Measurement of Angular and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math> Asymmetries in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mn>0</mn></msup><mo stretchy="false">→</mo><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>−</mo></msup><msup><mi>μ</mi><mo>+</mo></msup><msup><mi>μ</mi><mo>−</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mn>0</mn></msup><mo stretchy="false">→</mo><msup><mi>K</mi><mo>+</mo></msup><msup><mi>K</mi><mo>−</mo></msup><msup><mi>μ</mi><mo>+</mo></msup><msup><mi>μ</mi><mo>−</mo></msup></math> Decays

doi:10.1103/PhysRevLett.121.091801

Open Access

Measurement of Angular and $C P$ Asymmetries in $D^{0} \to π^{+} π^{-} μ^{+} μ^{-}$ and $D^{0} \to K^{+} K^{-} μ^{+} μ^{-}$ Decays

R. Aaij et al. (LHCb Collaboration)

Phys. Rev. Lett. 121, 091801 – Published 30 August 2018

S. L. Glashow, J. Iliopoulos, and L. Maiani, Weak interactions with lepton-hadron symmetry, Phys. Rev. D 2, 1285 (1970).
A. Paul, I. I. Bigi, and S. Recksiegel, On $D \to X_{u} ℓ^{+} ℓ^{-}$ within the Standard Model and frameworks like the littlest Higgs model with T parity, Phys. Rev. D 83, 114006 (2011).
S. Fajfer, N. Košnik, and S. Prelovšek, Updated constraints on new physics in rare charm decays, Phys. Rev. D 76, 074010 (2007).
L. Cappiello, O. Catà, and G. D’Ambrosio, Standard model prediction and new physics tests for $D^{0} \to h_{1}^{+} h_{2}^{-} ℓ^{+} ℓ^{-}$ ( $h = π$ , $K$ ; $ℓ = e$ , $μ$ ), J. High Energy Phys. 2013, 135.
S. de Boer and G. Hiller, Null tests from angular distributions in $D \to P_{1} P_{2} l^{+} l^{-}$ , $l = e$ , $μ$ decays on and off peak, [Phys. Rev. D]. (to be published)].
S. Fajfer and S. Prelovšek, Effects of littlest Higgs model in rare D meson decays, Phys. Rev. D 73, 054026 (2006).
I. I. Bigi and A. Paul, On $C P$ asymmetries in two-, three- and four-body $D$ decays, J. High Energy Phys. 2012, 021.
A. Paul, A. de la Puente, and I. I. Bigi, Manifestations of warped extra dimension in rare charm decays and asymmetries, Phys. Rev. D 90, 014035 (2014).
S. Fajfer and N. Košnik, Resonance catalyzed $C P$ asymmetries in $D \to P ℓ^{+} ℓ^{-}$ , Phys. Rev. D 87, 054026 (2013).
S. Fajfer and N. Košnik, Prospects of discovering new physics in rare charm decays, Eur. Phys. J. C 75, 567 (2015).
S. de Boer and G. Hiller, Flavor and new physics opportunities with rare charm decays into leptons, Phys. Rev. D 93, 074001 (2016).
R. Aaij et al. (LHCb Collaboration), Observation of $D^{0}$ Meson Decays to $π^{+} π^{-} μ^{+} μ^{-}$ and $K^{+} K^{-} μ^{+} μ^{-}$ Final States, Phys. Rev. Lett. 119, 181805 (2017).
A. A. Alves Jr. et al. (LHCb Collaboration), The LHCb detector at the LHC, J. Instrum. 3, S08005 (2008).
R. Aaij et al. (LHCb Collaboration), LHCb detector performance, Int. J. Mod. Phys. A 30, 1530022 (2015).
R. Aaij et al., The LHCb trigger and its performance in 2011, J. Instrum. 8, P04022 (2013).
R. Aaij et al. (LHCb Collaboration), Evidence for $C P$ Violation in Time-Integrated $D^{0} \to h^{-} h^{+}$ Decay Rates, Phys. Rev. Lett. 108, 111602 (2012).
L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone, Classification and Regression Trees (Wadsworth International Group, Belmont, California, 1984).
B. P. Roe, H.-J. Yang, J. Zhu, Y. Liu, I. Stancu, and G. McGregor, Boosted decision trees as an alternative to artificial neural networks for particle identification, Nucl. Instrum. Methods Phys. Res., Sect. A 543, 577 (2005).
A. Hoecker et al., TMVA—Toolkit for Multivariate Data Analysis, Proc. Sci. 2007, 040.
I. Belyaev et al., Handling of the generation of primary events in Gauss, the LHCb simulation framework, J. Phys. Conf. Ser. 331, 032047 (2011).
M. Clemencic, G. Corti, S. Easo, C. R. Jones, S. Miglioranzi, M. Pappagallo, and P. Robbe, The LHCb simulation application, Gauss: Design, evolution and experience, J. Phys. Conf. Ser. 331, 032023 (2011).
F. Archilli et al., Performance of the muon identification at LHCb, J. Instrum. 8, P10020 (2013).
R. Aaij et al., Selection and Processing of Calibration Samples to Measure the Particle Identification Performance of the LHCb Experiment in Run 2, , Selection and processing of calibration samples to measure the particle identification performance of the LHCb experiment in Run 2, arXiv:1803.00824.
B. Viaud, On the potential of multivariate techniques for the determination of multidimensional efficiencies, Eur. Phys. J. Plus 131, 191 (2016).
R. Aaij et al. (LHCb Collaboration), Measurement of $C P$ asymmetry in $D^{0} \to K^{-} K^{+}$ and $D^{0} \to π^{-} π^{+}$ decays, J. High Energy Phys. 2014, 041.
N. L. Johnson, Systems of frequency curves generated by methods of translation, Biometrika 36, 149 (1949).

