CP Violation

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R Aaij - One of the best experts on this subject based on the ideXlab platform.

  • search for CP Violation in ξ c pk π decays using model independent techniques
    European Physical Journal C, 2020
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, C Aidala, T Ackernley, H Afsharnia, S Aiola, S Akar
    Abstract:

    A first search for $$CP$$ Violation in the Cabibbo-suppressed $${{{\varXi }} ^+_{c}} \rightarrow {p} {{K} ^-} {{\pi } ^+} $$ decay is performed using both a binned and an unbinned model-independent technique in the Dalitz plot. The studies are based on a sample of proton-proton collision data, corresponding to an integrated luminosity of $$3.0\,\text {fb} ^{-1} $$ , and collected by the LHCb experiment at centre-of-mass energies of 7 and $$8\,\text {TeV} $$ . The data are consistent with the hypothesis of no $$CP$$ Violation.

  • search for CP Violation and observation of p Violation in lambda_b 0 to p pi pi pi decays
    Physical Review D, 2020
    Co-Authors: R Aaij, G Ciezarek, P Collins, U Straumann, S Roiser, W Qian, A Vollhardt, V Zhukov, M W Dudek, Simone Meloni
    Abstract:

    A search for CP Violation in the Λb0→pπ-π+π- decay is performed using LHCb data corresponding to an integrated luminosity of 6.6  fb-1 collected in pp collisions at center-of-mass energies of 7, 8 and 13 TeV. The analysis uses both triple product asymmetries and the unbinned energy test method. The highest significances of CP asymmetry are 2.9 standard deviations from triple product asymmetries and 3.0 standard deviations for the energy test method. Once the global p-value is considered, all results are consistent with no CP Violation. Parity Violation is observed at a significance of 5.5 standard deviations for the triple product asymmetry method and 5.3 standard deviations for the energy test method. The reported deviations are given in regions of phase space.

  • observation of several sources of CP Violation in b π π π decays
    Physical Review Letters, 2020
    Co-Authors: R Aaij, G Ciezarek, P Collins, U Straumann, S Roiser, W Qian, A Vollhardt, V Zhukov, A Piucci, D P Ohanlon
    Abstract:

    Observations are reported of different sources of CP Violation from an amplitude analysis of B^{+}→π^{+}π^{+}π^{-} decays, based on a data sample corresponding to an integrated luminosity of 3  fb^{-1} of pp collisions recorded with the LHCb detector. A large CP asymmetry is observed in the decay amplitude involving the tensor f_{2}(1270) resonance, and in addition significant CP Violation is found in the π^{+}π^{-}S wave at low invariant mass. The presence of CP Violation related to interference between the π^{+}π^{-}S wave and the P wave B^{+}→ρ(770)^{0}π^{+} amplitude is also established; this causes large local asymmetries but cancels when integrated over the phase space of the decay. The results provide both qualitative and quantitative new insights into CP -Violation effects in hadronic B decays.

  • observation of CP Violation in charm decays
    Physical Review Letters, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for charge-parity (CP) Violation in D^{0}→K^{-}K^{+} and D^{0}→π^{-}π^{+} decays is reported, using pp collision data corresponding to an integrated luminosity of 5.9  fb^{-1} collected at a center-of-mass energy of 13 TeV with the LHCb detector. The flavor of the charm meson is inferred from the charge of the pion in D^{*}(2010)^{+}→D^{0}π^{+} decays or from the charge of the muon in B[over ¯]→D^{0}μ^{-}ν[over ¯]_{μ}X decays. The difference between the CP asymmetries in D^{0}→K^{-}K^{+} and D^{0}→π^{-}π^{+} decays is measured to be ΔA_{CP}=[-18.2±3.2(stat)±0.9(syst)]×10^{-4} for π-tagged and ΔA_{CP}=[-9±8(stat)±5(syst)]×10^{-4} for μ-tagged D^{0} mesons. Combining these with previous LHCb results leads to ΔA_{CP}=(-15.4±2.9)×10^{-4}, where the uncertainty includes both statistical and systematic contributions. The measured value differs from zero by more than 5 standard deviations. This is the first observation of CP Violation in the decay of charm hadrons.

