Abstract
We consider the form factors for the radiative semileptonic decays \( \overline{B} \)(v) → D(*)(v′)ℓ\( \overline{\nu} \)ℓγ in the kinematic region where the photon momentum, k, is small enough that heavy quark symmetry (HQS) can be applied without the radiated photon changing the heavy quark velocity (i.e., v(′) ∙ k < m(b,c)). We find that HQS is remarkably powerful, leaving only four new undetermined form factors at leading order in 1/m(b,c). In addition, one of them is fixed in terms of the leading order Isgur-Wise function in the kinematic region, v(′) ∙ k < ΛQCD.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Nussinov and W. Wetzel, Comparison of exclusive decay rates for b → u and b → c transitions, Phys. Rev. D 36 (1987) 130 [INSPIRE].
M.A. Shifman and M.B. Voloshin, On production of d and D* mesons in B meson decays, Sov. J. Nucl. Phys. 47 (1988) 511 [Yad. Fiz. 47 (1988) 801] [INSPIRE].
N. Isgur and M.B. Wise, Weak decays of heavy mesons in the static quark approximation, Phys. Lett. B 232 (1989) 113 [INSPIRE].
N. Isgur and M.B. Wise, Weak transition form-factors between heavy mesons, Phys. Lett. B 237 (1990) 527 [INSPIRE].
Belle collaboration, Measurement of the decay B → Dℓνℓ in fully reconstructed events and determination of the Cabibbo-Kobayashi-Maskawa matrix element |Vcb|, Phys. Rev. D 93 (2016) 032006 [arXiv:1510.03657] [INSPIRE].
Belle collaboration, Measurement of the branching ratio of \( \overline{B} \) → D(*)τ−\( \overline{\nu} \)τ relative to \( \overline{B} \) → D(*)ℓ−\( \overline{\nu} \)ℓ decays with hadronic tagging at Belle, Phys. Rev. D 92 (2015) 072014 [arXiv:1507.03233] [INSPIRE].
Belle collaboration, Measurement of the τ lepton polarization and R(D*) in the decay \( \overline{B} \) → D*τ−\( \overline{\nu} \)τ, Phys. Rev. Lett. 118 (2017) 211801 [arXiv:1612.00529] [INSPIRE].
Belle collaboration, Measurement of the branching ratio of \( \overline{B} \)0 → D*+τ−\( \overline{\nu} \)τ relative to \( \overline{B} \)0 → D*+ℓ−\( \overline{\nu} \)ℓ decays with a semileptonic tagging method, Phys. Rev. D 94 (2016) 072007 [arXiv:1607.07923] [INSPIRE].
Belle collaboration, Measurement of the τ lepton polarization and R(D*) in the decay \( \overline{B} \) → D*τ−\( \overline{\nu} \)τ with one-prong hadronic τ decays at Belle, Phys. Rev. D 97 (2018) 012004 [arXiv:1709.00129] [INSPIRE].
Belle collaboration, Measurement of the CKM matrix element |Vcb| from B0 → D*−ℓ+νℓ at Belle, Phys. Rev. D 100 (2019) 052007 [Erratum ibid. 103 (2021) 079901] [arXiv:1809.03290] [INSPIRE].
Belle collaboration, Measurement of \( \mathcal{R} \)(D) and \( \mathcal{R} \)(D*) with a semileptonic tagging method, arXiv:1904.08794 [INSPIRE].
Belle collaboration, Measurement of \( \mathcal{R} \)(D) and \( \mathcal{R} \)(D*) with a semileptonic tagging method, Phys. Rev. Lett. 124 (2020) 161803 [arXiv:1910.05864] [INSPIRE].
BaBar collaboration, A Measurement of the branching fractions of exclusive \( \overline{B} \) → D(*)(π)ℓ−\( \overline{\nu} \)ℓ decays in events with a fully reconstructed B meson, Phys. Rev. Lett. 100 (2008) 151802 [arXiv:0712.3503] [INSPIRE].
BaBar collaboration, Determination of the form-factors for the decay B0 → D*−ℓ+νℓ and of the CKM matrix element |Vcb|, Phys. Rev. D 77 (2008) 032002 [arXiv:0705.4008] [INSPIRE].
BaBar collaboration, Measurement of the decay B− → D*0e−\( \overline{\nu} \)e, Phys. Rev. Lett. 100 (2008) 231803 [arXiv:0712.3493] [INSPIRE].
BaBar collaboration, Measurements of the semileptonic decays \( \overline{B} \) → Dℓ\( \overline{\nu} \) and \( \overline{B} \) → D*ℓ\( \overline{\nu} \) using a global fit to DXℓ\( \overline{\nu} \) final states, Phys. Rev. D 79 (2009) 012002 [arXiv:0809.0828] [INSPIRE].
BaBar collaboration, Measurement of |Vcb| and the form-factor slope in \( \overline{B} \) → Dℓ−\( \overline{nu} \) decays in events tagged by a fully reconstructed B meson, Phys. Rev. Lett. 104 (2010) 011802 [arXiv:0904.4063] [INSPIRE].
BaBar collaboration, Evidence for an excess of \( \overline{B} \) → D(*)τ−\( \overline{\nu} \)τ decays, Phys. Rev. Lett. 109 (2012) 101802 [arXiv:1205.5442] [INSPIRE].
BaBar collaboration, Measurement of an excess of \( \overline{B} \) → D(*)τ−\( \overline{\nu} \)τ decays and implications for charged Higgs bosons, Phys. Rev. D 88 (2013) 072012 [arXiv:1303.0571] [INSPIRE].
