Parametrizations of three-body hadronic B- and D-decay amplitudes

Benoît Loiseau; Diogo Boito; Jean-Pierre Dedonder; Bruno El-Bennich; Rafel Escribano; Robert Kamiński; Leonard Leśniak

doi:10.1051/epjconf/201920206014

All issues

Volume 202 (2019)

EPJ Web Conf., 202 (2019) 06014

References

Open Access

Issue		EPJ Web Conf. Volume 202, 2019 9^th International Workshop on Charm Physics (CHARM 2018)


Article Number		06014
Number of page(s)		6
Section		Parallel Sessions
DOI		https://doi.org/10.1051/epjconf/201920206014
Published online		13 March 2019

R. Aaij et al. [LHCb Collaboration], Measurements of CP violation in the three-body phase space of charmless B^± decays, Phys. Rev. D 90, 112004 (2014). [CrossRef] [Google Scholar]
D. Boito, J.-P. Dedonder, B. El-Bennich, R. Escribano, R. Kamiński, L. Leśniak, B. Loiseau, Parametrizations of three-body hadronic B-and D-decay amplitudes in terms of analytic and unitary meson-meson form factors, Phys. Rev. D 96, 113003 (2017). [CrossRef] [Google Scholar]
G. Buchalla, A. J. Buras and M. E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68, 1125 (1996); arXiv [hep-ph/9512380]. [CrossRef] [Google Scholar]
G. Barton, Introduction to dispersion techniques in field theory, W. A. Benjamin, Inc., New York (1965). [Google Scholar]
N. I. Muskhelishvili, Singular integral equations, (P. Nordhof 1953), chapters 18 and 19; R. Omnès, On the solution of certain singular integral equations of quantum field theory, Nuovo Cim. 8, 316 (1958). [CrossRef] [Google Scholar]
R. Klein, T. Mannel, J. Virto, K. Keri Vos, CP violation in multibody B decays from QCD factorization , JHEP 10, 117 (2017). [CrossRef] [Google Scholar]
D. R. Boito and R. Escribano, Kπ form-factors and final state interactions in D⁺ → K⁻π⁺π⁺ decays, Phys. Rev. D 80, 054007 (2009). [CrossRef] [Google Scholar]
A. Furman, R. Kamiśki, L. Leśniak and B. Loiseau, Long-distance eﬀects and final state interactions in B → ππK and B → KK decays, Phys. Lett. B 622, 207 (2005). [CrossRef] [Google Scholar]
B. El-Bennich, A. Furman, R. Kamiński, L. Leśniak, B. Loiseau, Interference between f₀(980) and ρ(770)⁰ resonances in B → π⁺π⁻K decays, Phys. Rev. D 74, 114009 (2006). [CrossRef] [Google Scholar]
B. El-Bennich, A. Furman, R. Kamiński, L. Leśniak, B. Loiseau and B. Moussallam, CP violation and kaon-pion interactions in B → Kπ⁺π⁻ decays, Phys. Rev. D 79, 094005 (2009); Erratum-ibid, Phys. Rev. D 83, 039903 (2011). [CrossRef] [Google Scholar]
J.-P. Dedonder, R. R Kamiński, L. Leśniak, B. Loiseau, Dalitz plot studies of D⁰ →K_S⁰K⁺ K⁻ decays in a factorization approach, work in progress. [Google Scholar]
J.-P. Dedonder, R. R Kamiński, L. Leśniak, B. Loiseau, Dalitz plot studies of D⁰ → K_S⁰ π⁺π⁻ decays in a factorization approach, Phys. Rev. D 89, 094018 (2014). [CrossRef] [Google Scholar]
J.-P. Dedonder, A. Furman, R Kamiński, L. Leśniak, B. Loiseau, Final state interactions and CP violation in B^±→ π⁺π⁻π^± decays, Acta Phys. Pol. B 42, 2013 (2011). [CrossRef] [Google Scholar]
B. Moussallam, N_f dependence of the quark condensate from a chiral sum rule, Eur. Phys. J. C 14, 111 (2000). [EDP Sciences] [Google Scholar]
S. Ropertz, C. Hanhart, B. Kubis, A new parametrization for the scalar pion form factors, Eur. Phys. J. C 78, 1000 (2018); contribution to this CHARM2018 international workshop. [CrossRef] [EDP Sciences] [Google Scholar]
E. Passemar, Dispersive analyses: Perspective and Discussion, FCNLB2019 talk, MITP, Mainz, https://indico.mitp.uni-mainz.de/event/177/session/7/material/0/2.pdf [Google Scholar]
R. Aaij et al. [LHCb Collaboration], Amplitude analysis of the decay → K_S⁰π⁺π⁻ and first observation of the CP asymmetry in → K^∗(892)⁻π⁺, Phys. Rev. Lett. 120, 261801 (2018); arXiv: 1712.09320 [hep-ex]. [CrossRef] [PubMed] [Google Scholar]
A. Furman, R Kamiński, L. Leśniak, P. Żenczykowski, Final state interaction in B^±→ K⁺ K⁻K^±, Phys. Lett. B 699, 102 (2011). [CrossRef] [Google Scholar]
L. Leśniak, P. Żenczykowski, Dalitz-plot dependence of CP asymmetry in B^±˙→ K^±K⁺ K⁻ decays, Phys. Lett. B 737, 201 (2014). [CrossRef] [Google Scholar]
M. Albaladejo, B. Moussallam, Form factors of the isovector scalar current and the ηπ scattering phase shifts, Eur. Phys. J. C 75, 488 (2015). [CrossRef] [EDP Sciences] [Google Scholar]
C.-L. Hsu et al. (Belle Collaboration), Measurement of branching fraction and direct CP asymmetry in charmless B⁻→ K⁺ K⁻π⁻ decays at Belle, Phys. Rev. D 96, 031101(R) (2017). [CrossRef] [Google Scholar]

