Abstract
We study the \( \overline{B}\to D\left({D}^{\ast}\right){\ell}^{-}{\overline{\nu}}_{\ell } \) decays based on the up-to-date available inputs from experiments and the lattice. First, we review the standard model (SM) predictions of the different observables associated with these decay channels. In the analyses, we consider new physics (NP) effects in the channels with the heavy (τ), as well as the light leptons (μ, e). We have extracted |Vcb| along with the new physics Wilson coefficients (WCs) from the available data on light leptons; the extracted value of |Vcb| is (40.3 ± 0.5) × 10−3. The extracted WCs are consistent with zero, but some could be of order 10−2. Also, we have done the simultaneous analysis of the data in \( \overline{B}\to {D}^{\left(\ast \right)}\left({\mu}^{-},{e}^{-}\right)\overline{\nu} \) alongside the inputs on \( R\left({D}^{\left(\ast \right)}\right)=\frac{\Gamma \left(\overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau}\right)}{\Gamma \left(\overline{B}\to {D}^{\left(\ast \right)}{\ell}^{-}{\overline{\nu}}_{\ell}\right)} \) and the D∗ longitudinal polarisation fraction \( {F}_L^{D^{\ast }} \) in different NP scenarios and extracted |Vcb| which is consistent with the number mentioned above. Also, the simultaneous explanation of R(D(∗)) and \( {F}_L^{D^{\ast }} \) is not possible in the one-operator scenarios. However, the two operator scenarios with \( {\mathcal{O}}_{S_2}^{\tau }=\left({\overline{q}}_R{b}_L\right)\left({\overline{\tau}}_R{\nu}_{\tau L}\right) \) as one of the operators could explain all these three measurements. Finally, we have given predictions of all the related observables in \( \overline{B}\to {D}^{\left(\ast \right)}\left({\tau}^{-},{\mu}^{-},{e}^{-}\right)\overline{\nu} \) decays in the NP scenarios, which could be tested in future experiments. We have repeated this exercise for \( \overline{B}\to \pi {\ell}^{-}{\overline{\nu}}_{\ell } \) decays with the light lepton and extracted |Vub| and the new physics WCs. Finally, using all these available data for the light and heavy leptons, we have given bounds on the couplings of the relevant SM effective field theory (SMEFT) operators and the probable NP scale Λ.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. Gambino, M. Jung and S. Schacht, The Vcb puzzle: an update, Phys. Lett. B 795 (2019) 386 [arXiv:1905.08209] [INSPIRE].
S. Jaiswal, S. Nandi and S.K. Patra, Updates on extraction of |Vcb| and SM prediction of R(D*) in B → D∗ℓνℓ decays, JHEP 06 (2020) 165 [arXiv:2002.05726] [INSPIRE].
D. Leljak, B. Melić and D. van Dyk, The \( \overline{B}\to \pi \) form factors from QCD and their impact on |Vub|, JHEP 07 (2021) 036 [arXiv:2102.07233] [INSPIRE].
A. Biswas, S. Nandi, S.K. Patra and I. Ray, A closer look at the extraction of |Vub| from B → πℓν, JHEP 07 (2021) 082 [arXiv:2103.01809] [INSPIRE].
C. Bobeth et al., Lepton-flavour non-universality of \( \overline{B}\to {D}^{\ast}\ell \overline{\nu} \) angular distributions in and beyond the Standard Model, Eur. Phys. J. C 81 (2021) 984 [arXiv:2104.02094] [INSPIRE].
G. Martinelli, S. Simula and L. Vittorio, Exclusive determinations of Vcb and R(D∗) through unitarity, Eur. Phys. J. C 82 (2022) 1083 [arXiv:2109.15248] [INSPIRE].
G. Martinelli, S. Simula and L. Vittorio, |Vcb| and R(D)(∗)) using lattice QCD and unitarity, Phys. Rev. D 105 (2022) 034503 [arXiv:2105.08674] [INSPIRE].
F.U. Bernlochner, M.F. Sevilla, D.J. Robinson and G. Wormser, Semitauonic b-hadron decays: a lepton flavor universality laboratory, Rev. Mod. Phys. 94 (2022) 015003 [arXiv:2101.08326] [INSPIRE].
