B →P and B →V form factors from B-meson light-cone sum rules beyond leading twist
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Abstract
We provide results for the full set of form factors describing semileptonic B-meson transitions to pseudoscalar mesons π, K, \( \overline{D} \) and vector mesons ρ, K∗, \( {\overline{D}}^{\ast } \). Our results are obtained within the framework of QCD Light-Cone Sum Rules with B-meson distribution amplitudes. We recalculate and confirm the results for the leading-twist two-particle contributions in the literature. Furthermore, we calculate and provide new expressions for the two-particle contributions up to twist four. Following new developments for the three-particle distribution amplitudes, we calculate and provide new results for the complete set of three-particle contributions up to twist four. The form factors are computed numerically at several phase space points using up-to-date input parameters, including correlations across phase space points and form factors. We use a model ansatz for all contributing B-meson distribution amplitudes that is self-consistent up to twist-four accuracy. We find that the higher-twist two-particle contributions have a substantial impact on the results, and dominate over the three-particle contributions. Our numerical results, including correlations, are provided as machine-readable files in the supplementary material. We discuss the qualitative phenomenological impact of our results on the present b anomalies.
Keywords
QCD PhenomenologyNotes
Open Access
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Supplementary material
References
- [1]J. Albrecht et al., Future prospects for exploring present day anomalies in flavour physics measurements with Belle II and LHCb, arXiv:1709.10308 [INSPIRE].
- [2]J. Albrecht, S. Reichert and D. van Dyk, Status of rare exclusive B meson decays in 2018, Int. J. Mod. Phys. A 33 (2018) 1830016 [arXiv:1806.05010] [INSPIRE].ADSCrossRefGoogle Scholar
- [3]K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445 [INSPIRE].ADSGoogle Scholar
- [4]D. Bigi, P. Gambino and S. Schacht, R(D ∗), |V cb| and the heavy quark symmetry relations between form factors, JHEP 11 (2017) 061 [arXiv:1707.09509] [INSPIRE].
- [5]M. Jung and D.M. Straub, Constraining new physics in b → cℓν transitions, arXiv:1801.01112 [INSPIRE].
- [6]A. Khodjamirian, T. Mannel and N. Offen, B-meson distribution amplitude from the B→π form-factor, Phys. Lett. B 620 (2005) 52 [hep-ph/0504091] [INSPIRE].
- [7]A. Khodjamirian, T. Mannel and N. Offen, Form-factors from light-cone sum rules with B-meson distribution amplitudes, Phys. Rev. D 75 (2007) 054013 [hep-ph/0611193] [INSPIRE].
- [8]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].
- [9]A. Khodjamirian, T. Mannel, A.A. Pivovarov and Y.M. Wang, Charm-loop effect in B→K (∗) ℓ + ℓ − and B→K ∗ γ, JHEP 09 (2010) 089 [arXiv:1006.4945] [INSPIRE].
- [10]S. Cheng, A. Khodjamirian and J. Virto, B → ππ form factors from light-cone sum rules with B-meson distribution amplitudes, JHEP 05 (2017) 157 [arXiv:1701.01633] [INSPIRE].
- [11]P. Ball and R. Zwicky, New results on B → π, K, η decay formfactors from light-cone sum rules, Phys. Rev. D 71 (2005) 014015 [hep-ph/0406232] [INSPIRE].
- [12]P. Ball and R. Zwicky, B d,s → ρ, ω, K ∗ , \( \phi \) decay form-factors from light-cone sum rules revisited, Phys. Rev. D 71 (2005) 014029 [hep-ph/0412079] [INSPIRE].
- [13]A. Khodjamirian, C. Klein, T. Mannel and N. Offen, Semileptonic charm decays D → πℓν ℓ and D → Kℓν ℓ from QCD light-cone sum rules, Phys. Rev. D 80 (2009) 114005 [arXiv:0907.2842] [INSPIRE].
