Built on

R. M. Sternheimer and S. J. Lindenbaum, “Extension of the Isobaric Nucleon Model for Pion Production in Pion-Nucleon, Nucleon-Nucleon, and Antinucleon-Nucleon Interactions,” Phys. Rev. 123
1961
Earlier work this paper cites.
D. Herndon, P. Soding and R. J. Cashmore, “A Generalized Isobar Model Formalism,” Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Beneke, G. Buchalla, M. Neubert and C. T. Sachrajda, “QCD factorization for B → π π B\to\pi\pi decays: Strong phases and CP violation in the heavy quark limit,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
M. V. Polyakov, “Hard exclusive electroproduction of two pions and their resonances,” Nucl. Phys. B 555
1999
Earlier work this paper cites.
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
Earlier work this paper cites.
M. Diehl, T. Gousset and B. Pire, “Exclusive production of pion pairs in gamma* gamma collisions at large Q**2,” Phys. Rev. D 62
2000
Earlier work this paper cites.
M. Beneke, G. Buchalla, M. Neubert and C. T. Sachrajda, “QCD factorization in B → π K B\to\pi K , π π \pi\pi decays and extraction of Wolfenstein parameters,” Nucl. Phys. B 606
2001
Earlier work this paper cites.
M. Beneke and T. Feldmann, “Symmetry breaking corrections to heavy to light B meson form-factors at large recoil,” Nucl. Phys. B 592
2001
Earlier work this paper cites.
M. Beneke and M. Neubert, “QCD factorization for B → P P B\to PP and B → P V B\to PV decays,” Nucl. Phys. B 675
2003
Earlier work this paper cites.
M. Diehl, “Generalized parton distributions,” Phys. Rept. 388
2003
Earlier work this paper cites.
P. Ball and R. Zwicky, “ B d , s → ρ , ω , K ∗ , ϕ B_{d,s}\to\rho,\omega,K^{*},\phi decay form-factors from light-cone sum rules revisited,” Phys. Rev. D 71
2005
Earlier work this paper cites.
H. Y. Cheng, C. K. Chua and A. Soni, “CP-violating asymmetries in B0 decays to K+ K- K0(S(L)) and K0(S) K0(S) K0(S(L)),” Phys. Rev. D 72
2005
Earlier work this paper cites.
M. Beneke, Talk given at the Three-Body Charmless B Decays Workshop, Paris, France, 1-3 Feb 2006
2006
Earlier work this paper cites.

Similar

H. Y. Cheng, C. K. Chua and K. C. Yang, “Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons,” Phys. Rev. D 73
2006
Cited alongside, same era.
H. Y. Cheng, C. K. Chua and A. Soni, “Charmless three-body decays of B B mesons,” Phys. Rev. D 76
Original
2007
Cited alongside, same era.
I. Bediaga, I. I. Bigi, A. Gomes, G. Guerrer, J. Miranda and A. C. d. Reis, “On a CP anisotropy measurement in the Dalitz plot,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
M. Beneke, T. Huber and X. Q. Li, “NNLO vertex corrections to non-leptonic B decays: Tree amplitudes,” Nucl. Phys. B 832
Original
2010
Cited alongside, same era.
J.-P. Dedonder, A. Furman, R. Kaminski, L. Lesniak and B. Loiseau, “S-, P- and D-wave final state interactions and CP violation in B ± → π ± π ∓ π ± B^{\pm}\to\pi^{\pm}\pi^{\mp}\pi^{\pm} decays,” Acta Phys. Polon. B 42

