Abstract
The charmless three-body decays B
0(
s)
→ K
0S
h+h′ − (where h(′) =
where fs/fd represents the ratio of hadronisation fractions of the B 0 s and B0 mesons.
![](https://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2FJHEP11%282017%29027/MediaObjects/13130_2017_7003_Figa_HTML.gif)
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
M. Beneke, Corrections to sin(2
β ) from CP asymmetries in B 0 → (π 0,ρ 0,η ,η ′,ω , ϕ)K 0s decays, Phys. Lett. B 620 (2005) 143 [hep-ph/0505075] [INSPIRE].G. Buchalla, G. Hiller, Y. Nir and G. Raz, The pattern of CP asymmetries in b → s transitions, JHEP 09 (2005) 074 [hep-ph/0503151] [INSPIRE].
R. Dutta and S. Gardner, CP asymmetries in B → f 0 K 0s decays, Phys. Rev. D 78 (2008) 034021 [arXiv:0805.1963] [INSPIRE].
Y. Grossman and M.P. Worah, CP asymmetries in B decays with new physics in decay amplitudes, Phys. Lett. B 395 (1997) 241 [hep-ph/9612269] [INSPIRE].
D. London and A. Soni, Measuring the CP angle
β in hadronic b → s penguin decays, Phys. Lett. B 407 (1997) 61 [hep-ph/9704277] [INSPIRE].M. Ciuchini, E. Franco, G. Martinelli, A. Masiero and L. Silvestrini, CP violating B decays in the standard model and supersymmetry, Phys. Rev. Lett. 79 (1997) 978 [hep-ph/9704274] [INSPIRE].
Belle collaboration, J. Dalseno et al., Time-dependent Dalitz plot measurement of CP parameters in B 0 → K 0s
π +π − decays, Phys. Rev. D 79 (2009) 072004 [arXiv:0811.3665] [INSPIRE].BaBar collaboration, B. Aubert et al., Time-dependent amplitude analysis of B 0 → K 0s
π +π −, Phys. Rev. D 80 (2009) 112001 [arXiv:0905.3615] [INSPIRE].Belle collaboration, Y. Nakahama et al., Measurement of CP violating asymmetries in B 0 → K 0s K + K − decays with a time-dependent Dalitz approach, Phys. Rev. D 82 (2010) 073011 [arXiv:1007.3848] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Study of CP-violation in Dalitz-plot analyses of B 0 → K 0s K + K −, B + → K + K − K +, and B + → K 0s K 0s K +, Phys. Rev. D 85 (2012) 112010 [arXiv:1201.5897] [INSPIRE].
Heavy Flavor Averaging Group, Y. Amhis et al., Averages of b-hadron, c-hadron and
τ -lepton properties as of summer 2016, arXiv:1612.07233 [INSPIRE], updated results and plots available at http://www.slac.stanford.edu/xorg/hfag/.M. Ciuchini, M. Pierini and L. Silvestrini, \( {B}_s^0\to {K}^{\left(*\right)0}{\overline{K}}^{\left(\ast \right)0} \) decays: the golden channels for new physics searches, Phys. Rev. Lett. 100 (2008) 031802 [hep-ph/0703137] [INSPIRE].
M. Ciuchini, M. Pierini and L. Silvestrini, New bounds on the CKM matrix from B → K
π π Dalitz plot analyses, Phys. Rev. D 74 (2006) 051301 [hep-ph/0601233] [INSPIRE].M. Gronau, D. Pirjol, A. Soni and J. Zupan, Improved method for CKM constraints in charmless three-body B and B 0 s decays, Phys. Rev. D 75 (2007) 014002 [hep-ph/0608243] [INSPIRE].