- [14]A. Khodjamirian, T. Mannel, N. Offen and Y.M. Wang, B → πℓν l width and |V ub| from QCD light-cone sum rules, Phys. Rev. D 83 (2011) 094031 [arXiv:1103.2655] [INSPIRE].
- [15]A. Bharucha, Two-loop corrections to the B → π form factor from QCD sum rules on the light-cone and |V ub|, JHEP 05 (2012) 092 [arXiv:1203.1359] [INSPIRE].
- [16]I. Sentitemsu Imsong, A. Khodjamirian, T. Mannel and D. van Dyk, Extrapolation and unitarity bounds for the B → π form factor, JHEP 02 (2015) 126 [arXiv:1409.7816] [INSPIRE].
- [17]A. Bharucha, D.M. Straub and R. Zwicky, B → V ℓ + ℓ − in the standard model from light-cone sum rules, JHEP 08 (2016) 098 [arXiv:1503.05534] [INSPIRE].
- [18]A. Khodjamirian and A.V. Rusov, B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements, JHEP 08 (2017) 112 [arXiv:1703.04765] [INSPIRE].
- [19]F. De Fazio, T. Feldmann and T. Hurth, Light-cone sum rules in soft-collinear effective theory, Nucl. Phys. B 733 (2006) 1 [Erratum ibid. B 800 (2008) 405] [hep-ph/0504088] [INSPIRE].
- [20]F. De Fazio, T. Feldmann and T. Hurth, SCET sum rules for B → P and B → V transition form factors, JHEP 02 (2008) 031 [arXiv:0711.3999] [INSPIRE].
- [21]Y.-M. Wang and Y.-L. Shen, QCD corrections to B → π form factors from light-cone sum rules, Nucl. Phys. B 898 (2015) 563 [arXiv:1506.00667] [INSPIRE].
- [22]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].
- [23]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].ADSCrossRefGoogle Scholar
- [24]B. Geyer and O. Witzel, B-meson distribution amplitudes of geometric twist vs. dynamical twist, Phys. Rev. D 72 (2005) 034023 [hep-ph/0502239] [INSPIRE].
- [25]H. Kawamura, J. Kodaira, C.-F. Qiao and K. Tanaka, Transverse momentum distribution in B mesons in the heavy quark limit: the Wandzura-Wilczek part, Mod. Phys. Lett. A 18 (2003) 799 [hep-ph/0112174] [INSPIRE].
- [26]S. Faller et al., Disentangling the Decay Observables in \( {B}^{-}\to {\pi}^{+}{\pi}^{-}{\ell}^{-}{\overline{\nu}}_{\ell } \), Phys. Rev. D 89 (2014) 014015 [arXiv:1310.6660] [INSPIRE].
- [27]X.-W. Kang, B. Kubis, C. Hanhart and U.-G. Meissner, B l4 decays and the extraction of |V ub|, Phys. Rev. D 89 (2014) 053015 [arXiv:1312.1193] [INSPIRE].
- [28]C. Hambrock and A. Khodjamirian, Form factors in \( {\overline{B}}^0\to \pi \pi \ell {\overline{\nu}}_{\ell } \) from QCD light-cone sum rules, Nucl. Phys. B 905 (2016) 373 [arXiv:1511.02509] [INSPIRE].
- [29]P. Böer, T. Feldmann and D. van Dyk, QCD factorization theorem for B → ππℓν decays at large dipion masses, JHEP 02 (2017) 133 [arXiv:1608.07127] [INSPIRE].
- [30]S. Cheng, A. Khodjamirian and J. Virto, Timelike-helicity B → ππ form factor from light-cone sum rules with dipion distribution amplitudes, Phys. Rev. D 96 (2017) 051901 [arXiv:1709.00173] [INSPIRE].
- [31]T. Feldmann, D. Van Dyk and K.K. Vos, Revisiting B → ππℓν at large dipion masses, JHEP 10 (2018) 030 [arXiv:1807.01924] [INSPIRE].
