Abstract
The on-shell matrix elements, or couplings \( {g}_{H{H}^{\ast}\left({H}_1\right)\upgamma} \), describing the \( B{(D)}_q^{\ast } \) → B(D)qγ and B1q → Bqγ (q = u, d, s) radiative decays, are determined from light-cone sum rules at next-to-leading order for the first time. Two different interpolating operators are used for the vector meson, providing additional robustness to our results. For the D*-meson, where some rates are experimentally known, agreement is found. The couplings are of additional interest as they govern the lowest pole residue in the B(D) → γ form factors which in turn are connected to QED-corrections in leptonic decays B(D) → ℓ\( \overline{\nu} \). Since the couplings and residues are related by the decay constants \( {f}_{H^{\ast}\left({H}_1\right)} \) and \( {f}_{H^{\ast}\left({H}_1\right)}^T \), we determine them at next-leading order as a by-product. The quantities \( \left\{{f}_{H^{\ast}}^T,{f}_{H_1}^T\right\} \) have not previously been subjected to a QCD sum rule determination. All results are compared with the existing experimental and theoretical literature.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Y.Y. Balitsky, V.M. Braun and A.V. Kolesnichenko, The decay Σ+ → pγ in QCD: Bilocal corrections in a variable magnetic field and the photon wave functions, Sov. J. Nucl. Phys. 48 (1988) 348 [INSPIRE].
P. Colangelo and A. Khodjamirian, QCD sum rules, a modern perspective, hep-ph/0010175 [INSPIRE].
T. Janowski, B. Pullin and R. Zwicky, Charged and Neutral \( \overline{B} \)u,d,s → γ Form Factors from Light Cone Sum Rules at NLO, arXiv:2106.13616 [INSPIRE].
J. Albrecht, E. Stamou, R. Ziegler and R. Zwicky, Probing flavoured Axions in the Tail of Bq → μ+μ−, arXiv:1911.05018 [INSPIRE].
S. Di Vita, P. Mastrolia, A. Primo and U. Schubert, Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a W pair and to the triple gauge couplings ZWW and γ*WW, JHEP 04 (2017) 008 [arXiv:1702.07331] [INSPIRE].
I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev and A.I. Vainshtein, The Pole mass of the heavy quark. Perturbation theory and beyond, Phys. Rev. D 50 (1994) 2234 [hep-ph/9402360] [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and Resonance Physics. Theoretical Foundations, Nucl. Phys. B 147 (1979) 385 [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and Resonance Physics: Applications, Nucl. Phys. B 147 (1979) 448 [INSPIRE].
T.M. Aliev, D.A. Demir, E. Iltan and N.K. Pak, Radiative B* → Bγ and D* → Dγ decays in light cone QCD sum rules, Phys. Rev. D 54 (1996) 857 [hep-ph/9511362] [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].
D. Becirevic and B. Haas, D* → Dπ and D* → Dγ decays: Axial coupling and Magnetic moment of D∗ meson, Eur. Phys. J. C 71 (2011) 1734 [arXiv:0903.2407] [INSPIRE].
G.C. Donald, C.T.H. Davies, J. Koponen and G.P. Lepage, Prediction of the \( {D}_s^{\ast } \)∗ width from a calculation of its radiative decay in full lattice QCD, Phys. Rev. Lett. 112 (2014) 212002 [arXiv:1312.5264] [INSPIRE].
M. Jamin and B.O. Lange, fB and \( {f}_{B_s} \) from QCD sum rules, Phys. Rev. D 65 (2002) 056005 [hep-ph/0108135] [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].
Z.-G. Wang, Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules, Eur. Phys. J. C 75 (2015) 427 [arXiv:1506.01993] [INSPIRE].
D. Becirevic, V. Lubicz, F. Sanfilippo, S. Simula and C. Tarantino, D-meson decay constants and a check of factorization in non-leptonic B-decays, JHEP 02 (2012) 042 [arXiv:1201.4039] [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].
J.F. Amundson et al., Radiative D* decay using heavy quark and chiral symmetry, Phys. Lett. B 296 (1992) 415 [hep-ph/9209241] [INSPIRE].
G. Isidori, S. Nabeebaccus and R. Zwicky, QED corrections in \( \overline{B} \) → \( \overline{K} \)ℓ+ℓ− at the double-differential level, JHEP 12 (2020) 104 [arXiv:2009.00929] [INSPIRE].
R. Zwicky, A brief Introduction to Dispersion Relations and Analyticity, in Quantum Field Theory at the Limits: from Strong Fields to Heavy Quarks, pp. 93–120 (2017) [DOI] [arXiv:1610.06090] [INSPIRE].
V.M. Braun, G.P. Korchemsky and D. Müller, The Uses of conformal symmetry in QCD, Prog. Part. Nucl. Phys. 51 (2003) 311 [hep-ph/0306057] [INSPIRE].
C. Itzykson and J. Zuber, Quantum Field Theory, International Series In Pure and Applied Physics, McGraw-Hill, New York (1980) [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].
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].
C. Hambrock, G. Hiller, S. Schacht and R. Zwicky, B → K* form factors from flavor data to QCD and back, Phys. Rev. D 89 (2014) 074014 [arXiv:1308.4379] [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].
P. Colangelo, F. De Fazio and G. Nardulli, Radiative heavy meson transitions, Phys. Lett. B 316 (1993) 555 [hep-ph/9307330] [INSPIRE].
C.-Y. Cheung and C.-W. Hwang, Strong and radiative decays of heavy mesons in a covariant model, JHEP 04 (2014) 177 [arXiv:1401.3917] [INSPIRE].
