Abstract
We revisit the calculation of the strong couplings D∗Dπ and B∗Bπ from the QCD light-cone sum rules using the pion light-cone distribution amplitudes. The accuracy of the correlation function, calculated from the operator product expansion near the light-cone, is upgraded by taking into account the gluon radiative corrections to the twist-3 terms. The double spectral density of the correlation function, including the twist-2, 3 terms at \( \mathcal{O}\left({\alpha}_s\right) \) and the twist-4 LO terms, is presented in an analytical form for the first time. This form allows us to use various versions of the quark-hadron duality regions in the double dispersion relation underlying the sum rules. We predict \( {g}_{D^{\ast } D\pi}={14.1}_{-1.2}^{+1.3} \) and \( {g}_{B^{\ast } B\pi}={30.0}_{-2.4}^{+2.6} \) when the decay constants of heavy mesons entering the light-cone sum rule are taken from lattice QCD results. We compare our results with the experimental value for the charmed meson coupling and with the lattice QCD calculations.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
CLEO collaboration, First measurement of Γ(D∗+) and precision measurement of m(D∗+) − m(D0), Phys. Rev. D 65 (2002) 032003 [hep-ex/0108043] [INSPIRE].
BaBar collaboration, Measurement of the D ∗ (2010)+ meson width and the D ∗ (2010)+ − D0 mass difference, Phys. Rev. Lett. 111 (2013) 111801 [arXiv:1304.5657] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, PTEP 2020 (2020) 083C01 [INSPIRE].
G. Burdman and J. F. Donoghue, Union of chiral and heavy quark symmetries, Phys. Lett. B 280 (1992) 287 [INSPIRE].
M. B. Wise, Chiral perturbation theory for hadrons containing a heavy quark, Phys. Rev. D 45 (1992) 2188 [INSPIRE].
T.-M. Yan, H.-Y. Cheng, C.-Y. Cheung, G.-L. Lin, Y.C. Lin and H.-L. Yu, Heavy quark symmetry and chiral dynamics, Phys. Rev. D 46 (1992) 1148 [Erratum ibid. 55 (1997) 5851] [INSPIRE].
D. Becirevic, B. Blossier, E. Chang and B. Haas, \( {g}_{B^{\ast } B\pi} \)-coupling in the static heavy quark limit, Phys. Lett. B 679 (2009) 231 [arXiv:0905.3355] [INSPIRE].
D. Becirevic and F. Sanfilippo, Theoretical estimate of the D∗→ Dπ decay rate, Phys. Lett. B 721 (2013) 94 [arXiv:1210.5410] [INSPIRE].
K. U. Can, G. Erkol, M. Oka, A. Ozpineci and T. T. Takahashi, Vector and axial-vector couplings of D and D∗ mesons in 2 + 1 flavor lattice QCD, Phys. Lett. B 719 (2013) 103 [arXiv:1210.0869] [INSPIRE].
W. Detmold, C. J. D. Lin and S. Meinel, Calculation of the heavy-hadron axial couplings g1, g2 and g3 using lattice QCD, Phys. Rev. D 85 (2012) 114508 [arXiv:1203.3378] [INSPIRE].
ALPHA collaboration, Precision lattice QCD computation of the B∗Bπ coupling, Phys. Lett. B 740 (2015) 278 [arXiv:1404.6951] [INSPIRE].
RBC and UKQCD collaborations, The B∗Bπ coupling using relativistic heavy quarks, Phys. Rev. D 93 (2016) 014510 [arXiv:1506.06413] [INSPIRE].
V. M. Belyaev, V. M. Braun, A. Khodjamirian and R. Ruckl, D∗Dπ and B∗Bπ couplings in QCD, Phys. Rev. D 51 (1995) 6177 [hep-ph/9410280] [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].
V. M. Braun and I. E. Filyanov, QCD sum rules in exclusive kinematics and pion wave function, Z. Phys. C 44 (1989) 157 [Sov. J. Nucl. Phys. 50 (1989) 511] [Yad. Fiz. 50 (1989) 818] [INSPIRE].
A. Khodjamirian, R. Rückl, S. Weinzierl and O. I. Yakovlev, Perturbative QCD correction to the B → π transition form factor, Phys. Lett. B 410 (1997) 275 [hep-ph/9706303] [INSPIRE].
E. Bagan, P. Ball and V. M. Braun, Radiative corrections to the decay B → πeν and the heavy quark limit, Phys. Lett. B 417 (1998) 154 [hep-ph/9709243] [INSPIRE].
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].
G. Duplancic, A. Khodjamirian, T. Mannel, B. Melić and N. Offen, Light-cone sum rules for B → π form factors revisited, JHEP 04 (2008) 014 [arXiv:0801.1796] [INSPIRE].
