Abstract
Motivated by the reported discrepancies between experimental data and Standard Model predictions for the branching ratios of the color-allowed decays \( \overline{B} \)0 → D(*)+K− and \( {\overline{B}}_s^0 \) → \( {D}_s^{\left(\ast \right)+}{\pi}^{-} \), we study final-state rescattering effects on \( \overline{B} \)(s) → \( {D}_{(s)}^{\left(\ast \right)}P \) and \( \overline{B} \)(s) → D(s)V, where P(V) is a light pseudoscalar (vector) meson. We consider quasi-elastic rescatterings in the framework of SU(3) and U(3) flavor symmetries, and find that the effects cannot explain the measured branching ratios of the color-allowed and color-suppressed decays simultaneously. We also perform global fits to the \( \overline{B} \)(s) → \( {D}_{(s)}^{\left(\ast \right)}P \) and \( \overline{B} \)(s) → D(s)V data, allowing for new physics contributions to the Wilson coefficient a1 associated with the color-allowed tree amplitudes. It is shown that the fits prefer a downward shift of \( \mathcal{O} \)(10%) in a1 even in the presence of the quasi-elastic rescattering contributions.
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References
J.D. Bjorken, Topics in B physics, Nucl. Phys. B Proc. Suppl. 11 (1989) 325 [INSPIRE].
M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, QCD factorization for exclusive, nonleptonic B meson decays: general arguments and the case of heavy light final states, Nucl. Phys. B 591 (2000) 313 [hep-ph/0006124] [INSPIRE].
C.W. Bauer, D. Pirjol and I.W. Stewart, A proof of factorization for B → Dπ, Phys. Rev. Lett. 87 (2001) 201806 [hep-ph/0107002] [INSPIRE].
T. Huber, S. Kränkl and X.-Q. Li, Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization, JHEP 09 (2016) 112 [arXiv:1606.02888] [INSPIRE].
M. Bordone, N. Gubernari, T. Huber, M. Jung and D. van Dyk, A puzzle in \( {\overline{B}}_{(s)}^0\to {D}_{(s)}^{+}\left\{{\pi}^{-},{K}^{-}\right\} \) decays and extraction of the fs/fd fragmentation fraction, Eur. Phys. J. C 80 (2020) 951 [arXiv:2007.10338] [INSPIRE].
M. Bordone, N. Gubernari, D. van Dyk and M. Jung, Heavy-quark expansion for \( {\overline{B}}_s\to {D}_s^{\left(\ast \right)} \) form factors and unitarity bounds beyond the SU(3)F limit, Eur. Phys. J. C 80 (2020) 347 [arXiv:1912.09335] [INSPIRE].
F.-M. Cai, W.-J. Deng, X.-Q. Li and Y.-D. Yang, Probing new physics in class-I B-meson decays into heavy-light final states, JHEP 10 (2021) 235 [arXiv:2103.04138] [INSPIRE].
R. Fleischer and E. Malami, Using \( {B}_s^0\to {D}_s^{\mp }{K}^{\pm } \) decays as a portal to new physics, arXiv:2109.04950 [INSPIRE].
S. Iguro and T. Kitahara, Implications for new physics from a novel puzzle in \( {\overline{B}}_s^0\to {D}_{(s)}^{\left(\ast \right)+}\left\{{\pi}^{-},{K}^{-}\right\} \) decays, Phys. Rev. D 102 (2020) 071701 [arXiv:2008.01086] [INSPIRE].
H.-Y. Cheng, Implications of recent \( {\overline{B}}^0\to {D}^{\left(\ast \right)0}{X}^0 \) measurements, Phys. Rev. D 65 (2002) 094012 [hep-ph/0108096] [INSPIRE].
M. Neubert and A.A. Petrov, Comments on color suppressed hadronic B decays, Phys. Lett. B 519 (2001) 50 [hep-ph/0108103] [INSPIRE].
Z.-Z. Xing, Determining the factorization parameter and strong phase differences in B → D(*)π decays, HEPNP 26 (2002) 100 [hep-ph/0107257] [INSPIRE].
Z.-Z. Xing, Final state rescattering and SU(3) symmetry breaking in B → DK and B → DK* decays, Eur. Phys. J. C 28 (2003) 63 [hep-ph/0301024] [INSPIRE].
C.-W. Chiang and J.L. Rosner, Final state phases in B → Dπ, D*π, and Dρ decays, Phys. Rev. D 67 (2003) 074013 [hep-ph/0212274] [INSPIRE].
C.S. Kim, S. Oh and C. Yu, Strong phase shifts and color-suppressed tree amplitudes in B → DK(*) and B → Dπ, Dρ decays, Phys. Lett. B 621 (2005) 259 [hep-ph/0412418] [INSPIRE].
C.-W. Chiang and E. Senaha, Update analysis of two-body charmed B meson decays, Phys. Rev. D 75 (2007) 074021 [hep-ph/0702007] [INSPIRE].