G. Martinelli, S. Simula and L. Vittorio, Exclusive semileptonic B → πℓνℓ and Bs → Kℓνℓ decays through unitarity and lattice QCD, JHEP 08 (2022) 022 [arXiv:2202.10285] [INSPIRE].
F.U. Bernlochner, M.T. Prim and D.J. Robinson, B → ρlν¯ and ωlν¯ in and beyond the Standard Model: improved predictions and |Vub|, Phys. Rev. D 104 (2021) 034032 [arXiv:2104.05739] [INSPIRE].
S. Gonzàlez-Solís, P. Masjuan and C. Rojas, Padé approximants to B → πℓνℓ and Bs → Kℓνℓ and determination of |Vub|, Phys. Rev. D 104 (2021) 114041 [arXiv:2110.06153] [INSPIRE].
A. Biswas, S. Nandi and I. Ray, Extractions of |Vub|/|Vcb| from a combined study of the exclusive \( b\to u(c){\ell}^{-}{\overline{\nu}}_{\ell } \) decays, JHEP 07 (2023) 024 [arXiv:2212.02528] [INSPIRE].
Belle collaboration, Measurement of the decay B → Dℓνℓ in fully reconstructed events and determination of the Cabibbo-Kobayashi-Maskawa matrix element |Vcb|, Phys. Rev. D 93 (2016) 032006 [arXiv:1510.03657] [INSPIRE].
Belle collaboration, Precise determination of the CKM matrix element |Vcb| with \( {\overline{B}}^0\to {D}^{\ast +}{\ell}^{-}{\overline{\nu}}_{\ell } \) decays with hadronic tagging at Belle, arXiv:1702.01521 [INSPIRE].
Belle collaboration, Measurement of the CKM matrix element |Vcb| from B0 → D∗−ℓ+νℓ at Belle, Phys. Rev. D 100 (2019) 052007 [Erratum ibid. 103 (2021) 079901] [arXiv:1809.03290] [INSPIRE].
Belle collaboration, Measurement of differential distributions of B → D*ℓν¯ℓ and implications on |Vcb|, Phys. Rev. D 108 (2023) 012002 [arXiv:2301.07529] [INSPIRE].
BaBar collaboration, Study of B → πℓν and B → ρℓν Decays and Determination of Vub , Phys. Rev. D 83 (2011) 032007 [arXiv:1005.3288] [INSPIRE].
Belle collaboration, Measurement of the decay B0 → π−ℓ+ν and determination of |Vub|, Phys. Rev. D 83 (2011) 071101 [arXiv:1012.0090] [INSPIRE].
BaBar collaboration, Branching fraction measurement of B+ → ωℓ+ν decays, Phys. Rev. D 87 (2013) 032004 [Erratum ibid. 87 (2013) 099904] [arXiv:1205.6245] [INSPIRE].
BaBar collaboration, Measurement of the B+ → ωℓ+ν branching fraction with semileptonically tagged B mesons, Phys. Rev. D 88 (2013) 072006 [arXiv:1308.2589] [INSPIRE].
BaBar collaboration, Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of |Vub|, Phys. Rev. D 86 (2012) 092004 [arXiv:1208.1253] [INSPIRE].
Belle collaboration, Study of Exclusive B → Xuℓν Decays and Extraction of ||Vub|| using Full Reconstruction Tagging at the Belle Experiment, Phys. Rev. D 88 (2013) 032005 [arXiv:1306.2781] [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].
Fermilab Lattice and MILC collaborations, Update of |Vcb| from the \( \overline{B}\to {D}^{\ast}\ell \overline{\nu} \) form factor at zero recoil with three-flavor lattice QCD, Phys. Rev. D 89 (2014) 114504 [arXiv:1403.0635] [INSPIRE].
Fermilab Lattice and MILC collaborations, B → πℓℓ form factors for new-physics searches from lattice QCD, Phys. Rev. Lett. 115 (2015) 152002 [arXiv:1507.01618] [INSPIRE].
J.M. Flynn et al., B → πℓν and Bs → Kℓν form factors and |Vub| from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks, Phys. Rev. D 91 (2015) 074510 [arXiv:1501.05373] [INSPIRE].
