Abstract
We update the standard model (SM) predictions of R(D*) using the latest results on the decay distributions in B → D∗ℓνℓ (ℓ = μ, e) by Belle collaboration, while extracting |Vcb| at the same time. Depending on the inputs used in the analysis, we define various fit scenarios. Although the central values of the predicted R(D*) in all the scenarios have reduced from its earlier predictions in 2017, the results are consistent with each other within the uncertainties. In this analysis, our prediction of R(D*) is consistent with the respective world average at ∼ 3σ. We have also predicted several angular observables associated with B → D*τντ decays. We note that the predicted FL(D*) is consistent with the corresponding measurement at 2σ. Utilizing these new results, we fit the Wilson coefficients appearing beyond the standard model of particle physics (BSM). To see the trend of SM predictions, we have used the recently published preliminary results on the form-factors at non-zero recoil by the lattice groups like Fermilab-MILC and JLQCD and predicted the observables in B → D∗ℓνℓ, and B → D*τντ decays.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Alberti, P. Gambino, K.J. Healey and S. Nandi, Precision Determination of the Cabibbo-Kobayashi-Maskawa Element Vcb, Phys. Rev. Lett. 114 (2015) 061802 [arXiv:1411.6560] [INSPIRE].
P. Gambino, K.J. Healey and S. Turczyk, Taming the higher power corrections in semileptonic B decays, Phys. Lett. B 763 (2016) 60 [arXiv:1606.06174] [INSPIRE].
HFLAV collaboration, Averages of b-hadron, c-hadron and τ -lepton properties as of summer 2016, Eur. Phys. J. C 77 (2017) 895 [arXiv:1612.07233] [INSPIRE].
Fermilab Lattice and MILC collaborations, Update of |Vcb| from the \( \overline{B}\to {D}^{\ast}\mathrm{\ell}\overline{\nu } \)form factor at zero recoil with three-flavor lattice QCD, Phys. Rev. D 89 (2014) 114504 [arXiv:1403.0635] [INSPIRE].
MILC collaboration B → Dℓν form factors at nonzero recoil and |Vcb| from 2 + 1-flavor lattice QCD, Phys. Rev. D 92 (2015) 034506 [arXiv:1503.07237] [INSPIRE].
HPQCD collaboration, B → Dlν form factors at nonzero recoil and extraction of |Vcb|, Phys. Rev. D 92 (2015) 054510 [Erratum ibid. 93 (2016) 119906] [arXiv:1505.03925] [INSPIRE].
Belle collaboration, Precise determination of the CKM matrix element |Vcb| with \( {\overline{B}}^0\to {D}^{\ast +}{\mathrm{\ell}}^{-}{\overline{\nu}}_{\mathrm{\ell}} \)decays with hadronic tagging at Belle, arXiv:1702.01521 [INSPIRE].
C. Boyd, B. Grinstein and R.F. Lebed, Precision corrections to dispersive bounds on form-factors, Phys. Rev. D 56 (1997) 6895 [hep-ph/9705252] [INSPIRE].
I. Caprini, L. Lellouch and M. Neubert, Dispersive bounds on the shape of \( \overline{B}\to {D}^{\left(\ast \right)} \)lepton anti-neutrino form-factors, Nucl. Phys. B 530 (1998) 153 [hep-ph/9712417] [INSPIRE].
D. Bigi and P. Gambino, Revisiting B → Dℓν, Phys. Rev. D 94 (2016) 094008 [arXiv:1606.08030] [INSPIRE].
D. Bigi, P. Gambino and S. Schacht, A fresh look at the determination of |Vcb| from B → D∗ℓν, Phys. Lett. B 769 (2017) 441 [arXiv:1703.06124] [INSPIRE].
B. Grinstein and A. Kobach, Model-Independent Extraction of |Vcb| from \( \overline{B}\to {D}^{\ast}\mathrm{\ell}\overline{\nu } \), Phys. Lett. B 771 (2017) 359 [arXiv:1703.08170] [INSPIRE].
F.U. Bernlochner, Z. Ligeti, M. Papucci and D.J. Robinson, Combined analysis of semileptonic B decays to D and D∗ : R(D(∗)), |Vcb| and new physics, Phys. Rev. D 95 (2017) 115008 [Erratum ibid. 97 (2018) 059902] [arXiv:1703.05330] [INSPIRE].
D. Bigi, P. Gambino and S. Schacht, R(D∗ ), |Vcb| and the Heavy Quark Symmetry relations between form factors, JHEP 11 (2017) 061 [arXiv:1707.09509] [INSPIRE].