Then

G. Bell, M. Beneke, T. Huber and X. Q. Li, “Two-loop current–current operator contribution to the non-leptonic QCD penguin amplitude,” Phys. Lett. B 750
Original
2015
Later among the works it cites.
J. H. Alvarenga Nogueira, I. Bediaga, A. B. R. Cavalcante, T. Frederico and O. Lourenço, “ C P CP violation: Dalitz interference, C P T CPT , and final state interactions,” Phys. Rev. D 92
Original
2015
Later among the works it cites.
C. Wang, Z. H. Zhang, Z. Y. Wang and X. H. Guo, “Localized direct CP violation in B ± → ρ 0 ( ω ) π ± → π + π − π ± B^{\pm}\rightarrow\rho^{0}(\omega)\pi^{\pm}\rightarrow\pi^{+}\pi^{-}\pi^{\pm} ,” Eur. Phys. J. C 75
Original
2015
Later among the works it cites.
J. T. Daub, C. Hanhart and B. Kubis, “A model-independent analysis of final-state interactions in B ¯ d / s 0 → J / ψ π π {\overline{B}}_{d/s}^{0}\to J/\psi\pi\pi ,” JHEP 1602
Original
2016
Later among the works it cites.

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2017

CP Violation in Multibody $B$ Decays from QCD Factorization

Klein, Rebecca, Mannel, Thomas, Virto, Javier et al.

Understand

We test a data-driven approach based on QCD factorization for charmless three-body $B$-decays by confronting it to measurements of CP violation in $B^- \to \pi^- \pi^+ \pi^-$.

While some of the needed non-perturbative objects can be directly extracted from data, some others can, so far, only be modelled.
Although this approach is currently model dependent, we comment on the perspectives to reduce this model dependence.
While our model naturally accommodates the gross features of the Dalitz distribution, it cannot quantitatively explain the details seen in the current experimental data on local CP asymmetries.

Built on

R. M. Sternheimer and S. J. Lindenbaum, “Extension of the Isobaric Nucleon Model for Pion Production in Pion-Nucleon, Nucleon-Nucleon, and Antinucleon-Nucleon Interactions,” Phys. Rev. 123
1961
Earlier work this paper cites.
D. Herndon, P. Soding and R. J. Cashmore, “A Generalized Isobar Model Formalism,” Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Beneke, G. Buchalla, M. Neubert and C. T. Sachrajda, “QCD factorization for B → π π B\to\pi\pi decays: Strong phases and CP violation in the heavy quark limit,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
M. V. Polyakov, “Hard exclusive electroproduction of two pions and their resonances,” Nucl. Phys. B 555
1999
Earlier work this paper cites.
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
Earlier work this paper cites.
M. Diehl, T. Gousset and B. Pire, “Exclusive production of pion pairs in gamma* gamma collisions at large Q**2,” Phys. Rev. D 62
2000
Earlier work this paper cites.
M. Beneke, G. Buchalla, M. Neubert and C. T. Sachrajda, “QCD factorization in B → π K B\to\pi K , π π \pi\pi decays and extraction of Wolfenstein parameters,” Nucl. Phys. B 606
2001
Earlier work this paper cites.
M. Beneke and T. Feldmann, “Symmetry breaking corrections to heavy to light B meson form-factors at large recoil,” Nucl. Phys. B 592
2001
Earlier work this paper cites.
M. Beneke and M. Neubert, “QCD factorization for B → P P B\to PP and B → P V B\to PV decays,” Nucl. Phys. B 675
2003
Earlier work this paper cites.
M. Diehl, “Generalized parton distributions,” Phys. Rept. 388
2003
Earlier work this paper cites.
P. Ball and R. Zwicky, “ B d , s → ρ , ω , K ∗ , ϕ B_{d,s}\to\rho,\omega,K^{*},\phi decay form-factors from light-cone sum rules revisited,” Phys. Rev. D 71
2005
Earlier work this paper cites.
H. Y. Cheng, C. K. Chua and A. Soni, “CP-violating asymmetries in B0 decays to K+ K- K0(S(L)) and K0(S) K0(S) K0(S(L)),” Phys. Rev. D 72
2005
Earlier work this paper cites.
M. Beneke, Talk given at the Three-Body Charmless B Decays Workshop, Paris, France, 1-3 Feb 2006
2006
Earlier work this paper cites.