A. Khodjamirian, C. Klein, T. Mannel and N. Offen, Semileptonic charm decays D → πℓνℓ and D → Klνℓ from QCD light-cone sum rules, Phys. Rev. D 80 (2009) 114005 [arXiv:0907.2842] [INSPIRE].
A. Khodjamirian, R. Ruckl, S. Weinzierl and O. I. Yakovlev, Perturbative QCD correction to the light cone sum rule for the B∗Bπ and D∗Dπ couplings, Phys. Lett. B 457 (1999) 245 [hep-ph/9903421] [INSPIRE].
A. Khodjamirian, QCD sum rules for heavy flavor physics, AIP Conf. Proc. 602 (2001) 194 [hep-ph/0108205] [INSPIRE].
D. Becirevic, J. Charles, A. LeYaouanc, L. Oliver, O. Pene and J. C. Raynal, Possible explanation of the discrepancy of the light cone QCD sum rule calculation of g(D∗Dπ) coupling with experiment, JHEP 01 (2003) 009 [hep-ph/0212177] [INSPIRE].
A. V. Rusov, Higher-twist effects in light-cone sum rule for the B → π form factor, Eur. Phys. J. C 77 (2017) 442 [arXiv:1705.01929] [INSPIRE].
A. Bharucha, Two-loop corrections to the Btoπ form factor from QCD sum rules on the light-cone and |Vub|, JHEP 05 (2012) 092 [arXiv:1203.1359] [INSPIRE].
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. 89 (2014) 099901] [Erratum ibid. 91 (2015) 099901] [arXiv:1305.5432] [INSPIRE].
A. Y. Khodjamirian, Dispersion sum rules for the amplitudes of radiative transitions in quarkonium, Phys. Lett. B 90 (1980) 460 [INSPIRE].
B. L. Ioffe and A. V. Smilga, Meson widths and form-factors at intermediate momentum transfer in nonperturbative QCD, Nucl. Phys. B 216 (1983) 373 [INSPIRE].
V. A. Nesterenko and A. V. Radyushkin, Sum rules and pion form-factor in QCD, Phys. Lett. B 115 (1982) 410 [INSPIRE].
P. Colangelo and A. Khodjamirian, QCD sum rules, a modern perspective, hep-ph/0010175 [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. Ball, V. M. Braun and A. Lenz, Higher-twist distribution amplitudes of the K meson in QCD, JHEP 05 (2006) 004 [hep-ph/0603063] [INSPIRE].
V. M. Braun and I. E. Filyanov, Conformal invariance and pion wave functions of nonleading twist, Z. Phys. C 48 (1990) 239 [Sov. J. Nucl. Phys. 52 (1990) 126] [Yad. Fiz. 52 (1990) 199] [INSPIRE].
H.-D. Li, C.-D. Lü, C. Wang, Y.-M. Wang and Y.-B. Wei, QCD calculations of radiative heavy meson decays with subleading power corrections, JHEP 04 (2020) 023 [arXiv:2002.03825] [INSPIRE].
A. Khodjamirian, C. Klein, T. Mannel and Y.-M. Wang, Form factors and strong couplings of heavy baryons from QCD light-cone sum rules, JHEP 09 (2011) 106 [arXiv:1108.2971] [INSPIRE].
P. Ball and R. Zwicky, Improved analysis of B → πeν from QCD sum rules on the light cone, JHEP 10 (2001) 019 [hep-ph/0110115] [INSPIRE].
M. Neubert, Heavy meson form-factors from QCD sum rules, Phys. Rev. D 45 (1992) 2451 [INSPIRE].
B. Blok and M. A. Shifman, The Isgur-Wise function in the small velocity limit, Phys. Rev. D 47 (1993) 2949 [hep-ph/9207217] [INSPIRE].
Flavour Lattice Averaging Group collaboration, FLAG review 2019, Eur. Phys. J. C 80 (2020) 113 [arXiv:1902.08191] [INSPIRE].
ETM collaboration, Masses and decay constants of \( {D}_{(s)}^{\ast } \) and \( {B}_{(s)}^{\ast } \) mesons with Nf = 2 + 1 + 1 twisted mass fermions, Phys. Rev. D 96 (2017) 034524 [arXiv:1707.04529] [INSPIRE].
K. G. Chetyrkin, J. H. Kühn and M. Steinhauser, RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses, Comput. Phys. Commun. 133 (2000) 43 [hep-ph/0004189] [INSPIRE].
B. L. Ioffe, Condensates in quantum chromodynamics, Phys. Atom. Nucl. 66 (2003) 30 [Yad. Fiz. 66 (2003) 32] [hep-ph/0207191] [INSPIRE].
