Abstract
The decay B ± → DK ± followed by the subsequent decay of the D meson into final states involving a neutral kaon can be used to determine the CKM angle γ. We study CP violation effects due to mixing and decay of the final state kaon. We find that ignoring these effects produces a shift in γ of order ϵ K /r B , an enhancement of 1/r B compared to the naive expectation. We then show how to take these effects into account such that, in principle, they will not introduce any theoretical error in the extraction of γ.
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G.C. Branco, L. Lavoura and J. P. Silva, CP violation, Clarendon Press, Oxford U.K. (1999).
M. Gronau and D. Wyler, On determining a weak phase from CP asymmetries in charged B decays, Phys. Lett. B 265 (1991) 172 [INSPIRE].
D. Atwood, I. Dunietz and A. Soni, Improved methods for observing CP-violation in B ± → KD and measuring the CKM phase gamma, Phys. Rev. D 63 (2001) 036005 [hep-ph/0008090] [INSPIRE].
A. Giri, Y. Grossman, A. Soffer and J. Zupan, Determining gamma using B ± → DK ± with multibody D decays, Phys. Rev. D 68 (2003) 054018 [hep-ph/0303187] [INSPIRE].
Belle collaboration, A. Poluektov et al., Measurement of ϕ 3 with Dalitz plot analysis of B ± → D (∗) K ± decay, Phys. Rev. D 70 (2004) 072003 [hep-ex/0406067] [INSPIRE].
M. Gronau and D. London, How to determine all the angles of the unitarity triangle from \( B_d^0\to D{K_s} \) and \( B_s^0\to {D_{\varphi }} \), Phys. Lett. B 253 (1991) 483 [INSPIRE].
B. Kayser and D. London, Exploring CP-violation with \( B_d^0\to D{K_S} \) decays, Phys. Rev. D 61 (2000) 116013 [hep-ph/9909561] [INSPIRE].
Y.I. Azimov, Phenomenology of neutral D meson decays and double flavor oscillations, Eur. Phys. J. A 4 (1999) 21 [hep-ph/9808386] [INSPIRE].
H.J. Lipkin and Z.-z. Xing, Flavor symmetry, \( {K^0}-{{\overline{K}}^0} \) mixing and new physics effects on CP-violation in D ± and \( D_s^{\pm } \) decays, Phys. Lett. B 450 (1999) 405 [hep-ph/9901329] [INSPIRE].
I. Bigi and A. Sanda, A ’Known’ CP asymmetry in tau decays, Phys. Lett. B 625 (2005) 47 [hep-ph/0506037] [INSPIRE].
G. Calderon, D. Delepine and G.L. Castro, Is there a paradox in CP asymmetries of τ ± →K L,S π ± ν decays?, Phys. Rev. D 75 (2007) 076001 [hep-ph/0702282] [INSPIRE].
Y. Grossman and Y. Nir, CP Violation in τ → νπK S and D → πK S : The Importance of K S − K L Interference, JHEP 04 (2012) 002 [arXiv:1110.3790] [INSPIRE].
Y. Grossman, A. Soffer and J. Zupan, The effect of \( D-\overline{D} \) mixing on the measurement of gamma in B → DK decays, Phys. Rev. D 72 (2005) 031501 [hep-ph/0505270] [INSPIRE].
J.P. Silva and A. Soffer, Impact of \( {D^0}-{{\overline{D}}^0} \) mixing on the experimental determination of gamma, Phys. Rev. D 61 (2000) 112001 [hep-ph/9912242] [INSPIRE].
A. Amorim, M.G. Santos and J.P. Silva, New CP-violating parameters in cascade decays, Phys. Rev. D 59 (1999) 056001 [hep-ph/9807364] [INSPIRE].
M. Rama, Effect of D-Dbar mixing in the extraction of γ with B − → D K − and B − → D 0π− decays, Phys. Rev. D 89 (2014) 014021 [arXiv:1307.4384] [INSPIRE].
M. Gronau, Y. Grossman and J.L. Rosner, Measuring \( {D^0}-{{\overline{D}}^0} \) mixing and relative strong phases at a charm factory, Phys. Lett. B 508 (2001) 37 [hep-ph/0103110] [INSPIRE].
A. Soffer, Improving measurements of the CKM phase gamma using charm factory results, hep-ex/9801018 [INSPIRE].
A. Soffer, Discrete ambiguities in the measurement of the weak phase gamma, Phys. Rev. D 60 (1999) 054032 [hep-ph/9902313] [INSPIRE].
D. Atwood and A. Soni, Role of charm factory in extracting CKM phase information via B → DK, Phys. Rev. D 68 (2003) 033003 [hep-ph/0304085] [INSPIRE].
E791 collaboration, E.M. Aitala et al., Experimental Evidence for a Light and Broad Scalar Resonance in D + → π−π+π+ Decay, Phys. Rev. Lett. 86 (2001) 770.
BaBar collaboration, P. del Amo Sanchez et al., Evidence for direct CP-violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B ∓ → D (∗) K (∗)∓ decays, Phys. Rev. Lett. 105 (2010) 121801 [arXiv:1005.1096] [INSPIRE].
Belle collaboration, A. Poluektov et al., Evidence for direct CP-violation in the decay B ± → D (∗) K ± , \( D\to K_s^{\pm }{\pi^{+}}{\pi^{-}} \) and measurement of the CKM phase ϕ 3, Phys. Rev. D 81 (2010) 112002 [arXiv:1003.3360] [INSPIRE].
CLEO collaboration, H. Muramatsu et al., Dalitz analysis of \( {D^0}\to K_S^0{\pi^{+}}{\pi^{-}} \), Phys. Rev. Lett. 89 (2002) 251802 [Erratum ibid. 90 (2003) 059901] [hep-ex/0207067] [INSPIRE].
J. Brod and J. Zupan, The ultimate theoretical error on γ from B → DK decays, JHEP 01 (2014) 051 [arXiv:1308.5663] [INSPIRE].
LHCb collaboration, M. Schlupp, Measurement of γ from B → DK decays at LHCb, EPJ Web Conf. 60 (2013) 15002 [arXiv:1307.7018] [INSPIRE].
T. Aushev et al., Physics at Super B Factory, arXiv:1002.5012 [INSPIRE].
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ArXiv ePrint: 1311.3575
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Grossman, Y., Savastio, M. Effects of \( {K^0}-{{\overline{K}}^0} \) mixing on determining γ from B ± → DK ± . J. High Energ. Phys. 2014, 8 (2014). https://doi.org/10.1007/JHEP03(2014)008
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DOI: https://doi.org/10.1007/JHEP03(2014)008