- [32]U.-G. Meissner and W. Wang, \( {B}_s\to {K}^{\left(\ast \right)}\ell \overline{\nu} \) , angular analysis, S-wave contributions and |V ub|, JHEP 01 (2014) 107 [arXiv:1311.5420] [INSPIRE].
- [33]U.-G. Meissner and W. Wang, Generalized heavy-to-light form factors in light-cone sum rules, Phys. Lett. B 730 (2014) 336 [arXiv:1312.3087] [INSPIRE].
- [34]D. Das, G. Hiller, M. Jung and A. Shires, The \( \overline{B}\to \overline{K}\pi \ell \ell \) and \( {\overline{B}}_s\to \overline{K}K\ell \ell \) distributions at low hadronic recoil, JHEP 09 (2014) 109 [arXiv:1406.6681] [INSPIRE].
- [35]T. Feldmann, B. Müller and D. van Dyk, Analyzing b → u transitions in semileptonic \( {\overline{B}}_s\to {K}^{\ast +}\left(\to K\pi \right){\ell}^{-}{\overline{\nu}}_{\ell } \) decays, Phys. Rev. D 92 (2015) 034013 [arXiv:1503.09063] [INSPIRE].
- [36]S. Descotes-Genon, A. Khodjamirian and J. Virto, Light-cone sum rules for B → Kπ form factors and applications to rare decays, to appear.Google Scholar
- [37]S. Descotes-Genon, A. Khodjamirian, J. Virto and K. K. Vos, Light-cone sum rules for S-wave B → M 1 M 2 form factors, work in progress.Google Scholar
- [38]W.-F. Wang, H.-n. Li, W. Wang and C.-D. Lü, S-wave resonance contributions to the B ( s)0 → J/ψπ + π − and B s → π + π − μ + μ − decays, Phys. Rev. D 91 (2015) 094024 [arXiv:1502.05483] [INSPIRE].
- [39]S. Kränkl, T. Mannel and J. Virto, Three-body non-leptonic B decays and QCD factorization, Nucl. Phys. B 899 (2015) 247 [arXiv:1505.04111] [INSPIRE].
- [40]J.T. Daub, C. Hanhart and B. Kubis, A model-independent analysis of final-state interactions in \( {\overline{B}}_{d/s}^0\to J/\psi \pi \pi \), JHEP 02 (2016) 009 [arXiv:1508.06841] [INSPIRE].
- [41]H.-Y. Cheng, C.-K. Chua and Z.-Q. Zhang, Direct CP-violation in charmless three-body decays of B mesons, Phys. Rev. D 94 (2016) 094015 [arXiv:1607.08313] [INSPIRE].
- [42]W.-F. Wang and H.-n. Li, Quasi-two-body decays B → Kρ → Kππ in perturbative QCD approach, Phys. Lett. B 763 (2016) 29 [arXiv:1609.04614] [INSPIRE].
- [43]M. Albaladejo et al., How to employ \( {\overline{B}}_d^0\to J/\psi \left(\pi \eta,\ \overline{K}K\right) \) decays to extract information on πη scattering, JHEP 04 (2017) 010 [arXiv:1611.03502] [INSPIRE].
- [44]R. Klein, T. Mannel, J. Virto and K.K. Vos, CP violation in multibody B decays from QCD factorization, JHEP 10 (2017) 117 [arXiv:1708.02047] [INSPIRE].ADSCrossRefGoogle Scholar
- [45]I.I. Balitsky and V.M. Braun, Nonlocal operator expansion for structure functions of e + e − annihilation, Phys. Lett. B 222 (1989) 123 [INSPIRE].
- [46]D. van Dyk et al., EOS release v0.2.3, https://github.com/eos/eos/releases/tag/v0.2.3.
- [47]D. van Dyk et al., EOS — A HEP program for flavor observables (2018).Google Scholar
- [48]M. Beneke, V.M. Braun, Y. Ji and Y.-B. Wei, Radiative leptonic decay B → γℓν ℓ with subleading power corrections, JHEP 07 (2018) 154 [arXiv:1804.04962] [INSPIRE].