Fermilab Lattice et al. collaborations, Semileptonic form factors for B → D∗ℓν at nonzero recoil from 2 + 1-flavor lattice QCD: Fermilab Lattice and MILC Collaborations, Eur. Phys. J. C 82 (2022) 1141 [Erratum ibid. 83 (2023) 21] [arXiv:2105.14019] [INSPIRE].
JLQCD collaboration, Form factors of B → πℓν and a determination of |Vub| with Möbius domain-wall fermions, Phys. Rev. D 106 (2022) 054502 [arXiv:2203.04938] [INSPIRE].
JLQCD collaboration, B → D∗ℓνℓ semileptonic form factors from lattice QCD with Möbius domain-wall quarks, arXiv:2306.05657 [INSPIRE].
Average of R(D) and R(D*) for End of 2022, https://hflav-eos.web.cern.ch/hflav-eos/semi/fall22_fixed/html/RDsDsstar/RDRDs.html.
Preliminary average of R(D) and R(D*) for Winter 2023, https://hflav-eos.web.cern.ch/hflav-eos/semi/winter23_prel/html/RDsDsstar/RDRDs.html.
BaBar collaboration, Evidence for an excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) decays, Phys. Rev. Lett. 109 (2012) 101802 [arXiv:1205.5442] [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 \( \overline{B}\to {D}^{\left(\ast \right)}{\ell}^{-}{\overline{\nu}}_{\ell } \) decays with hadronic tagging at Belle, Phys. Rev. D 92 (2015) 072014 [arXiv:1507.03233] [INSPIRE].
Belle collaboration, Measurement of \( \mathcal{R}(D) \) and \( \mathcal{R}\left({D}^{\ast}\right) \) with a semileptonic tagging method, Phys. Rev. Lett. 124 (2020) 161803 [arXiv:1910.05864] [INSPIRE].
LHCb collaboration, Measurement of the ratios of branching fractions \( \mathcal{R}\left({D}^{\ast}\right) \) and \( \mathcal{R}\left({D}^0\right) \), Phys. Rev. Lett. 131 (2023) 111802 [arXiv:2302.02886] [INSPIRE].
D. Bigi and P. Gambino, Revisiting B → Dℓν, Phys. Rev. D 94 (2016) 094008 [arXiv:1606.08030] [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].
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].
M. Bordone, M. Jung and D. van Dyk, Theory determination of \( \overline{B}\to {D}^{\left(\ast \right)}{\ell}^{-}\overline{\nu} \) form factors at \( \mathcal{O}\left(1/{m}_c^2\right) \), Eur. Phys. J. C 80 (2020) 74 [arXiv:1908.09398] [INSPIRE].
Belle collaboration, Measurement of the τ lepton polarization and R(D∗) in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \) with one-prong hadronic τ decays at Belle, Phys. Rev. D 97 (2018) 012004 [arXiv:1709.00129] [INSPIRE].
LHCb collaboration, Test of lepton flavor universality using B0→D*-τ+ντ decays with hadronic τ channels, Phys. Rev. D 108 (2023) 012018 [arXiv:2305.01463] [INSPIRE].
LHCb collaboration, Test of Lepton Flavor Universality by the measurement of the B0 → D∗−τ +ντ branching fraction using three-prong τ decays, Phys. Rev. D 97 (2018) 072013 [arXiv:1711.02505] [INSPIRE].
BaBar collaboration, Extraction of form Factors from a Four-Dimensional Angular Analysis of \( \overline{B}\to {D}^{\ast }{\ell}^{-}{\overline{\nu}}_{\ell } \), Phys. Rev. Lett. 123 (2019) 091801 [arXiv:1903.10002] [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].
Belle collaboration, Measurement of the D∗− polarization in the decay B0 → D∗−τ +ντ, in the proceedings of the 10th International Workshop on the CKM Unitarity Triangle, Heidelberg, Germany, September 17–21 (2018) [arXiv:1903.03102] [INSPIRE].
Z.-R. Huang et al., Footprints of New Physics in b → cτν Transitions, Phys. Rev. D 98 (2018) 095018 [arXiv:1808.03565] [INSPIRE].
B. Henning, X. Lu and H. Murayama, How to use the Standard Model effective field theory, JHEP 01 (2016) 023 [arXiv:1412.1837] [INSPIRE].