[c1] S. L. Glashow, J. Iliopoulos, and L. Maiani, Weak interactions with lepton-hadron symmetry, Phys. Rev. D 2, 1285 (1970).

[c2] A. Paul, I. I. Bigi, and S. Recksiegel, On $D \to X_{u} ℓ^{+} ℓ^{-}$ within the Standard Model and frameworks like the littlest Higgs model with T parity, Phys. Rev. D 83, 114006 (2011).

[c3] S. Fajfer, N. Košnik, and S. Prelovšek, Updated constraints on new physics in rare charm decays, Phys. Rev. D 76, 074010 (2007).

[c4] L. Cappiello, O. Catà, and G. D’Ambrosio, Standard model prediction and new physics tests for $D^{0} \to h_{1}^{+} h_{2}^{-} ℓ^{+} ℓ^{-}$ ( $h = π$ , $K$ ; $ℓ = e$ , $μ$ ), J. High Energy Phys. 2013, 135.

[c5] S. de Boer and G. Hiller, Null tests from angular distributions in $D \to P_{1} P_{2} l^{+} l^{-}$ , $l = e$ , $μ$ decays on and off peak, [Phys. Rev. D]. (to be published)].

[c6] S. Fajfer and S. Prelovšek, Effects of littlest Higgs model in rare D meson decays, Phys. Rev. D 73, 054026 (2006).

[c7] I. I. Bigi and A. Paul, On $C P$ asymmetries in two-, three- and four-body $D$ decays, J. High Energy Phys. 2012, 021.

[c8] A. Paul, A. de la Puente, and I. I. Bigi, Manifestations of warped extra dimension in rare charm decays and asymmetries, Phys. Rev. D 90, 014035 (2014).

[c9] S. Fajfer and N. Košnik, Resonance catalyzed $C P$ asymmetries in $D \to P ℓ^{+} ℓ^{-}$ , Phys. Rev. D 87, 054026 (2013).

[c10] S. Fajfer and N. Košnik, Prospects of discovering new physics in rare charm decays, Eur. Phys. J. C 75, 567 (2015).

[c11] S. de Boer and G. Hiller, Flavor and new physics opportunities with rare charm decays into leptons, Phys. Rev. D 93, 074001 (2016).

[c12] R. Aaij et al. (LHCb Collaboration), Observation of $D^{0}$ Meson Decays to $π^{+} π^{-} μ^{+} μ^{-}$ and $K^{+} K^{-} μ^{+} μ^{-}$ Final States, Phys. Rev. Lett. 119, 181805 (2017).

[c13] A. A. Alves Jr. et al. (LHCb Collaboration), The LHCb detector at the LHC, J. Instrum. 3, S08005 (2008).

[c14] R. Aaij et al. (LHCb Collaboration), LHCb detector performance, Int. J. Mod. Phys. A 30, 1530022 (2015).

[c15] R. Aaij et al., The LHCb trigger and its performance in 2011, J. Instrum. 8, P04022 (2013).

[c16] R. Aaij et al. (LHCb Collaboration), Evidence for $C P$ Violation in Time-Integrated $D^{0} \to h^{-} h^{+}$ Decay Rates, Phys. Rev. Lett. 108, 111602 (2012).

[c17] L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone, Classification and Regression Trees (Wadsworth International Group, Belmont, California, 1984).

[c18] B. P. Roe, H.-J. Yang, J. Zhu, Y. Liu, I. Stancu, and G. McGregor, Boosted decision trees as an alternative to artificial neural networks for particle identification, Nucl. Instrum. Methods Phys. Res., Sect. A 543, 577 (2005).

[c19] A. Hoecker et al., TMVA—Toolkit for Multivariate Data Analysis, Proc. Sci. 2007, 040.

[c20] I. Belyaev et al., Handling of the generation of primary events in Gauss, the LHCb simulation framework, J. Phys. Conf. Ser. 331, 032047 (2011).

[c21] M. Clemencic, G. Corti, S. Easo, C. R. Jones, S. Miglioranzi, M. Pappagallo, and P. Robbe, The LHCb simulation application, Gauss: Design, evolution and experience, J. Phys. Conf. Ser. 331, 032023 (2011).

[c22] F. Archilli et al., Performance of the muon identification at LHCb, J. Instrum. 8, P10020 (2013).

[c23] R. Aaij et al., Selection and Processing of Calibration Samples to Measure the Particle Identification Performance of the LHCb Experiment in Run 2, , Selection and processing of calibration samples to measure the particle identification performance of the LHCb experiment in Run 2, arXiv:1803.00824.

[c24] B. Viaud, On the potential of multivariate techniques for the determination of multidimensional efficiencies, Eur. Phys. J. Plus 131, 191 (2016).

[c25] R. Aaij et al. (LHCb Collaboration), Measurement of $C P$ asymmetry in $D^{0} \to K^{-} K^{+}$ and $D^{0} \to π^{-} π^{+}$ decays, J. High Energy Phys. 2014, 041.

[c26] N. L. Johnson, Systems of frequency curves generated by methods of translation, Biometrika 36, 149 (1949).

Physical Review Letters

Measurement of Angular and CP Asymmetries in D0→π+π−μ+μ− and D0→K+K−μ+μ− Decays

R. Aaij et al. (LHCb Collaboration)

Phys. Rev. Lett. 121, 091801 – Published 30 August 2018

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Measurement of Angular and $C P$ Asymmetries in $D^{0} \to π^{+} π^{-} μ^{+} μ^{-}$ and $D^{0} \to K^{+} K^{-} μ^{+} μ^{-}$ Decays