Y.-Y. Keum, T. Kurimoto, H.N. Li, C.-D. Lu and A.I. Sanda, Nonfactorizable contributions to B → D(*)M decays, Phys. Rev. D 69 (2004) 094018 [hep-ph/0305335] [INSPIRE].
R.-H. Li, C.-D. Lu and H. Zou, The B(Bs) → DsP, DsV, \( {D}_s^{\ast } \)P and \( {D}_s^{\ast } \)V decays in the perturbative QCD approach , Phys. Rev. D 78 (2008) 014018 [arXiv:0803.1073] [INSPIRE].
B.Y. Blok and M.A. Shifman, Weak nonleptonic decays of charmed mesons: theory versus experiment, Sov. J. Nucl. Phys. 45 (1987) 522 [Yad. Fiz. 45 (1987) 841] [INSPIRE].
S. Mantry, D. Pirjol and I.W. Stewart, Strong phases and factorization for color suppressed decays, Phys. Rev. D 68 (2003) 114009 [hep-ph/0306254] [INSPIRE].
A.E. Blechman, S. Mantry and I.W. Stewart, Heavy quark symmetry in isosinglet nonleptonic B-decays, Phys. Lett. B 608 (2005) 77 [hep-ph/0410312] [INSPIRE].
I.E. Halperin, Soft gluon suppression of 1/Nc contributions in color suppressed heavy meson decays, Phys. Lett. B 349 (1995) 548 [hep-ph/9411422] [INSPIRE].
J.-Y. Cui and Z.-H. Li, Soft nonfactorizable contribution to \( \overline{B} \)0 → D0π0, Eur. Phys. J. C 38 (2004) 187 [hep-ph/0410029] [INSPIRE].
J.F. Donoghue, E. Golowich, A.A. Petrov and J.M. Soares, Systematics of soft final state interactions in B decay, Phys. Rev. Lett. 77 (1996) 2178 [hep-ph/9604283] [INSPIRE].
B. Blok and I.E. Halperin, Regge asymptotics and color suppressed heavy meson decays, Phys. Lett. B 385 (1996) 324 [hep-ph/9605441] [INSPIRE].
M. Suzuki and L. Wolfenstein, Final state interaction phase in B decays, Phys. Rev. D 60 (1999) 074019 [hep-ph/9903477] [INSPIRE].
C.-K. Chua, W.-S. Hou and K.-C. Yang, Final state rescattering and color suppressed \( \overline{B} \)0 → D(*)0h0 decays, Phys. Rev. D 65 (2002) 096007 [hep-ph/0112148] [INSPIRE].
Fayyazuddin, Final state interactions and ∆S = −1, ∆C = ±1 B decays, JHEP 09 (2002) 055 [hep-ph/0206164] [INSPIRE].
L. Wolfenstein, Strong phases in the decays B → Dπ, Phys. Rev. D 69 (2004) 016006 [hep-ph/0309166] [INSPIRE].
G. Calderon, J.M. Gerard, J. Pestieau and J. Weyers, Relating final state interactions in B → Dπ and B → DK, Phys. Lett. B 588 (2004) 81 [hep-ph/0311163] [INSPIRE].
Fayyazuddin, Final state phases in B → Dπ, \( \overline{D} \)π decays and CP asymmetry, Phys. Rev. D 70 (2004) 114018 [hep-ph/0402189] [INSPIRE].
L. Wolfenstein, Regge amplitudes and final state phases in the decays B → Dπ, hep-ph/0407344 [INSPIRE].
H.-Y. Cheng, C.-K. Chua and A. Soni, Final state interactions in hadronic B decays, Phys. Rev. D 71 (2005) 014030 [hep-ph/0409317] [INSPIRE].
C.-K. Chua and W.-S. Hou, Implications of \( \overline{B} \) → D0h0 decays on \( \overline{B} \) → D\( \overline{K} \), \( \overline{D}\overline{K} \) decays, Phys. Rev. D 72 (2005) 036002 [hep-ph/0504084] [INSPIRE].
C.-K. Chua and W.-S. Hou, Rescattering effects in \( \overline{B} \)u,d,s → DP, \( \overline{D} \)P decays, Phys. Rev. D 77 (2008) 116001 [arXiv:0712.1882] [INSPIRE].
M. Suzuki, Inelastic final-state interaction, Phys. Rev. D 77 (2008) 054021 [arXiv:0710.5534] [INSPIRE].
S. Iguro and R. Watanabe, Bayesian fit analysis to full distribution data of \( \overline{B} \) → D(*)ℓ\( \overline{\nu} \): |Vcb| determination and new physics constraints, JHEP 08 (2020) 006 [arXiv:2004.10208] [INSPIRE].
A. Kobach, Continuity and semileptonic B(s) → D(s) form factors, Phys. Lett. B 809 (2020) 135708 [arXiv:1910.13024] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, PTEP 2020 (2020) 083C01 [INSPIRE].
N. Cabibbo, Unitary symmetry and leptonic decays, Phys. Rev. Lett. 10 (1963) 531 [INSPIRE].
M. Kobayashi and T. Maskawa, CP violation in the renormalizable theory of weak interaction, Prog. Theor. Phys. 49 (1973) 652 [INSPIRE].