S. Jaiswal, S. Nandi and S.K. Patra, Extraction of |Vcb| from B → D(∗)ℓνℓ and the Standard Model predictions of R(D(∗)), JHEP 12 (2017) 060 [arXiv:1707.09977] [INSPIRE].
Heavy Flavor Averaging Group, Updates of Semileptonic Results for Spring 2019, https://hflav-eos.web.cern.ch/hflav-eos/semi/spring19/main.shtml (2019).
Belle collaboration, Measurement of the CKM matrix element |Vcb| from B0 → D∗−ℓ+νℓ at Belle, Phys. Rev. D 100 (2019) 052007 [arXiv:1809.03290] [INSPIRE].
P. Gambino, M. Jung and S. Schacht, The Vcb puzzle: An update, Phys. Lett. B 795 (2019) 386 [arXiv:1905.08209] [INSPIRE].
M. Bordone, M. Jung and D. van Dyk, Theory determination of \( \overline{B}\to {D}^{\left(\ast \right)}{\mathrm{\ell}}^{-}\overline{\nu} \)form factors at \( \mathcal{O}\left(1/{m}_c^2\right) \), Eur. Phys. J. C 80 (2020) 74 [arXiv:1908.09398] [INSPIRE].
M. Bordone, N. Gubernari, M. Jung and D. van Dyk, Heavy-Quark Expansion for \( {\overline{B}}_s\to {D}_s^{\left(\ast \right)} \)Form Factors and Unitarity Bounds beyond the SU(3)F Limit, Eur. Phys. J. C 80 (2020) 347 [arXiv:1912.09335] [INSPIRE].
N. Gubernari, A. Kokulu and D. van Dyk, B → P and B → V Form Factors from B-Meson Light-Cone Sum Rules beyond Leading Twist, JHEP 01 (2019) 150 [arXiv:1811.00983] [INSPIRE].
F.U. Bernlochner, Z. Ligeti and D.J. Robinson, N = 5, 6, 7, 8: Nested hypothesis tests and truncation dependence of |Vcb|, Phys. Rev. D 100 (2019) 013005 [arXiv:1902.09553] [INSPIRE].
S. Bhattacharya, S. Nandi and S.K. Patra, Looking for possible new physics in b → D(∗)τντ in light of recent data, Phys. Rev. D 95 (2017) 075012 [arXiv:1611.04605] [INSPIRE].
S. Bhattacharya, S. Nandi and S. Kumar Patra, b → cτντ Decays: a catalogue to compare, constrain and correlate new physics effects, Eur. Phys. J. C 79 (2019) 268 [arXiv:1805.08222] [INSPIRE].
S. Bhattacharya, A. Biswas, S. Nandi and S.K. Patra, Exhaustive model selection in b → sℓℓ decays: Pitting cross-validation against the Akaike information criterion, Phys. Rev. D 101 (2020) 055025 [arXiv:1908.04835] [INSPIRE].
F. Feruglio, P. Paradisi and O. Sumensari, Implications of scalar and tensor explanations of \( {R}_{D^{\left(\ast \right)}} \) , JHEP 11 (2018) 191 [arXiv:1806.10155] [INSPIRE].
Z.-R. Huang, Y. Li, C.-D. Lu, M.A. Paracha and C. Wang, Footprints of New Physics in b → cτν Transitions, Phys. Rev. D 98 (2018) 095018 [arXiv:1808.03565] [INSPIRE].
M. Blanke et al., Impact of polarization observables and Bc → τν on new physics explanations of the b → cτν anomaly, Phys. Rev. D 99 (2019) 075006 [arXiv:1811.09603] [INSPIRE].
C. Murgui, A. Peñuelas, M. Jung and A. Pich, Global fit to b → cτν transitions, JHEP 09 (2019) 103 [arXiv:1904.09311] [INSPIRE].
P. Asadi and D. Shih, Maximizing the Impact of New Physics in b → cτν Anomalies, Phys. Rev. D 100 (2019) 115013 [arXiv:1905.03311] [INSPIRE].
R.-X. Shi, L.-S. Geng, B. Grinstein, S. Jäger and J. Martin Camalich, Revisiting the new-physics interpretation of the b → cτν data, JHEP 12 (2019) 065 [arXiv:1905.08498] [INSPIRE].
Fermilab Lattice and MILC collaborations, The B → D*ℓν Semileptonic Decay at Nonzero Recoil and Its Implications for |Vcb| and R(D*), in 37th International Symposium on Lattice Field Theory, 2019, arXiv:1912.05886 [INSPIRE].
JLQCD collaboration, B → D(*)ℓν form factors from lattice QCD with relativistic heavy quarks, in 37th International Symposium on Lattice Field Theory, (2019) [arXiv:1912.11770] [INSPIRE].
