the branching fraction of $overline{B} to D tau bar{nu}_tau (overline{B} to D^* tau bar{nu}_tau)$ to that of $overline{B} to D l bar{nu}_l (overline{B} to D^* l bar{nu}_l)$, shows $1.9 sigma$ $(3.3 sigma)$ deviation from its Standard Model (SM) prediction. The combined deviation is at the level of $4 sigma$ according to the Heavy Flavour Averaging Group (HFAG). In this paper, we perform an effective field theory analysis (at the dimension-6 level) of these potential New Physics (NP) signals assuming $rm SU(3)_{C} times SU(2)_{L} times U(1)_{Y}$ gauge invariance. We first show that, in general, $R_D$ and $R_{D^*}$ are theoretically independent observables and hence, their theoretical predictions are not correlated. We identify the operators that can explain the experimental measurements of $R_D$ and $R_{D^*}$ individually and also together. Motivated by the recent measurement of the $tau$ polarisation in $overline{B} to D^* tau bar{nu}_tau$ decay, $P_tau (D^*)$ by the Belle collaboration, we study the impact of a more precise measurement of $P_tau (D^*)$ (and a measurement of $P_tau (D)$) on the various possible NP explanations. Furthermore, we show that the measurement of $R_{D^*}$ in bins of $q^2$, the square of the invariant mass of the lepton-neutrino system, along with the information on $tau$ polarisation and the forward-backward asymmetry of the $tau$ lepton, can completely distinguish the various operator structures. We also provide the full expressions of the double differential decay widths for the individual $tau$ helicities in the presence of all the 10 dimension-6 operators that can contribute to these decays." @default.
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- W3123666734 date "2017-01-01" @default.
- W3123666734 modified "2023-10-17" @default.
- W3123666734 title "A closer look at the R D and R D* anomalies" @default.
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- W3123666734 doi "https://doi.org/10.1007/jhep01(2017)125" @default.
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