- [49]A. Bazavov et al., B- and D-meson leptonic decay constants from four-flavor lattice QCD, Phys. Rev. D 98 (2018) 074512 [arXiv:1712.09262] [INSPIRE].
- [50]T. Nishikawa and K. Tanaka, QCD sum rules for quark-gluon three-body components in the B meson, Nucl. Phys. B 879 (2014) 110 [arXiv:1109.6786] [INSPIRE].
- [51]M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and resonance physics. Theoretical foundations, Nucl. Phys. B 147 (1979) 385 [INSPIRE].
- [52]P. Colangelo and A. Khodjamirian, QCD sum rules, a modern perspective, hep-ph/0010175 [INSPIRE].
- [53]A. Khodjamirian, T. Mannel and M. Melcher, Flavor SU(3) symmetry in charmless B decays, Phys. Rev. D 68 (2003) 114007 [hep-ph/0308297] [INSPIRE].
- [54]S. Aoki et al., Review of lattice results concerning low-energy particle physics, Eur. Phys. J. C 77 (2017) 112 [arXiv:1607.00299] [INSPIRE].
- [55]HPQCD, UKQCD collaboration, High Precision determination of the pi, K, D and D s decay constants from lattice QCD, Phys. Rev. Lett. 100 (2008) 062002 [arXiv:0706.1726] [INSPIRE].
- [56]MILC collaboration, Results for light pseudoscalar mesons, PoS(LATTICE 2010) 074 [arXiv:1012.0868] [INSPIRE].
- [57]RBC, UKQCD collaboration, Domain wall QCD with near-physical pions, Phys. Rev. D 87 (2013) 094514 [arXiv:1208.4412] [INSPIRE].
- [58]R.J. Dowdall, C.T.H. Davies, G.P. Lepage and C. McNeile, Vus from π and K decay constants in full lattice QCD with physical u, d, s and c quarks, Phys. Rev. D 88 (2013) 074504 [arXiv:1303.1670] [INSPIRE].
- [59]N. Carrasco et al., Leptonic decay constants f K , f D , and f Ds with N f = 2 + 1 + 1 twisted-mass lattice QCD, Phys. Rev. D 91 (2015) 054507 [arXiv:1411.7908] [INSPIRE].
- [60]Fermilab Lattice, MILC collaboration, Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks, Phys. Rev. D 90 (2014) 074509 [arXiv:1407.3772] [INSPIRE].
- [61]P. Gelhausen, A. Khodjamirian, A.A. Pivovarov and D. Rosenthal, Decay constants of heavy-light vector mesons from QCD sum rules, Phys. Rev. D 88 (2013) 014015 [Erratum ibid. D 89 (2014) 099901] [arXiv:1305.5432] [INSPIRE].
- [62]V. Braun, private communications.Google Scholar
- [63]C.-D. Lü, Y.-L. Shen, Y.-M. Wang and Y.-B. Wei, QCD calculations of B → π, K form factors with higher-twist corrections, arXiv:1810.00819 [INSPIRE].
- [64]HPQCD collaboration, Rare decay B → Kℓ + ℓ − form factors from lattice QCD, Phys. Rev. D 88 (2013) 054509 [Erratum ibid. D 88 (2013) 079901] [arXiv:1306.2384] [INSPIRE].
- [65]R.R. Horgan, Z. Liu, S. Meinel and M. Wingate, Lattice QCD calculation of form factors describing the rare decays B → K ∗ ℓ + ℓ − and B s → \( \phi \) ℓ + ℓ −, Phys. Rev. D 89 (2014) 094501 [arXiv:1310.3722] [INSPIRE].
- [66]Fermilab Lattice, MILC collaboration, 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].
- [67]R.R. Horgan, Z. Liu, S. Meinel and M. Wingate, Rare B decays using lattice QCD form factors, PoS LATTICE2014 (2015) 372 [arXiv:1501.00367] [INSPIRE].
