Abstract
Polarization measurements in \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \) are useful to check consistency in new physics explanations for the RD and \( {R}_{D^{*}} \) anomalies. In this paper, we investigate the D* and τ polarizations and focus on the new physics contributions to the fraction of a longitudinal D* polarization (F D *L ), which is recently measured by the Belle collaboration F D *L = 0.60 ± 0.09, in model-independent manner and in each single leptoquark model (R2, S1 and U1) that can naturally explain the \( {R}_{D^{\left(\ast \right)}} \) anomalies. It is found that ℬ(B +c → τ+ν) severely restricts deviation from the Standard Model (SM) prediction of F D *L,SM = 0.46±0.04 in the leptoquark models: [0.43, 0.44], [0.42, 0.48], and [0.43, 0.47] are predicted as a range of F D *L for the R2, S1, and U1 leptoquark models, respectively, where the current data of \( {R}_{D^{\left(\ast \right)}} \) is satisfied at 1σ level. It is also shown that the τ polarization observables can much deviate from the SM predictions. The Belle II experiment, therefore, can check such correlations between \( {R}_{D^{\left(\ast \right)}} \) and the polarization observables, and discriminate among the leptoquark models.
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Iguro, S., Kitahara, T., Omura, Y. et al. D* polarization vs. \( {R}_{D^{\left(\ast \right)}} \) anomalies in the leptoquark models. J. High Energ. Phys. 2019, 194 (2019). https://doi.org/10.1007/JHEP02(2019)194
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DOI: https://doi.org/10.1007/JHEP02(2019)194