  • search for CP Violation in d_s to k_s 0 pi d to k_s 0 k and d to phi pi decays
    Physical Review Letters, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for charge-parity (CP) Violation in Cabibbo-suppressed Ds+→KS0π+, D+→KS0K+, and D+→ϕπ+ decays is reported using proton-proton collision data, corresponding to an integrated luminosity of 3.8  fb-1, collected at a center-of-mass energy of 13 TeV with the LHCb detector. High-yield samples of kinematically and topologically similar Cabibbo-favored D(s)+ decays are analyzed to subtract nuisance asymmetries due to production and detection effects, including those induced by CP Violation in the neutral kaon system. The results areACP(Ds+→KS0π+)=(1.3±1.9±0.5)×10-3,ACP(D+→KS0K+)=(-0.09±0.65±0.48)×10-3,ACP(D+→ϕπ+)=(0.05±0.42±0.29)×10-3,where the first uncertainties are statistical and the second systematic. They are the most precise measurements of these quantities to date, and are consistent with CP symmetry. A combination with previous LHCb measurements, based on data collected at 7 and 8 TeV, is also reported.

M Alexander - One of the best experts on this subject based on the ideXlab platform.

  • measurement of the CP Violation parameter aγ in d0 k k and d0 π π decays
    Physical Review Letters, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    Asymmetries in the time-dependent rates of D0→K+K− and D0→π+π− decays are measured in a pp collision data sample collected with the LHCb detector during LHC Run~1, corresponding to an integrated luminosity of 3fb−1. The asymmetries in effective decay widths between D0 and D¯¯¯¯0 decays, sensitive to indirect CP Violation, are measured to be AΓ(K+K−)=(−0.30±0.32±0.10)×10−3 and AΓ(π+π−)=(0.46±0.58±0.12)×10−3, where the first uncertainty is statistical and the second systematic. These measurements show no evidence for CP Violation and improve on the precision of the previous best measurements by nearly a factor of two.

  • search for CP Violation in the phase space of d0 π π π π decays
    Physics Letters B, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    A search for time-integrated $CP$ Violation in the Cabibbo-suppressed decay \mbox{$D^0\rightarrow\pi^+\pi^-\pi^+\pi^-$} is performed using an unbinned, model-independent technique known as the energy test. This is the first application of the energy test in four-body decays. The search is performed for $P$-even $CP$ asymmetries and, for the first time, is extended to probe the $P$-odd case. Using proton-proton collision data corresponding to an integrated luminosity of 3.0~fb$^{-1}$ collected by the LHCb detector at centre-of-mass energies of $\sqrt{s}=$7~TeV and 8~TeV, the world's best sensitivity to $CP$ Violation in this decay is obtained. The data are found to be consistent with the hypothesis of $CP$ symmetry with a $p$-value of $(4.6\pm0.5)\%$ in the $P$-even case, and marginally consistent with a $p$-value of $(0.6\pm0.2)\%$ in the $P$-odd case, corresponding to a significance for $CP$ non-conservation of 2.7 standard deviations.

  • measurements of charm mixing and CP Violation using d0 k π decays
    Physical Review D, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    Measurements of charm mixing and CP Violation parameters from the decay-time-dependent ratio of D0→K+π− to D0→K−π+ decay rates and the charge-conjugate ratio are reported. The analysis uses B¯¯¯¯→D∗+μ−X, and charge-conjugate decays, where D∗+→D0π+, and D0→K∓π±. The pp collision data are recorded by the LHCb experiment at center-of-mass energies s√ = 7 and 8 TeV, corresponding to an integrated luminosity of 3 fb−1. The data are analyzed under three hypotheses: (i) mixing assuming CP symmetry, (ii) mixing assuming no direct CP Violation in the Cabibbo-favored or doubly Cabibbo-suppressed decay amplitudes, and (iii) mixing allowing either direct CP Violation and/or CP Violation in the superpositions of flavor eigenstates defining the mass eigenstates. The data are also combined with those from a previous LHCb study of D0→Kπ decays from a disjoint set of D∗+ candidates produced directly in pp collisions. In all cases, the data are consistent with the hypothesis of CP symmetry.