- [68]HPQCD collaboration, B → Dlν form factors at nonzero recoil and extraction of |V cb|, Phys. Rev. D 92 (2015) 054510 [Erratum ibid. D 93 (2016) 119906] [arXiv:1505.03925] [INSPIRE].
- [69]Fermilab Lattice, MILC collaboration, |V ub| from B → πℓν decays and (2 + 1)-flavor lattice QCD, Phys. Rev. D 92 (2015) 014024 [arXiv:1503.07839] [INSPIRE].
- [70]HPQCD collaboration, Lattice QCD calculation of the B (s) → D ( s)* ℓν form factors at zero recoil and implications for |V cb|, Phys. Rev. D 97 (2018) 054502 [arXiv:1711.11013] [INSPIRE].
- [71]D.M. Straub, flavio: a Python package for flavour and precision phenomenology in the Standard Model and beyond, arXiv:1810.08132 [INSPIRE].
- [72]W. Detmold, C. Lehner and S. Meinel, \( {\varLambda}_b\to p{\ell}^{-}{\overline{\nu}}_{\ell } \) and \( {\varLambda}_b\to\ {\varLambda}_c{\ell}^{-}{\overline{\nu}}_{\ell } \) form factors from lattice QCD with relativistic heavy quarks, Phys. Rev. D 92 (2015) 034503 [arXiv:1503.01421] [INSPIRE].
- [73]LHCb collaboration, Differential branching fractions and isospin asymmetries of B→K (∗) μ + μ − decays, JHEP 06 (2014) 133 [arXiv:1403.8044] [INSPIRE].
- [74]LHCb collaboration, Angular analysis and differential branching fraction of the decay B s0 → ϕμ + μ −, JHEP 09 (2015) 179 [arXiv:1506.08777] [INSPIRE].
- [75]LHCb collaboration, Measurements of the S-wave fraction in B 0 → K + π − μ + μ − decays and the B 0 → K ∗(892)0 μ + μ − differential branching fraction, JHEP 11 (2016) 047 [Erratum ibid. 04 (2017) 142] [arXiv:1606.04731] [INSPIRE].
- [76]LHCb collaboration, Differential branching fraction and angular analysis of Λb0 → Λμ + μ − decays, JHEP 06 (2015) 115 [Erratum ibid. 09 (2018) 145] [arXiv:1503.07138] [INSPIRE].
- [77]LHCb collaboration, Angular analysis of the B 0 → K ∗0 μ + μ − decay using 3 fb −1 of integrated luminosity, JHEP 02 (2016) 104 [arXiv:1512.04442] [INSPIRE].
- [78]CMS collaboration, Angular analysis of the decay B 0 → K ∗0 μ+μ− from pp collisions at \( \sqrt{s}=8 \) TeV, Phys. Lett. B 753 (2016) 424 [arXiv:1507.08126] [INSPIRE].
- [79]ATLAS collaboration, Angular analysis of B d0 → K ∗ μ + μ − decays in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 10 (2018) 047 [arXiv:1805.04000] [INSPIRE].
- [80]LHCb collaboration, Test of lepton universality using B + → K + ℓ + ℓ − decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
- [81]LHCb collaboration, Test of lepton universality with B 0 → K ∗0 ℓ + ℓ − decays, JHEP 08 (2017) 055 [arXiv:1705.05802] [INSPIRE].
- [82]S. Descotes-Genon, J. Matias and J. Virto, Understanding the B → K ∗ μ + μ − anomaly, Phys. Rev. D 88 (2013) 074002 [arXiv:1307.5683] [INSPIRE].
- [83]W. Altmannshofer and D.M. Straub, New physics in B → K ∗ μμ?, Eur. Phys. J. C 73 (2013) 2646 [arXiv:1308.1501] [INSPIRE].
- [84]F. Beaujean, C. Bobeth and D. van Dyk, Comprehensive Bayesian analysis of rare (semi)leptonic and radiative B decays, Eur. Phys. J. C 74 (2014) 2897 [Erratum ibid. C 74 (2014) 3179] [arXiv:1310.2478] [INSPIRE].
