Abstract
Stringent relations between the B(∗) → D(∗) form factors exist in the heavy quark limit and the leading symmetry breaking corrections are known. We reconsider their uncertainty and role in the analysis of recent Belle data for B → D(∗)ℓν with model-independent parametrizations and in the related prediction of R(D(∗)). We find |Vcb| = 41.5(1.3) 10−3 and |Vcb| = 40.6( + 1.2− 1.3 ) 10−3 using input from Light Cone Sum Rules, and R(D∗) = 0.260(8).
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References
Y. Amhis et al., Averages of b-hadron, c-hadron and τ -lepton properties as of summer 2016, arXiv:1612.07233 [INSPIRE].
MILC collaboration, J.A. Bailey et al., B → Dℓν form factors at nonzero recoil and |V cb| from 2 + 1-flavor lattice QCD, Phys. Rev. D 92 (2015) 034506 [arXiv:1503.07237] [INSPIRE].
HPQCD collaboration, H. Na, C.M. Bouchard, G.P. Lepage, C. Monahan and J. Shigemitsu, B → Dlν form factors at nonzero recoil and extraction of |V cb|, Phys. Rev. D 92 (2015) 054510 [arXiv:1505.03925] [INSPIRE].
Belle collaboration, R. Glattauer et al., Measurement of the decay B → Dℓν ℓ in fully reconstructed events and determination of the Cabibbo-Kobayashi-Maskawa matrix element |V cb|, Phys. Rev. D 93 (2016) 032006 [arXiv:1510.03657] [INSPIRE].
D. Bigi and P. Gambino, Revisiting B → Dℓν, Phys. Rev. D 94 (2016) 094008 [arXiv:1606.08030] [INSPIRE].
S. Aoki et al., Review of lattice results concerning low-energy particle physics, Eur. Phys. J. C 77 (2017) 112 [arXiv:1607.00299] [INSPIRE].
A. Alberti, P. Gambino, K.J. Healey and S. Nandi, Precision Determination of the Cabibbo-Kobayashi-Maskawa Element V cb , 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].
Fermilab Lattice, MILC collaborations, J.A. Bailey et al., Update of |V cb| 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].
J. Harrison, C. Davies and M. Wingate, |Vcb| from the \( {\overline{\mathrm{B}}}^0\to {D^{\ast}}^{+}{\ell}^{-}\overline{\nu} \) zero-recoil form factor using 2 + 1 + 1 flavour HISQ and NRQCD, PoS(LATTICE2016)287 [arXiv:1612.06716] [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].
Belle collaboration, A. Abdesselam et al., Precise determination of the CKM matrix element |Vcb| with \( {\overline{\mathrm{B}}}^0\to {D^{\ast}}^{+}{\ell}^{-}{\overline{\nu}}_{\ell } \) decays with hadronic tagging at Belle, arXiv:1702.01521 [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. Bigi, P. Gambino and S. Schacht, A fresh look at the determination of |V cb| from B → D ∗ℓν, Phys. Lett. B 769 (2017) 441 [arXiv:1703.06124] [INSPIRE].
B. Grinstein and A. Kobach, Model-Independent Extraction of |V cb| from \( \overline{B}\to {D}^{\ast}\ell \overline{\nu} \), Phys. Lett. B 771 (2017) 359 [arXiv:1703.08170] [INSPIRE].
S. Jaiswal, S. Nandi and S.K. Patra, Extraction of |V cb| from B → D (∗)ℓν ℓ and the Standard Model predictions of R(D (∗)), arXiv:1707.09977 [INSPIRE].
M. Neubert, Heavy quark symmetry, Phys. Rept. 245 (1994) 259 [hep-ph/9306320] [INSPIRE].
M.E. Luke, Effects of subleading operators in the heavy quark effective theory, Phys. Lett. B 252 (1990) 447 [INSPIRE].
M. Neubert and V. Rieckert, New approach to the universal form-factors in decays of heavy mesons, Nucl. Phys. B 382 (1992) 97 [INSPIRE].
F.U. Bernlochner, Z. Ligeti, M. Papucci and D.J. Robinson, Combined analysis of semileptonic B decays to D and D ∗: R(D (∗)), |V cb| and new physics, Phys. Rev. D 95 (2017) 115008 [arXiv:1703.05330] [INSPIRE].
M. Neubert, Z. Ligeti and Y. Nir, QCD sum rule analysis of the subleading Isgur-Wise form-factor χ2(v · v′), Phys. Lett. B 301 (1993) 101 [hep-ph/9209271] [INSPIRE].