RQCD collaboration, Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD, JHEP 08 (2019) 065 [Addendum ibid. 11 (2020) 037] [arXiv:1903.08038] [INSPIRE].
A. Khodjamirian, Form-factors of γ∗ρ → π and γ∗γ → π0 transitions and light cone sum rules, Eur. Phys. J. C 6 (1999) 477 [hep-ph/9712451] [INSPIRE].
S. S. Agaev, V. M. Braun, N. Offen and F. A. Porkert, BELLE data on the π0 γ ∗ γ form factor: a game changer?, Phys. Rev. D 86 (2012) 077504 [arXiv:1206.3968] [INSPIRE].
H.-N. Li, Y.-L. Shen and Y.-M. Wang, Joint resummation for pion wave function and pion transition form factor, JHEP 01 (2014) 004 [arXiv:1310.3672] [INSPIRE].
Y.-M. Wang and Y.-L. Shen, Subleading power corrections to the pion-photon transition form factor in QCD, JHEP 12 (2017) 037 [arXiv:1706.05680] [INSPIRE].
V. M. Braun, A. Khodjamirian and M. Maul, Pion form-factor in QCD at intermediate momentum transfers, Phys. Rev. D 61 (2000) 073004 [hep-ph/9907495] [INSPIRE].
S. Cheng, A. Khodjamirian and A. V. Rusov, Pion light-cone distribution amplitude from the pion electromagnetic form factor, Phys. Rev. D 102 (2020) 074022 [arXiv:2007.05550] [INSPIRE].
A. Khodjamirian, T. Mannel, N. Offen and Y. M. Wang, B → πℓνl width and |Vub| from QCD light-cone sum rules, Phys. Rev. D 83 (2011) 094031 [arXiv:1103.2655] [INSPIRE].
A. Ali, V. M. Braun and H. Simma, Exclusive radiative B decays in the light cone QCD sum rule approach, Z. Phys. C 63 (1994) 437 [hep-ph/9401277] [INSPIRE].
A. Khodjamirian, R. Ruckl and C. W. Winhart, The scalar B → π and D → π form-factors in QCD, Phys. Rev. D 58 (1998) 054013 [hep-ph/9802412] [INSPIRE].
C. G. Boyd and B. Grinstein, Chiral and heavy quark symmetry violation in B decays, Nucl. Phys. B 442 (1995) 205 [hep-ph/9402340] [INSPIRE].
R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio and G. Nardulli, Phenomenology of heavy meson chiral Lagrangians, Phys. Rept. 281 (1997) 145 [hep-ph/9605342] [INSPIRE].
J. Rohrwild, Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays, JHEP 09 (2007) 073 [arXiv:0708.1405] [INSPIRE].
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].
X.-Q. Li, F. Su and Y.-D. Yang, Determination of the strong coupling \( {g}_{B^{\ast } B\pi} \) from semi-leptonic B → πℓν decay, Phys. Rev. D 83 (2011) 054019 [arXiv:1011.0269] [INSPIRE].
C. Bourrely, I. Caprini and L. Lellouch, Model-independent description of B → πℓν decays and a determination of |Vub|, Phys. Rev. D 79 (2009) 013008 [Erratum ibid. 82 (2010) 099902] [arXiv:0807.2722] [INSPIRE].
Fermilab Lattice and MILC collaborations, |Vub| from B → πℓν decays and (2 + 1)-flavor lattice QCD, Phys. Rev. D 92 (2015) 014024 [arXiv:1503.07839] [INSPIRE].
P. Colangelo and F. De Fazio, QCD interactions of heavy mesons with pions by light cone sum rules, Eur. Phys. J. C 4 (1998) 503 [hep-ph/9706271] [INSPIRE].
V. L. Eletsky and Y. I. Kogan, Calculation of D∗→ Dγ and D∗→ Dπ decay widths from QCD sum rules, Z. Phys. C 28 (1985) 155 [INSPIRE].
P. Colangelo, F. De Fazio, G. Nardulli, N. Di Bartolomeo and R. Gatto, Strong coupling of excited heavy mesons, Phys. Rev. D 52 (1995) 6422 [hep-ph/9506207] [INSPIRE].
A. G. Grozin and O. I. Yakovlev, Couplings of heavy hadrons with soft pions from QCD sum rules, Eur. Phys. J. C 2 (1998) 721 [hep-ph/9706421] [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: 2011.11275
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
Khodjamirian, A., Melić, B., Wang, YM. et al. The D∗Dπ and B∗Bπ couplings from light-cone sum rules. J. High Energ. Phys. 2021, 16 (2021). https://doi.org/10.1007/JHEP03(2021)016
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2021)016