- [85]T. Hurth and F. Mahmoudi, On the LHCb anomaly in B → K ∗ ℓ + ℓ −, JHEP 04 (2014) 097 [arXiv:1312.5267] [INSPIRE].
- [86]S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, Global analysis of b → sℓℓ anomalies, JHEP 06 (2016) 092 [arXiv:1510.04239] [INSPIRE].
- [87]W. Altmannshofer, C. Niehoff, P. Stangl and D.M. Straub, Status of the B → K ∗ μ + μ − anomaly after Moriond 2017, Eur. Phys. J. C 77 (2017) 377 [arXiv:1703.09189] [INSPIRE].
- [88]W. Altmannshofer, P. Stangl and D.M. Straub, Interpreting hints for lepton flavor universality violation, Phys. Rev. D 96 (2017) 055008 [arXiv:1704.05435] [INSPIRE].
- [89]B. Capdevila et al., Patterns of new physics in b → sℓ + ℓ − transitions in the light of recent data, JHEP 01 (2018) 093 [arXiv:1704.05340] [INSPIRE].
- [90]L.-S. Geng et al., Towards the discovery of new physics with lepton-universality ratios of b→sℓℓ decays, Phys. Rev. D 96 (2017) 093006 [arXiv:1704.05446] [INSPIRE].
- [91]M. Ciuchini et al., On flavourful easter eggs for new physics hunger and lepton flavour universality violation, Eur. Phys. J. C 77 (2017) 688 [arXiv:1704.05447] [INSPIRE].
- [92]F. Mahmoudi, T. Hurth and S. Neshatpour, Updated fits to the present b → sℓ + ℓ − data, Acta Phys. Polon. B 49 (2018) 1267 [INSPIRE].
- [93]G. Hiller and F. Krüger, More model-independent analysis of b → s processes, Phys. Rev. D 69 (2004) 074020 [hep-ph/0310219] [INSPIRE].
- [94]C. Bobeth, G. Hiller and G. Piranishvili, Angular distributions of \( \overline{B}\to \overline{K}{\ell}^{+}{\ell}^{-} \) decays, JHEP 12 (2007) 040 [arXiv:0709.4174] [INSPIRE].
- [95]M. Bordone, G. Isidori and A. Pattori, On the standard model predictions for R K and R K∗ , Eur. Phys. J. C 76 (2016) 440 [arXiv:1605.07633] [INSPIRE].
- [96]J. Charles et al., Heavy to light form-factors in the heavy mass to large energy limit of QCD, Phys. Rev. D 60 (1999) 014001 [hep-ph/9812358] [INSPIRE].
- [97]M. Beneke and T. Feldmann, Symmetry breaking corrections to heavy to light B meson form-factors at large recoil, Nucl. Phys. B 592 (2001) 3 [hep-ph/0008255] [INSPIRE].
- [98]C. Bobeth, M. Chrzaszcz, D. van Dyk and J. Virto, Long-distance effects in B → K ∗ ℓℓ from analyticity, Eur. Phys. J. C 78 (2018) 451 [arXiv:1707.07305] [INSPIRE].
- [99]R.R. Horgan, Z. Liu, S. Meinel and M. Wingate, Calculation of B 0 → K ∗0 μ + μ − and B s0 → ϕμ + μ − observables using form factors from lattice QCD, Phys. Rev. Lett. 112 (2014) 212003 [arXiv:1310.3887] [INSPIRE].
- [100]C.G. Boyd, B. Grinstein and R.F. Lebed, Model independent extraction of |V cb| using dispersion relations, Phys. Lett. B 353 (1995) 306 [hep-ph/9504235] [INSPIRE].
- [101]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].
- [102]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].
- [103]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 [Erratum ibid. D 97 (2018) 059902] [arXiv:1703.05330] [INSPIRE].
- [104]A.G. Grozin and M. Neubert, Asymptotics of heavy meson form-factors, Phys. Rev. D 55 (1997) 272 [hep-ph/9607366] [INSPIRE].