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[1] R. Aaij et al. [LHCb Collaboration], Measurements of CP violation in the three-body phase space of charmless B^± decays, Phys. Rev. D 90, 112004 (2014). [CrossRef] [Google Scholar]

[2] D. Boito, J.-P. Dedonder, B. El-Bennich, R. Escribano, R. Kamiński, L. Leśniak, B. Loiseau, Parametrizations of three-body hadronic B-and D-decay amplitudes in terms of analytic and unitary meson-meson form factors, Phys. Rev. D 96, 113003 (2017). [CrossRef] [Google Scholar]

[3] G. Buchalla, A. J. Buras and M. E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68, 1125 (1996); arXiv [hep-ph/9512380]. [CrossRef] [Google Scholar]

[4] G. Barton, Introduction to dispersion techniques in field theory, W. A. Benjamin, Inc., New York (1965). [Google Scholar]

[5] N. I. Muskhelishvili, Singular integral equations, (P. Nordhof 1953), chapters 18 and 19; R. Omnès, On the solution of certain singular integral equations of quantum field theory, Nuovo Cim. 8, 316 (1958). [CrossRef] [Google Scholar]

[6] R. Klein, T. Mannel, J. Virto, K. Keri Vos, CP violation in multibody B decays from QCD factorization , JHEP 10, 117 (2017). [CrossRef] [Google Scholar]

[7] D. R. Boito and R. Escribano, Kπ form-factors and final state interactions in D⁺ → K⁻π⁺π⁺ decays, Phys. Rev. D 80, 054007 (2009). [CrossRef] [Google Scholar]

[8] A. Furman, R. Kamiśki, L. Leśniak and B. Loiseau, Long-distance eﬀects and final state interactions in B → ππK and B → KK decays, Phys. Lett. B 622, 207 (2005). [CrossRef] [Google Scholar]

[9] B. El-Bennich, A. Furman, R. Kamiński, L. Leśniak, B. Loiseau, Interference between f₀(980) and ρ(770)⁰ resonances in B → π⁺π⁻K decays, Phys. Rev. D 74, 114009 (2006). [CrossRef] [Google Scholar]

[10] B. El-Bennich, A. Furman, R. Kamiński, L. Leśniak, B. Loiseau and B. Moussallam, CP violation and kaon-pion interactions in B → Kπ⁺π⁻ decays, Phys. Rev. D 79, 094005 (2009); Erratum-ibid, Phys. Rev. D 83, 039903 (2011). [CrossRef] [Google Scholar]

[11] J.-P. Dedonder, R. R Kamiński, L. Leśniak, B. Loiseau, Dalitz plot studies of D⁰ →K_S⁰K⁺ K⁻ decays in a factorization approach, work in progress. [Google Scholar]

[12] J.-P. Dedonder, R. R Kamiński, L. Leśniak, B. Loiseau, Dalitz plot studies of D⁰ → K_S⁰ π⁺π⁻ decays in a factorization approach, Phys. Rev. D 89, 094018 (2014). [CrossRef] [Google Scholar]

[13] J.-P. Dedonder, A. Furman, R Kamiński, L. Leśniak, B. Loiseau, Final state interactions and CP violation in B^±→ π⁺π⁻π^± decays, Acta Phys. Pol. B 42, 2013 (2011). [CrossRef] [Google Scholar]

[14] B. Moussallam, N_f dependence of the quark condensate from a chiral sum rule, Eur. Phys. J. C 14, 111 (2000). [EDP Sciences] [Google Scholar]

[15] S. Ropertz, C. Hanhart, B. Kubis, A new parametrization for the scalar pion form factors, Eur. Phys. J. C 78, 1000 (2018); contribution to this CHARM2018 international workshop. [CrossRef] [EDP Sciences] [Google Scholar]

[16] E. Passemar, Dispersive analyses: Perspective and Discussion, FCNLB2019 talk, MITP, Mainz, https://indico.mitp.uni-mainz.de/event/177/session/7/material/0/2.pdf [Google Scholar]

[17] R. Aaij et al. [LHCb Collaboration], Amplitude analysis of the decay → K_S⁰π⁺π⁻ and first observation of the CP asymmetry in → K^∗(892)⁻π⁺, Phys. Rev. Lett. 120, 261801 (2018); arXiv: 1712.09320 [hep-ex]. [CrossRef] [PubMed] [Google Scholar]

[18] A. Furman, R Kamiński, L. Leśniak, P. Żenczykowski, Final state interaction in B^±→ K⁺ K⁻K^±, Phys. Lett. B 699, 102 (2011). [CrossRef] [Google Scholar]

[19] L. Leśniak, P. Żenczykowski, Dalitz-plot dependence of CP asymmetry in B^±˙→ K^±K⁺ K⁻ decays, Phys. Lett. B 737, 201 (2014). [CrossRef] [Google Scholar]

[20] M. Albaladejo, B. Moussallam, Form factors of the isovector scalar current and the ηπ scattering phase shifts, Eur. Phys. J. C 75, 488 (2015). [CrossRef] [EDP Sciences] [Google Scholar]

[21] C.-L. Hsu et al. (Belle Collaboration), Measurement of branching fraction and direct CP asymmetry in charmless B⁻→ K⁺ K⁻π⁻ decays at Belle, Phys. Rev. D 96, 031101(R) (2017). [CrossRef] [Google Scholar]