Abstract
We perform the first calculation of form factors in the semileptonic decays B → D1(2420)ℓνℓ and B → \( {D}_1^{\prime } \)(2430)ℓνℓ using QCD light-cone sum rules (LCSRs) with B-meson distribution amplitudes. In this calculation the c-quark mass is finite. Analytical expressions for two-particle contributions up to twist four are obtained. To disentangle the D1 and \( {D}_1^{\prime } \) contributions in the LCSRs, we suggest a novel approach that introduces a combination of two interpolating currents for these charmed mesons. To fix all the parameters in the LCSRs, we use the two-point QCD sum rules for the decay constants of D1 and \( {D}_1^{\prime } \) mesons augmented by a single experimental input, that is the B → D1(2420)ℓνℓ decay width. We provide numerical results for all B → D1 and B → \( {D}_1^{\prime } \) form factors. As a byproduct, we also obtain the D1- and \( {D}_1^{\prime } \)-meson decay constants and predict the lepton-flavour universality ratios R(D1) and R(\( {D}_1^{\prime } \)).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. Gambino et al., Challenges in semileptonic B decays, Eur. Phys. J. C 80 (2020) 966 [arXiv:2006.07287] [INSPIRE].
Y. Aoki et al., FLAG Review 2021, arXiv:2111.09849 [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].
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].
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].
Particle Data collaboration, Review of Particle Physics, Prog. Theor. Exp. Phys. 2020 (2020) 083C01 [INSPIRE].
N. Isgur and M.B. Wise, Spectroscopy with heavy quark symmetry, Phys. Rev. Lett. 66 (1991) 1130 [INSPIRE].
M. Lu, M.B. Wise and N. Isgur, Heavy quark symmetry and D1(2420) → D*π decay, Phys. Rev. D 45 (1992) 1553 [INSPIRE].
R. Klein, T. Mannel, F. Shahriaran and D. van Dyk, 1/m Corrections for Orbitally Excited Heavy Mesons and the 1/2–3/2 Puzzle, Phys. Rev. D 91 (2015) 094034 [arXiv:1503.00569] [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and Resonance Physics. Theoretical Foundations, Nucl. Phys. B 147 (1979) 385 [INSPIRE].
P. Colangelo, G. Nardulli and N. Paver, Semileptonic B decays into charmed p wave mesons and the heavy quark symmetry, Phys. Lett. B 293 (1992) 207 [INSPIRE].
P. Colangelo, F. De Fazio and N. Paver, Universal τ1/2(y) Isgur-Wise function at the next-to-leading order in QCD sum rules, Phys. Rev. D 58 (1998) 116005 [hep-ph/9804377] [INSPIRE].
Y.-B. Dai, C.-S. Huang, M.-Q. Huang and C. Liu, QCD sum rules for masses of excited heavy mesons, Phys. Lett. B 390 (1997) 350 [hep-ph/9609436] [INSPIRE].
Y.-B. Dai and M.-Q. Huang, Semileptonic B decays into excited charmed mesons from QCD sum rules, Phys. Rev. D 59 (1999) 034018 [hep-ph/9807461] [INSPIRE].
P. Colangelo, G. Nardulli, A.A. Ovchinnikov and N. Paver, Semileptonic B decays into positive parity charmed mesons, Phys. Lett. B 269 (1991) 201 [INSPIRE].
V.L. Eletsky, On the mass splitting between axial and vector heavy-light mesons, Phys. Atom. Nucl. 59 (1996) 2002 [Yad. Fiz. 59N11 (1996) 2077] [hep-ph/9508364] [INSPIRE].
I.I. Balitsky, V.M. Braun and A.V. Kolesnichenko, Σ+ → Pγ Decay in QCD (in Russian), Sov. J. Nucl. Phys. 44 (1986) 1028 [Yad. Fiz. 44 (1986) 1582] [INSPIRE].
I.I. Balitsky, V.M. Braun and A.V. Kolesnichenko, Radiative Decay σ+ → pγ in Quantum Chromodynamics, Nucl. Phys. B 312 (1989) 509 [INSPIRE].