J.L. Goity and W. Roberts, Radiative transitions in heavy mesons in a relativistic quark model, Phys. Rev. D 64 (2001) 094007 [hep-ph/0012314] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2020 (2020) 083C01 [INSPIRE].
Y.G. Aditya, K.J. Healey and A.A. Petrov, Faking Bs → μ+μ−, Phys. Rev. D 87 (2013) 074028 [arXiv:1212.4166] [INSPIRE].
A. Desiderio et al., First lattice calculation of radiative leptonic decay rates of pseudoscalar mesons, Phys. Rev. D 103 (2021) 014502 [arXiv:2006.05358] [INSPIRE].
J. Gratrex and R. Zwicky, Parity Doubling as a Tool for Right-handed Current Searches, JHEP 08 (2018) 178 [arXiv:1804.09006] [INSPIRE].
Flavour Lattice Averaging Group collaboration, FLAG Review 2019: Flavour Lattice Averaging Group (FLAG), Eur. Phys. J. C 80 (2020) 113 [arXiv:1902.08191] [INSPIRE].
W. Lucha, D. Melikhov and S. Simula, Decay constants of heavy pseudoscalar mesons from QCD sum rules, J. Phys. G 38 (2011) 105002 [arXiv:1008.2698] [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].
P. Gambino, A. Melis and S. Simula, Extraction of heavy-quark-expansion parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses, Phys. Rev. D 96 (2017) 014511 [arXiv:1704.06105] [INSPIRE].
C. Hughes, C.T.H. Davies and C.J. Monahan, New methods for B meson decay constants and form factors from lattice NRQCD, Phys. Rev. D 97 (2018) 054509 [arXiv:1711.09981] [INSPIRE].
C. McNeile, C.T.H. Davies, E. Follana, K. Hornbostel and G.P. Lepage, High-Precision \( {f}_{B_s} \) and HQET from Relativistic Lattice QCD, Phys. Rev. D 85 (2012) 031503 [arXiv:1110.4510] [INSPIRE].
Y.-B. Yang et al., Charm and strange quark masses and \( {f}_{D_s} \) from overlap fermions, Phys. Rev. D 92 (2015) 034517 [arXiv:1410.3343] [INSPIRE].
Fermilab Lattice and MILC collaborations, B- and D-meson decay constants from three-flavor lattice QCD, Phys. Rev. D 85 (2012) 114506 [arXiv:1112.3051] [INSPIRE].
P.A. Boyle, L. Del Debbio, A. Jüttner, A. Khamseh, F. Sanfilippo and J.T. Tsang, The decay constants fD and \( {f}_{D_s} \) in the continuum limit of Nf = 2 + 1 domain wall lattice QCD, JHEP 12 (2017) 008 [arXiv:1701.02644] [INSPIRE].
C.T.H. Davies, C. McNeile, E. Follana, G.P. Lepage, H. Na and J. Shigemitsu, Update: Precision Ds decay constant from full lattice QCD using very fine lattices, Phys. Rev. D 82 (2010) 114504 [arXiv:1008.4018] [INSPIRE].
H. Na, C.T.H. Davies, E. Follana, G.P. Lepage and J. Shigemitsu, |Vcd| from D Meson Leptonic Decays, Phys. Rev. D 86 (2012) 054510 [arXiv:1206.4936] [INSPIRE].
W. Lucha, D. Melikhov and S. Simula, Isospin breaking in the decay constants of heavy mesons from QCD sum rules, Phys. Lett. B 765 (2017) 365 [arXiv:1609.05050] [INSPIRE].
ETM collaboration, Mass of the b quark and B-meson decay constants from Nf = 2 + 1 + 1 twisted-mass lattice QCD, Phys. Rev. D 93 (2016) 114505 [arXiv:1603.04306] [INSPIRE].
HPQCD collaboration, B-Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical u, d, s, and c Quarks, Phys. Rev. Lett. 110 (2013) 222003 [arXiv:1302.2644] [INSPIRE].
W. Lucha, D. Melikhov and S. Simula, Accurate decay-constant ratios \( {f}_{B^{\ast }} \)/fB and \( {f}_{B_s^{\ast }} \)/\( {f}_{B_s} \) from Borel QCD sum rules, Phys. Rev. D 91 (2015) 116009 [arXiv:1504.03017] [INSPIRE].
D. Becirevic, A. Le Yaouanc, A. Oyanguren, P. Roudeau and F. Sanfilippo, Insight into D/B → πℓνℓ decay using the pole models, arXiv:1407.1019 [INSPIRE].
HPQCD collaboration, B-meson decay constants: a more complete picture from full lattice QCD, Phys. Rev. D 91 (2015) 114509 [arXiv:1503.05762] [INSPIRE].
D. Becirevic, B. Haas and E. Kou, Soft Photon Problem in Leptonic B-decays, Phys. Lett. B 681 (2009) 257 [arXiv:0907.1845] [INSPIRE].
G.S. Bali et al., Magnetic susceptibility of QCD at zero and at finite temperature from the lattice, Phys. Rev. D 86 (2012) 094512 [arXiv:1209.6015] [INSPIRE].
C. McNeile et al., Direct determination of the strange and light quark condensates from full lattice QCD, Phys. Rev. D 87 (2013) 034503 [arXiv:1211.6577] [INSPIRE].
B.L. Ioffe, Condensates in quantum chromodynamics, Phys. Atom. Nucl. 66 (2003) 30 [hep-ph/0207191] [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].
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: 2106.13617
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
Pullin, B., Zwicky, R. Radiative decays of heavy-light mesons and the \( {f}_{H,{H}^{\ast },{H}_1}^{(T)} \) decay constants. J. High Energ. Phys. 2021, 23 (2021). https://doi.org/10.1007/JHEP09(2021)023
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2021)023