E.E. Jenkins, A.V. Manohar and P. Stoffer, Low-Energy Effective Field Theory below the Electroweak Scale: operators and Matching, JHEP 03 (2018) 016 [arXiv:1709.04486] [INSPIRE].
J. Aebischer, A. Crivellin, M. Fael and C. Greub, Matching of gauge invariant dimension-six operators for b → s and b → c transitions, JHEP 05 (2016) 037 [arXiv:1512.02830] [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].
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].
C.G. Boyd, B. Grinstein and R.F. Lebed, Constraints on form-factors for exclusive semileptonic heavy to light meson decays, Phys. Rev. Lett. 74 (1995) 4603 [hep-ph/9412324] [INSPIRE].
C.G. 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].
D. Bečirević, M. Fedele, I. Nišandžić and A. Tayduganov, Lepton Flavor Universality tests through angular observables of \( \overline{B}\to {D}^{\left(\ast \right)}\ell \overline{\nu} \) decay modes, arXiv:1907.02257 [INSPIRE].
A. Bharucha, D.M. Straub and R. Zwicky, B → Vℓ+ℓ− in the Standard Model from light-cone sum rules, JHEP 08 (2016) 098 [arXiv:1503.05534] [INSPIRE].
C. Bourrely, I. Caprini and L. Lellouch, Model-independent description of B → pi l nu decays and a determination of |V(ub)|, Phys. Rev. D 79 (2009) 013008 [Erratum ibid. 82 (2010) 099902] [arXiv:0807.2722] [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].
A. Biswas, L. Mukherjee, S. Nandi and S.K. Patra, Constraining new physics with possible dark matter signatures from a global CKM fit, Phys. Rev. D 107 (2023) 055041 [arXiv:2111.01176] [INSPIRE].
CKM fitter, CKMfitter global fit results as of Spring 21, http://ckmfitter.in2p3.fr/www/results/plots_spring21/num/ckmEval_results_spring21.html.
S. Iguro, T. Kitahara and R. Watanabe, Global fit to b → cτν anomalies 2022 mid-autumn, arXiv:2210.10751 [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].
D. Bardhan and D. Ghosh, B -meson charged current anomalies: the post-Moriond 2019 status, Phys. Rev. D 100 (2019) 011701 [arXiv:1904.10432] [INSPIRE].
M. Fedele et al., Impact of Λb → Λcτν measurement on new physics in b → clν transitions, Phys. Rev. D 107 (2023) 055005 [arXiv:2211.14172] [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].
A. Datta, D. Marfatia and L. Mukherjee, Hint of a new scalar interaction in LHCb data?, arXiv:2305.00614 [INSPIRE].
A. Biswas and S. Nandi, A closer look at observables from exclusive semileptonic B → (π, ρ)ℓνℓ decays, JHEP 09 (2021) 127 [arXiv:2105.01732] [INSPIRE].
R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators III: gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159 [arXiv:1312.2014] [INSPIRE].
M. González-Alonso, J. Martin Camalich and K. Mimouni, Renormalization-group evolution of new physics contributions to (semi)leptonic meson decays, Phys. Lett. B 772 (2017) 777 [arXiv:1706.00410] [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].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence, JHEP 01 (2014) 035 [arXiv:1310.4838] [INSPIRE].
D. Gonçalves, T. Han and S. Mukhopadhyay, Higgs Couplings at High Scales, Phys. Rev. D 98 (2018) 015023 [arXiv:1803.09751] [INSPIRE].
S. Iguro et al., D∗ polarization vs. \( {R}_{D^{\left(\ast \right)}} \) anomalies in the leptoquark models, JHEP 02 (2019) 194 [arXiv:1811.08899] [INSPIRE].
Acknowledgments
We would like to thank Markus Prim, Florian Bernlochner and Syuhei Iguro for some useful communications.
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: 2305.11855
Rights and permissions
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.
About this article
Cite this article
Ray, I., Nandi, S. Test of new physics effects in \( \overline{B}\to \left({D}^{\left(\ast \right)},\pi \right){\ell}^{-}{\overline{\nu}}_{\ell } \) decays with heavy and light leptons. J. High Energ. Phys. 2024, 22 (2024). https://doi.org/10.1007/JHEP01(2024)022
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2024)022