V.L. Chernyak and I.R. Zhitnitsky, B meson exclusive decays into baryons, Nucl. Phys. B 345 (1990) 137 [INSPIRE].
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].
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].
P. Colangelo and A. Khodjamirian, QCD sum rules, a modern perspective, in At The Frontier of Particle Physics, M. Shifman ed., World Scientific, Singapore (2001), pp. 1495–1576 [hep-ph/0010175] [INSPIRE].
C. Bruch, A. Khodjamirian and J.H. Kühn, Modeling the pion and kaon form factors in the timelike region, Eur. Phys. J. C 39 (2005) 41 [hep-ph/0409080] [INSPIRE].
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].
P. Gelhausen, A. Khodjamirian, A.A. Pivovarov and D. Rosenthal, Radial excitations of heavy-light mesons from QCD sum rules, Eur. Phys. J. C 74 (2014) 2979 [arXiv:1404.5891] [INSPIRE].
V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Calculations in External Fields in Quantum Chromodynamics. Technical Review, Fortsch. Phys. 32 (1984) 585 [INSPIRE].
A. Khodjamirian, Hadron Form Factors: From Basic Phenomenology to QCD Sum Rules, CRC Press, Boca Raton, FL, U.S.A. (2020).
A. Khodjamirian, Upper bounds on fD and \( {f}_{D_s} \) from two-point correlation function in QCD, Phys. Rev. D 79 (2009) 031503 [arXiv:0812.3747] [INSPIRE].
N. Gubernari, D. van Dyk and J. Virto, Non-local matrix elements in B(s) → {K(*), ϕ}ℓ+ℓ−, JHEP 02 (2021) 088 [arXiv:2011.09813] [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].
S. Descotes-Genon, A. Khodjamirian and J. Virto, Light-cone sum rules for B → Kπ form factors and applications to rare decays, JHEP 12 (2019) 083 [arXiv:1908.02267] [INSPIRE].
A. Khodjamirian, B. Melić, Y.-M. Wang and Y.-B. Wei, The D*Dπ and B*Bπ couplings from light-cone sum rules, JHEP 03 (2021) 016 [arXiv:2011.11275] [INSPIRE].
B.L. Ioffe, Condensates in quantum chromodynamics, Phys. Atom. Nucl. 66 (2003) 30 [Yad. Fiz. 66 (2003) 32] [hep-ph/0207191] [INSPIRE].
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].
V.M. Braun, D.Y. Ivanov and G.P. Korchemsky, The B meson distribution amplitude in QCD, Phys. Rev. D 69 (2004) 034014 [hep-ph/0309330] [INSPIRE].
A. Khodjamirian, R. Mandal and T. Mannel, Inverse moment of the Bs-meson distribution amplitude from QCD sum rule, JHEP 10 (2020) 043 [arXiv:2008.03935] [INSPIRE].
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].
M. Rahimi and M. Wald, QCD sum rules for parameters of the B-meson distribution amplitudes, Phys. Rev. D 104 (2021) 016027 [arXiv:2012.12165] [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].
C. Bourrely, I. Caprini and L. Lellouch, Model-independent description of B → πlν decays and a determination of |V(ub)|, Phys. Rev. D 79 (2009) 013008 [Erratum ibid. 82 (2010) 099902] [arXiv:0807.2722] [INSPIRE].
F.U. Bernlochner and Z. Ligeti, Semileptonic B(s) decays to excited charmed mesons with e, μ, τ and searching for new physics with R(D**), Phys. Rev. D 95 (2017) 014022 [arXiv:1606.09300] [INSPIRE].
A.K. Leibovich, Z. Ligeti, I.W. Stewart and M.B. Wise, Semileptonic B decays to excited charmed mesons, Phys. Rev. D 57 (1998) 308 [hep-ph/9705467] [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].
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: 2203.08493
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
Gubernari, N., Khodjamirian, A., Mandal, R. et al. B → D1(2420) and B → \( {\mathrm{D}}_1^{\prime } \)(2430) form factors from QCD light-cone sum rules. J. High Energ. Phys. 2022, 29 (2022). https://doi.org/10.1007/JHEP05(2022)029
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2022)029