LHCb collaboration, Measurement of the ratio of branching fractions \( \mathcal{B} \)(\( \overline{B} \)0 → D*+τ−\( \overline{\nu} \)τ)/\( \mathcal{B} \)(\( \overline{B} \)0 → D*+μ−\( \overline{\nu} \)μ), Phys. Rev. Lett. 115 (2015) 111803 [Erratum ibid. 115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].
LHCb collaboration, Test of lepton flavor universality by the measurement of the B0 → D*−τ+ντ branching fraction using three-prong τ decays, Phys. Rev. D 97 (2018) 072013 [arXiv:1711.02505] [INSPIRE].
LHCb collaboration, Measurement of the ratio of the B0 → D*−τ+ντ and B0 → D*−μ+νμ branching fractions using three-prong τ-lepton decays, Phys. Rev. Lett. 120 (2018) 171802 [arXiv:1708.08856] [INSPIRE].
F.U. Bernlochner and M. Schonherr, Comparing different ansatzes to describe electroweak radiative corrections to exclusive semileptonic B meson decays into (pseudo)scalar final state mesons using Monte-Carlo techniques, arXiv:1010.5997 [INSPIRE].
S. Calí, S. Klaver, M. Rotondo and B. Sciascia, Impacts of radiative corrections on measurements of lepton flavour universality in B → Dℓνℓ decays, Eur. Phys. J. C 79 (2019) 744 [arXiv:1905.02702] [INSPIRE].
D. Becirevic and N. Kosnik, Soft photons in semileptonic B → D decays, Acta Phys. Polon. Supp. 3 (2010) 207 [arXiv:0910.5031] [INSPIRE].
F.U. Bernlochner and H. Lacker, A phenomenological model for radiative corrections in exclusive semileptonic B-meson decays to (pseudo)scalar final state mesons, arXiv:1003.1620 [INSPIRE].
S. de Boer, T. Kitahara and I. Nisandzic, Soft-photon corrections to \( \overline{B} \) → Dτ−\( \overline{\nu} \)τ relative to \( \overline{B} \) → Dμ−νμ, Phys. Rev. Lett. 120 (2018) 261804 [arXiv:1803.05881] [INSPIRE].
J. Gasser, B. Kubis, N. Paver and M. Verbeni, Radiative Ke3 decays revisited, Eur. Phys. J. C 40 (2005) 205 [hep-ph/0412130] [INSPIRE].
H.D. Politzer and M.B. Wise, Effective field theory approach to processes involving both light and heavy fields, Phys. Lett. B 208 (1988) 504 [INSPIRE].
E. Eichten and B.R. Hill, An effective field theory for the calculation of matrix elements involving heavy quarks, Phys. Lett. B 234 (1990) 511 [INSPIRE].
E. Eichten and B.R. Hill, Static effective field theory: 1/m corrections, Phys. Lett. B 243 (1990) 427 [INSPIRE].
H. Georgi, An effective field theory for heavy quarks at low-energies, Phys. Lett. B 240 (1990) 447 [INSPIRE].
A.V. Manohar and M.B. Wise, Heavy quark physics, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10 (2000) 1 [INSPIRE].
V. Cirigliano and D. Pirjol, Factorization in exclusive semileptonic radiative B decays, Phys. Rev. D 72 (2005) 094021 [hep-ph/0508095] [INSPIRE].
J.C. Ward, An identity in quantum electrodynamics, Phys. Rev. 78 (1950) 182 [INSPIRE].
F.E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions, Phys. Rev. 110 (1958) 974 [INSPIRE].
S. Weinberg, Infrared photons and gravitons, Phys. Rev. 140 (1965) B516 [INSPIRE].
R. Jackiw, Low-energy theorems for massless bosons: photons and gravitons, Phys. Rev. 168 (1968) 1623 [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].
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].
H. Elvang, C.R.T. Jones and S.G. Naculich, Soft photon and graviton theorems in effective field theory, Phys. Rev. Lett. 118 (2017) 231601 [arXiv:1611.07534] [INSPIRE].
D. Atwood and W.J. Marciano, Radiative corrections and semileptonic B decays, Phys. Rev. D 41 (1990) 1736 [INSPIRE].
M. Beneke, P. Böer, G. Finauri and K.K. Vos, QED factorization of two-body non-leptonic and semi-leptonic B to charm decays, JHEP 10 (2021) 223 [arXiv:2107.03819] [INSPIRE].
E. Barberio, B. van Eijk and Z. Was, PHOTOS: a universal Monte Carlo for QED radiative corrections in decays, Comput. Phys. Commun. 66 (1991) 115 [INSPIRE].
E. Barberio and Z. Was, PHOTOS: a universal Monte Carlo for QED radiative corrections. Version 2.0, Comput. Phys. Commun. 79 (1994) 291 [INSPIRE].
D.R. Yennie, S.C. Frautschi and H. Suura, The infrared divergence phenomena and high-energy processes, Annals Phys. 13 (1961) 379 [INSPIRE].
M. Schonherr and F. Krauss, Soft photon radiation in particle decays in SHERPA, JHEP 12 (2008) 018 [arXiv:0810.5071] [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: 2110.13154
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
Papucci, M., Trickle, T. & Wise, M.B. Radiative semileptonic \( \overline{B} \) decays. J. High Energ. Phys. 2022, 43 (2022). https://doi.org/10.1007/JHEP02(2022)043
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2022)043