publication . Article . Preprint . 2017

Isospin analysis of charmless B -meson decays

Jérôme Charles; Sébastien Descotes-Genon; Valentin Niess; O. Deschamps;
Open Access English
  • Published: 01 Aug 2017
  • Publisher: HAL CCSD
  • Country: France
Abstract
We discuss the determination of the CKM angle $\alpha$ using the non-leptonic two-body decays $B\to \pi\pi$, $B\to \rho\rho$ and $B\to \rho\pi$ using the latest data available. We illustrate the methods used in each case and extract the corresponding value of $\alpha$. Combining all these elements, we obtain the following determination of $\alpha_{\rm dir}=( 86.2^{+4.4}_{-4.0}~~ \cup~~ 178.4^{+3.9}_{-5.1})^\circ$. We assess the uncertainties associated to the breakdown of the isospin hypothesis and the choice of statistical framework in detail. We also determine the hadronic amplitudes (tree and penguin) describing the QCD dynamics involved in these decays, brie...
Subjects
arXiv: High Energy Physics::Experiment
free text keywords: [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], High Energy Physics - Phenomenology, High Energy Physics - Experiment, Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798, Physics, Quantum chromodynamics, B meson, Particle physics, Statistical analysis, Isospin, Cabibbo–Kobayashi–Maskawa matrix, Observable, Hadron
Funded by
EC| RBI-T-WINNING
Project
RBI-T-WINNING
Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division
  • Funder: European Commission (EC)
  • Project Code: 692194
  • Funding stream: H2020 | CSA
,
EC| ELUSIVES
Project
ELUSIVES
The Elusives Enterprise: Asymmetries of the Invisible Universe
  • Funder: European Commission (EC)
  • Project Code: 674896
  • Funding stream: H2020 | MSCA-ITN-ETN
,
EC| InvisiblesPlus
Project
InvisiblesPlus
InvisiblesPlus
  • Funder: European Commission (EC)
  • Project Code: 690575
  • Funding stream: H2020 | MSCA-RISE
32 references, page 1 of 3

[1] A. J. Bevan et al. [BaBar and Belle Collaborations], Eur. Phys. J. C 74 (2014) 3026 doi:10.1140/epjc/s10052-014-3026-9 [arXiv:1406.6311 [hep-ex]].

[2] R. Aaij et al. [LHCb Collaboration], Eur. Phys. J. C 73 (2013) no.4, 2373 doi:10.1140/epjc/s10052-013-2373-2 [arXiv:1208.3355 [hep-ex]].

[3] N. Cabibbo, Phys. Rev. Lett. 10 (1963) 531. doi:10.1103/PhysRevLett.10.531

[4] M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49 (1973) 652. doi:10.1143/PTP.49.652

[5] A. Hocker, H. Lacker, S. Laplace and F. Le Diberder, Eur. Phys. J. C 21 (2001) 225 doi:10.1007/s100520100729 [hep-ph/0104062].

[6] J. Charles et al. [CKM tter Group], Eur. Phys. J. C 41 (2005) no.1, 1 doi:10.1140/epjc/s2005-02169-1 [hep-ph/0406184].

[7] J. Charles et al., Phys. Rev. D 84 (2011) 033005 doi:10.1103/PhysRevD.84.033005 [arXiv:1106.4041 [hep-ph]].

[8] J. Charles et al., Phys. Rev. D 91 (2015) doi:10.1103/PhysRevD.91.073007 [arXiv:1501.05013 [hep-ph]].

[16] H. J. Lipkin, Y. Nir, H. R. Quinn and A. Snyder, Phys. Rev. D 44 (1991) 1454. doi:10.1103/PhysRevD.44.1454

[17] D. Boutigny et al. [BaBar Collaboration], \The BABAR physics book: Physics at an asymmetric B factory," SLAC-R-0504, SLAC-R-504, SLAC-0504, SLAC-504.

[23] S. S. Wilks, Ann. Math. Statist. 9 (1938), no. 1, 60.

[24] B. Aubert et al. [BaBar Collaboration], Phys. Rev. D 75 (2007) 012008 doi:10.1103/PhysRevD.75.012008 [hep-ex/0608003].

[25] Y.-T. Duh et al. [Belle Collaboration], Phys. Rev. D 87 (2013) no.3, 031103 doi:10.1103/PhysRevD.87.031103 [arXiv:1210.1348 [hep-ex]].

[26] T. Aaltonen et al. [CDF Collaboration], Phys. Rev. Lett. 106 (2011) 181802 doi:10.1103/PhysRevLett.106.181802 [arXiv:1103.5762 [hep-ex]].

[27] A. Bornheim et al. [CLEO Collaboration], Phys. Rev. D 68 (2003) 052002 Erratum: [Phys. Rev. D 75 (2007) 119907] doi:10.1103/PhysRevD.75.119907, 10.1103/PhysRevD.68.052002 [hep-ex/0302026].