S. Patra, Optex-1.0.0: Wo documentation, 10.5281/zenodo.3404311 (2019).
G. D’Agostini, On the use of the covariance matrix to fit correlated data, Nucl. Instrum. Meth. A 346 (1994) 306 [INSPIRE].
M. Jung and D.M. Straub, Constraining new physics in b → cℓν transitions, JHEP 01 (2019) 009 [arXiv:1801.01112] [INSPIRE].
M. Neubert, Z. Ligeti and Y. Nir, QCD sum rule analysis of the subleading Isgur-Wise form-factor χ2 (ν · ν′), Phys. Lett. B 301 (1993) 101 [hep-ph/9209271] [INSPIRE].
M. Neubert, Z. Ligeti and Y. Nir, The Subleading Isgur-Wise form-factor χ3 (ν · ν′) to order αs in QCD sum rules, Phys. Rev. D 47 (1993) 5060 [hep-ph/9212266] [INSPIRE].
Belle collaboration, Measurement of the τ lepton polarization and R(D*) in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \), Phys. Rev. Lett. 118 (2017) 211801 [arXiv:1612.00529] [INSPIRE].
Belle collaboration, Measurement of the D∗− polarization in the decay B0 → D∗−τ+ντ, in 10th International Workshop on the CKM Unitarity Triangle, (2019) [arXiv:1903.03102] [INSPIRE].
Y. Sakaki, M. Tanaka, A. Tayduganov and R. Watanabe, Testing leptoquark models in \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \), Phys. Rev. D 88 (2013) 094012 [arXiv:1309.0301] [INSPIRE].
S. Faller, A. Khodjamirian, C. Klein and T. Mannel, B → D(*) Form Factors from QCD Light-Cone Sum Rules, Eur. Phys. J. C 60 (2009) 603 [arXiv:0809.0222] [INSPIRE].
V.M. Braun, Y. Ji and A.N. Manashov, Higher-twist B-meson Distribution Amplitudes in HQET, JHEP 05 (2017) 022 [arXiv:1703.02446] [INSPIRE].
Y.-M. Wang, Y.-B. Wei, Y.-L. Shen and C.-D. Lü, Perturbative corrections to B → D form factors in QCD, JHEP 06 (2017) 062 [arXiv:1701.06810] [INSPIRE].
BaBar collaboration, Measurement of an Excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \)Decays and Implications for Charged Higgs Bosons, Phys. Rev. D 88 (2013) 072012 [arXiv:1303.0571] [INSPIRE].
Belle collaboration, Measurement of the branching ratio of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \)relative to \( \overline{B}\to {D}^{\left(\ast \right)}{\mathrm{\ell}}^{-}{\overline{\nu}}_{\mathrm{\ell}} \)decays with hadronic tagging at Belle, Phys. Rev. D 92 (2015) 072014 [arXiv:1507.03233] [INSPIRE].
LHCb collaboration, Measurement of the ratio of branching fractions \( \mathrm{\mathcal{B}}\left({\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau}\right)/\mathrm{\mathcal{B}}\left({\overline{B}}^0\to {D}^{\ast +}{\mu}^{-}{\overline{\nu}}_{\mu}\right) \), Phys. Rev. Lett. 115 (2015) 111803 [Erratum ibid. 115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].
LHCb collaboration, Measurement of the ratio of the B0 → D*−τ+ντ and B0 → D*−μ+νμ branching fractions using three-prong τ-lepton decays, Phys. Rev. Lett. 120 (2018) 171802 [arXiv:1708.08856] [INSPIRE].
Belle collaboration, Measurement of ℛ(D) and ℛ(D*) with a semileptonic tagging method, arXiv:1904.08794 [INSPIRE].
R. Alonso, B. Grinstein and J. Martin Camalich, Lifetime of \( {B}_C^{-} \)Constrains Explanations for Anomalies in B → D(*)τν, Phys. Rev. Lett. 118 (2017) 081802 [arXiv:1611.06676] [INSPIRE].
R.H. Swendsen and J.-S. Wang, Replica monte carlo simulation of spin-glasses, Phys. Rev. Lett. 57 (1986) 2607.
J. Goodman and J. Weare, Ensemble samplers with affine invariance, Commun. Appl. Math. Comput. Sci. 5 (2010) 65.
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2002.05726
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Jaiswal, S., Nandi, S. & Patra, S.K. Updates on extraction of |Vcb| and SM prediction of R(D*) in B → D*ℓνℓ decays. J. High Energ. Phys. 2020, 165 (2020). https://doi.org/10.1007/JHEP06(2020)165
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2020)165