K.G. Chetyrkin, M. Misiak and M. Münz, Weak radiative B meson decay beyond leading logarithms, Phys. Lett. B 400 (1997) 206 [Erratum ibid. 425 (1998) 414] [hep-ph/9612313] [INSPIRE].
K.G. Chetyrkin, M. Misiak and M. Münz, |∆F| = 1 nonleptonic effective Hamiltonian in a simpler scheme, Nucl. Phys. B 520 (1998) 279 [hep-ph/9711280] [INSPIRE].
C.-K. Chua, Revisiting final state interaction in charmless Bq → PP decays, Phys. Rev. D 97 (2018) 093004 [arXiv:1802.00155] [INSPIRE].
D. Zeppenfeld, SU(3) relations for B meson decays, Z. Phys. C 8 (1981) 77 [INSPIRE].
M.J. Savage and M.B. Wise, SU(3) predictions for nonleptonic B meson decays, Phys. Rev. D 39 (1989) 3346 [Erratum ibid. 40 (1989) 3127] [INSPIRE].
M. Gronau, O.F. Hernandez, D. London and J.L. Rosner, Broken SU(3) symmetry in two-body B decays, Phys. Rev. D 52 (1995) 6356 [hep-ph/9504326] [INSPIRE].
P. Colangelo and R. Ferrandes, Model independent analysis of a class of \( {\overline{B}}_s^0 \) decay modes, Phys. Lett. B 627 (2005) 77 [hep-ph/0508033] [INSPIRE].
R. Fleischer, N. Serra and N. Tuning, Tests of factorization and SU(3) relations in B decays into heavy-light final states, Phys. Rev. D 83 (2011) 014017 [arXiv:1012.2784] [INSPIRE].
R. Escribano, S. Gonzàlez-Solís, P. Masjuan and P. Sanchez-Puertas, η′ transition form factor from space- and time-like experimental data, Phys. Rev. D 94 (2016) 054033 [arXiv:1512.07520] [INSPIRE].
HFLAV collaboration, Averages of b-hadron, c-hadron, and τ-lepton properties as of 2018, Eur. Phys. J. C 81 (2021) 226 [arXiv:1909.12524] [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].
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].
Flavour Lattice Averaging Group collaboration, FLAG review 2019: Flavour Lattice Averaging Group (FLAG), Eur. Phys. J. C 80 (2020) 113 [arXiv:1902.08191] [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. 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].
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 and B. Melic, Form factors of B, Bs → η(′) and D, Ds → η(′) transitions from QCD light-cone sum rules, JHEP 11 (2015) 138 [arXiv:1508.05287] [INSPIRE].
A. Khodjamirian and A.V. Rusov, Bs → Kℓνℓ and B(s) → π(K)ℓ+ℓ− decays at large recoil and CKM matrix elements, JHEP 08 (2017) 112 [arXiv:1703.04765] [INSPIRE].
Belle collaboration, Precise determination of the CKM matrix element |Vcb| with \( \overline{B} \)0 → D*+ℓ−\( {\overline{\nu}}_{\ell } \) decays with hadronic tagging at Belle, arXiv:1702.01521 [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].
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].
J. De Blas et al., HEPfit: a code for the combination of indirect and direct constraints on high energy physics models, Eur. Phys. J. C 80 (2020) 456 [arXiv:1910.14012] [INSPIRE].
A. Caldwell, D. Kollar and K. Kroninger, BAT: the Bayesian Analysis Toolkit, Comput. Phys. Commun. 180 (2009) 2197 [arXiv:0808.2552] [INSPIRE].
LHCb collaboration, Measurement of CP observables in B± → D(*)K± and B± → D(*)π± decays using two-body D final states, JHEP 04 (2021) 081 [arXiv:2012.09903] [INSPIRE].
M. Bordone, A. Greljo and D. Marzocca, Exploiting dijet resonance searches for flavor physics, JHEP 08 (2021) 036 [arXiv:2103.10332] [INSPIRE].
C. Bobeth, U. Haisch, A. Lenz, B. Pecjak and G. Tetlalmatzi-Xolocotzi, On new physics in ∆Γd, JHEP 06 (2014) 040 [arXiv:1404.2531] [INSPIRE].
J. Brod, A. Lenz, G. Tetlalmatzi-Xolocotzi and M. Wiebusch, New physics effects in tree-level decays and the precision in the determination of the quark mixing angle γ, Phys. Rev. D 92 (2015) 033002 [arXiv:1412.1446] [INSPIRE].
A. Lenz and G. Tetlalmatzi-Xolocotzi, Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons, JHEP 07 (2020) 177 [arXiv:1912.07621] [INSPIRE].
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Endo, M., Iguro, S. & Mishima, S. Revisiting rescattering contributions to \( \overline{B} \)(s) → \( {D}_{(s)}^{\left(\ast \right)}M \) decays. J. High Energ. Phys. 2022, 147 (2022). https://doi.org/10.1007/JHEP01(2022)147
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DOI: https://doi.org/10.1007/JHEP01(2022)147