J. Charles, S. Descotes-Genon, J. Ocariz and A. Pérez Pérez, Disentangling weak and strong interactions in B → K *(→ K
π )π Dalitz-plot analyses, Eur. Phys. J. C 77 (2017) 561 [arXiv:1704.01596] [INSPIRE].N. Rey-Le Lorier and D. London, Measuring gamma with B → K
π π and \( B\to KK\overline{K} \) decays, Phys. Rev. D 85 (2012) 016010 [arXiv:1109.0881] [INSPIRE].B. Bhattacharya, M. Imbeault and D. London, Extraction of the CP-violating phase
γ using B → Kπ π and \( B\to KK\overline{K} \) decays, Phys. Lett. B 728 (2014) 206 [arXiv:1303.0846] [INSPIRE].B. Bhattacharya and D. London, Using U spin to extract
γ from charmless B → PPP decays, JHEP 04 (2015) 154 [arXiv:1503.00737] [INSPIRE].BaBar collaboration, J.P. Lees et al., Amplitude Analysis of B 0 → K +
π −π 0 and Evidence of Direct CP violation in B → K *π decays, Phys. Rev. D 83 (2011) 112010 [arXiv:1105.0125] [INSPIRE].BaBar collaboration, J.P. Lees et al., Evidence for CP violation in B + → K *(892)+
π 0 from a Dalitz plot analysis of B + → K 0Sπ +π 0 decays, Phys. Rev. D 96 (2017) 072001 [arXiv:1501.00705] [INSPIRE].M. Ciuchini, M. Pierini and L. Silvestrini, Hunting the CKM weak phase with time-integrated Dalitz analyses of B 0 s → K
π π decays, Phys. Lett. B 645 (2007) 201 [hep-ph/0602207] [INSPIRE].H.-Y. Cheng and C.-K. Chua, Branching fractions and direct CP violation in charmless three-body decays of B mesons, Phys. Rev. D 88 (2013) 114014 [arXiv:1308.5139] INSPIRE].
H.-Y. Cheng and C.-K. Chua, Charmless three-body decays of B s mesons, Phys. Rev. D 89 (2014) 074025 [arXiv:1401.5514] [INSPIRE].
Y. Li, Branching fractions and direct CP asymmetries of \( {\overline{B}}_s^0\to {K}^0{h}^{+}{h}^{\prime -}\left({h}^{\left(\prime \right)}=K,\pi \right) \) decays, Sci. China Phys. Mech. Astron. 58 (2015) 031001 [arXiv:1401.5948] [INSPIRE].
Y. Li, Comprehensive study of \( {\overline{B}}^0\to {K}^0\left({\overline{K}}^0\right){K}^{\mp }{\pi}^{\pm } \) decays in the factorization approach, Phys. Rev. D 89 (2014) 094007 [arXiv:1402.6052] [INSPIRE].
W.-F. Wang and H.-n. Li, Quasi-two-body decays B → K
ρ → Kπ π in perturbative QCD approach, Phys. Lett. B 763 (2016) 29 [arXiv:1609.04614] [INSPIRE].Y. Li, A.-J. Ma, W.-F. Wang and Z.-J. Xiao, Quasi-two-body decays B 0( s) → P
ρ ′ (1450), Pρ ′ ′ (1700) → Pπ π in the perturbative QCD approach, Phys. Rev. D 96 (2017) 036014 [arXiv:1704.07566] [INSPIRE].X.-G. He, G.-N. Li and D. Xu, SU(3) and isospin breaking effects on B → PPP amplitudes, Phys. Rev. D 91 (2015) 014029 [arXiv:1410.0476] [INSPIRE].
Belle collaboration, A. Garmash et al., Study of B meson decays to three body charmless hadronic final states, Phys. Rev. D 69 (2004) 012001 [hep-ex/0307082] [INSPIRE].
Belle collaboration, A. Garmash et al., Dalitz analysis of three-body charmless B 0 → K 0
π +π − decay, Phys. Rev. D 75 (2007) 012006 [hep-ex/0610081] [INSPIRE].BaBar collaboration, P. del Amo Sanchez et al., Observation of the rare decay B 0 → K 0s K ±
π ∓, Phys. Rev. D 82 (2010) 031101 [arXiv:1003.0640] [INSPIRE].LHCb collaboration, Study of B 0( s) → K 0S h + h ′ − decays with first observation of B 0 s → K 0S K ±
π ∓ and B 0 s → K 0Sπ +π −, JHEP 10 (2013) 143 [arXiv:1307.7648] [INSPIRE].K. De Bruyn, R. Fleischer, R. Knegjens, P. Koppenburg, M. Merk and N. Tuning, Branching Ratio Measurements of B s Decays, Phys. Rev. D 86 (2012) 014027 [arXiv:1204.1735] [INSPIRE].