M. Neubert, Z. Ligeti and Y. Nir, The subleading Isgur-Wise form-factor χ 3(v · v ′) to order α s in QCD sum rules, Phys. Rev. D 47 (1993) 5060 [hep-ph/9212266] [INSPIRE].
Z. Ligeti, Y. Nir and M. Neubert, The Subleading Isgur-Wise form-factor ξ3(v · v ′) and its implications for the decays \( \overline{B}\to {D}^{\left(\ast \right)}\ell \overline{\nu} \), Phys. Rev. D 49 (1994) 1302 [hep-ph/9305304] [INSPIRE].
B. Grinstein and Z. Ligeti, Heavy quark symmetry in \( B\to {D}^{\left(\ast \right)}l\overline{\nu} \) spectra, Phys. Lett. B 526 (2002) 345 [Erratum ibid. B 601 (2004) 236] [hep-ph/0111392] [INSPIRE].
N. Uraltsev, A ‘BPS’ expansion for B and D mesons, Phys. Lett. B 585 (2004) 253 [hep-ph/0312001] [INSPIRE].
P. Gambino, T. Mannel and N. Uraltsev, B → D ∗ Zero-Recoil Formfactor and the Heavy Quark Expansion in QCD: A Systematic Study, JHEP 10 (2012) 169 [arXiv:1206.2296] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
R.J. Dowdall, C.T.H. Davies, T.C. Hammant and R.R. Horgan, Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea, Phys. Rev. D 86 (2012) 094510 [arXiv:1207.5149] [INSPIRE].
HPQCD collaboration, B. Colquhoun et al., B-meson decay constants: a more complete picture from full lattice QCD, Phys. Rev. D 91 (2015) 114509 [arXiv:1503.05762] [INSPIRE].
S.M. Ikhdair, On the B c leptonic decay constant, hep-ph/0504107 [INSPIRE].
A.K. Rai and N. Devlani, Mass Spectrum and decay properties of the B c meson, PoS(Hadron 2013)045 [INSPIRE].
E.J. Eichten and C. Quigg, Mesons with beauty and charm: Spectroscopy, Phys. Rev. D 49 (1994) 5845 [hep-ph/9402210] [INSPIRE].
S. Godfrey, Spectroscopy of B c mesons in the relativized quark model, Phys. Rev. D 70 (2004) 054017 [hep-ph/0406228] [INSPIRE].
C. McNeile, C.T.H. Davies, E. Follana, K. Hornbostel and G.P. Lepage, Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD, Phys. Rev. D 86 (2012) 074503 [arXiv:1207.0994] [INSPIRE].
J. Grigo, J. Hoff, P. Marquard and M. Steinhauser, Moments of heavy quark correlators with two masses: exact mass dependence to three loops, Nucl. Phys. B 864 (2012) 580 [arXiv:1206.3418] [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].
F.U. Bernlochner, Z. Ligeti, M. Papucci and D.J. Robinson, Tensions and correlations in |V cb| determinations, arXiv:1708.07134 [INSPIRE].
A. Vaquero, \( \overline{B}\to {D}^{\star}\ell \overline{\nu} \) at non-zero recoil, talk at Lattice 2017, Granada, 19 June 2017.
S. Fajfer, J.F. Kamenik and I. Nisandzic, On the \( B\to {D}^{\ast}\tau {\overline{\nu}}_{\tau } \) Sensitivity to New Physics, Phys. Rev. D 85 (2012) 094025 [arXiv:1203.2654] [INSPIRE].
M. Tanaka, Charged Higgs effects on exclusive semitauonic B decays, Z. Phys. C 67 (1995) 321 [hep-ph/9411405] [INSPIRE].
A. Celis, M. Jung, X.-Q. Li and A. Pich, Sensitivity to charged scalars in B → D (∗) τ ν τ and B →τν τ decays, JHEP 01 (2013) 054 [arXiv:1210.8443] [INSPIRE].
M. Tanaka and R. Watanabe, New physics in the weak interaction of \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \), Phys. Rev. D 87 (2013) 034028 [arXiv:1212.1878] [INSPIRE].
Belle collaboration, S. Hirose et al., 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, S. Hirose et al., 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, arXiv:1709.00129 [INSPIRE].
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Bigi, D., Gambino, P. & Schacht, S. R(D∗), |Vcb|, and the Heavy Quark Symmetry relations between form factors. J. High Energ. Phys. 2017, 61 (2017). https://doi.org/10.1007/JHEP11(2017)061
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DOI: https://doi.org/10.1007/JHEP11(2017)061