32 references, page 1 of 3
Abstract
We discuss the determination of the CKM angle $\alpha$ using the non-leptonic two-body decays $B\to \pi\pi$, $B\to \rho\rho$ and $B\to \rho\pi$ using the latest data available. We illustrate the methods used in each case and extract the corresponding value of $\alpha$. Combining all these elements, we obtain the following determination of $\alpha_{\rm dir}=( 86.2^{+4.4}_{-4.0}~~ \cup~~ 178.4^{+3.9}_{-5.1})^\circ$. We assess the uncertainties associated to the breakdown of the isospin hypothesis and the choice of statistical framework in detail. We also determine the hadronic amplitudes (tree and penguin) describing the QCD dynamics involved in these decays, brie...
Subjects
arXiv: High Energy Physics::Experiment
free text keywords: [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], High Energy Physics - Phenomenology, High Energy Physics - Experiment, Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798, Physics, Quantum chromodynamics, B meson, Particle physics, Statistical analysis, Isospin, Cabibbo–Kobayashi–Maskawa matrix, Observable, Hadron
Funded by
EC| RBI-T-WINNING
Project
RBI-T-WINNING
Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division
  • Funder: European Commission (EC)
  • Project Code: 692194
  • Funding stream: H2020 | CSA
,
EC| ELUSIVES
Project
ELUSIVES
The Elusives Enterprise: Asymmetries of the Invisible Universe
  • Funder: European Commission (EC)
  • Project Code: 674896
  • Funding stream: H2020 | MSCA-ITN-ETN
,
EC| InvisiblesPlus
Project
InvisiblesPlus
InvisiblesPlus
  • Funder: European Commission (EC)
  • Project Code: 690575
  • Funding stream: H2020 | MSCA-RISE
32 references, page 1 of 3

[1] A. J. Bevan et al. [BaBar and Belle Collaborations], Eur. Phys. J. C 74 (2014) 3026 doi:10.1140/epjc/s10052-014-3026-9 [arXiv:1406.6311 [hep-ex]].

[2] R. Aaij et al. [LHCb Collaboration], Eur. Phys. J. C 73 (2013) no.4, 2373 doi:10.1140/epjc/s10052-013-2373-2 [arXiv:1208.3355 [hep-ex]].

[3] N. Cabibbo, Phys. Rev. Lett. 10 (1963) 531. doi:10.1103/PhysRevLett.10.531

[4] M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49 (1973) 652. doi:10.1143/PTP.49.652

[5] A. Hocker, H. Lacker, S. Laplace and F. Le Diberder, Eur. Phys. J. C 21 (2001) 225 doi:10.1007/s100520100729 [hep-ph/0104062].

[6] J. Charles et al. [CKM tter Group], Eur. Phys. J. C 41 (2005) no.1, 1 doi:10.1140/epjc/s2005-02169-1 [hep-ph/0406184].

[7] J. Charles et al., Phys. Rev. D 84 (2011) 033005 doi:10.1103/PhysRevD.84.033005 [arXiv:1106.4041 [hep-ph]].

[8] J. Charles et al., Phys. Rev. D 91 (2015) doi:10.1103/PhysRevD.91.073007 [arXiv:1501.05013 [hep-ph]].

[16] H. J. Lipkin, Y. Nir, H. R. Quinn and A. Snyder, Phys. Rev. D 44 (1991) 1454. doi:10.1103/PhysRevD.44.1454

[17] D. Boutigny et al. [BaBar Collaboration], \The BABAR physics book: Physics at an asymmetric B factory," SLAC-R-0504, SLAC-R-504, SLAC-0504, SLAC-504.

[23] S. S. Wilks, Ann. Math. Statist. 9 (1938), no. 1, 60.

[24] B. Aubert et al. [BaBar Collaboration], Phys. Rev. D 75 (2007) 012008 doi:10.1103/PhysRevD.75.012008 [hep-ex/0608003].

[25] Y.-T. Duh et al. [Belle Collaboration], Phys. Rev. D 87 (2013) no.3, 031103 doi:10.1103/PhysRevD.87.031103 [arXiv:1210.1348 [hep-ex]].

[26] T. Aaltonen et al. [CDF Collaboration], Phys. Rev. Lett. 106 (2011) 181802 doi:10.1103/PhysRevLett.106.181802 [arXiv:1103.5762 [hep-ex]].

[27] A. Bornheim et al. [CLEO Collaboration], Phys. Rev. D 68 (2003) 052002 Erratum: [Phys. Rev. D 75 (2007) 119907] doi:10.1103/PhysRevD.75.119907, 10.1103/PhysRevD.68.052002 [hep-ex/0302026].

32 references, page 1 of 3
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