LHCb collaboration, The LHCb Detector at the LHC, 2008 JINST 3 S08005 [INSPIRE].
LHCb collaboration, LHCb detector performance, Int. J. Mod. Phys. A 30 (2015) 1530022 [arXiv:1412.6352] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, A brief introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].
I. Belyaev et al., Handling of the generation of primary events in Gauss, the LHCb simulation framework, J. Phys. Conf. Ser. 331 (2011) 032047 [INSPIRE].
D.J. Lange, The EvtGen particle decay simulation package, Nucl. Instrum. Meth. A 462 (2001) 152 [INSPIRE].
P. Golonka and Z. Was, PHOTOS Monte Carlo: A precision tool for QED corrections in Z and W decays, Eur. Phys. J. C 45 (2006) 97 [hep-ph/0506026] [INSPIRE].
Geant4 collaboration, J. Allison et al., Geant4 developments and applications, IEEE Trans. Nucl. Sci. 53 (2006) 270 [INSPIRE].
Geant4 collaboration, S. Agostinelli et al., geant4: A simulation toolkit, Nucl. Instrum. Meth. A 506 (2003) 250 [INSPIRE].
M. Clemencic et al., The LHCb simulation application, Gauss: Design, evolution and experience, J. Phys. Conf. Ser. 331 (2011) 032023 [INSPIRE].
R. Aaij et al., The LHCb trigger and its performance in 2011, 2013 JINST 8 P04022 [arXiv:1211.3055] [INSPIRE].
V.V. Gligorov and M. Williams, Efficient, reliable and fast high-level triggering using a bonsai boosted decision tree, 2013 JINST 8 P02013 [arXiv:1210.6861] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
L. Breiman, J.H. Friedman, R.A. Olshen and C.J. Stone, Classification and regression trees, Wadsworth International Group, Belmont, California, U.S.A. (1984).
Y. Freund and R.E. Schapire, A decision-theoretic generalization of on-line learning and an application to boosting, J. Comput. Syst. Sci. 55 (1997) 119.
G. Punzi, Sensitivity of searches for new signals and its optimization, eConf C 030908 (2003) MODT002 [physics/0308063] [INSPIRE].
T. Skwarnicki, A study of the radiative cascade transitions between the Upsilon-prime and Upsilon resonances, Ph.D. Thesis, Institute of Nuclear Physics, Krakow (1986) [DESY-F31-86-02] [INSPIRE].
ARGUS collaboration, H. Albrecht et al., Exclusive hadronic decays of B mesons, Z. Phys. C 48 (1990) 543 [INSPIRE].
S.S. Wilks, The large-sample distribution of the likelihood ratio for testing composite hypotheses, Annals Math. Statist. 9 (1938) 60 [INSPIRE].
LHCb collaboration, Measurement of the fragmentation fraction ratio f s /f d and its dependence on B meson kinematics, JHEP 04 (2013) 001 [arXiv:1301.5286] [INSPIRE].
LHCb collaboration, Updated average f s /f d b-hadron production fraction ratio for 7 TeV pp collisions, LHCb-CONF-2013-011.
R.H. Dalitz, On the analysis of tau-meson data and the nature of the tau-meson, Phil. Mag. Ser. 44 (1953) 1068 [INSPIRE].
BaBar collaboration, B. Aubert et al., An amplitude analysis of the decay B ± →
π ±π ±π ∓, Phys. Rev. D 72 (2005) 052002 [hep-ex/0507025] [INSPIRE].M. Pivk and F.R. Le Diberder, sPlot: A statistical tool to unfold data distributions, Nucl. Instrum. Meth. A 555 (2005) 356 [physics/0402083] [INSPIRE].
LHCb collaboration, Measurement of the track reconstruction efficiency at LHCb, 2015 JINST 10 P02007 [arXiv:1408.1251] [INSPIRE].
G.J. Feldman and R.D. Cousins, A unified approach to the classical statistical analysis of small signals, Phys. Rev. D 57 (1998) 3873 [physics/9711021] [INSPIRE].
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.