  • measurement of CP Violation in b 0 j psi k s 0 decays
    Physical Review Letters, 2015
    Co-Authors: R Aaij, B Adeva, M Adinolfi, A Affolder, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali
    Abstract:

    Measurements are presented of the CP Violation observables S and C in the decays of B-0 and (B) over bar (0) mesons to the J/psi K-S(0) final state. The data sample corresponds to an integrated luminosity of 3.0 fb(-1) collected with the LHCb experiment in proton-proton collisions at center-of-mass energies of 7 and 8 TeV, and contains a total of 41 560 selected B-0 and (B) over bar (0) decays. The analysis of the time evolution of these decays yields S = 0.731 +/- 0.035(stat) +/- 0.020(syst) and C = -0.038 +/- 0.032(stat) +/- 0.005(syst). In the standard model, S equals sin(2 beta) to a good level of precision. The values are consistent with the current world averages and with the standard model expectations.

  • search for CP Violation in d0 π π π0 decays with the energy test
    Physics Letters B, 2015
    Co-Authors: R Aaij, B Adeva, M Adinolfi, A Affolder, Z Ajaltouni, J Albrecht, F Alessio, S Akar, M Alexander
    Abstract:

    A search for time-integrated CP Violation in the Cabibbo-suppressed decay D-0 -> pi(-)pi(+)pi(0) ir is performed using for the first time an unbinned model-independent technique known as the energy test. Using proton-proton collision data, corresponding to an integrated luminosity of 2.0 fb(-1) collected by the LHCb detector at a centre-of-mass energy of root s = 8 TeV, the world's best sensitivity to CP Violation in this decay is obtained. The data are found to be consistent with the hypothesis of CP symmetry with a p-value of (2.6 +/- 0.5)%. (C) 2014 The Authors. Published by Elsevier B.V.

F Alessio - One of the best experts on this subject based on the ideXlab platform.

  • observation of CP Violation in charm decays
    Physical Review Letters, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for charge-parity (CP) Violation in D^{0}→K^{-}K^{+} and D^{0}→π^{-}π^{+} decays is reported, using pp collision data corresponding to an integrated luminosity of 5.9  fb^{-1} collected at a center-of-mass energy of 13 TeV with the LHCb detector. The flavor of the charm meson is inferred from the charge of the pion in D^{*}(2010)^{+}→D^{0}π^{+} decays or from the charge of the muon in B[over ¯]→D^{0}μ^{-}ν[over ¯]_{μ}X decays. The difference between the CP asymmetries in D^{0}→K^{-}K^{+} and D^{0}→π^{-}π^{+} decays is measured to be ΔA_{CP}=[-18.2±3.2(stat)±0.9(syst)]×10^{-4} for π-tagged and ΔA_{CP}=[-9±8(stat)±5(syst)]×10^{-4} for μ-tagged D^{0} mesons. Combining these with previous LHCb results leads to ΔA_{CP}=(-15.4±2.9)×10^{-4}, where the uncertainty includes both statistical and systematic contributions. The measured value differs from zero by more than 5 standard deviations. This is the first observation of CP Violation in the decay of charm hadrons.

  • search for CP Violation in d_s to k_s 0 pi d to k_s 0 k and d to phi pi decays
    Physical Review Letters, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for charge-parity (CP) Violation in Cabibbo-suppressed Ds+→KS0π+, D+→KS0K+, and D+→ϕπ+ decays is reported using proton-proton collision data, corresponding to an integrated luminosity of 3.8  fb-1, collected at a center-of-mass energy of 13 TeV with the LHCb detector. High-yield samples of kinematically and topologically similar Cabibbo-favored D(s)+ decays are analyzed to subtract nuisance asymmetries due to production and detection effects, including those induced by CP Violation in the neutral kaon system. The results areACP(Ds+→KS0π+)=(1.3±1.9±0.5)×10-3,ACP(D+→KS0K+)=(-0.09±0.65±0.48)×10-3,ACP(D+→ϕπ+)=(0.05±0.42±0.29)×10-3,where the first uncertainties are statistical and the second systematic. They are the most precise measurements of these quantities to date, and are consistent with CP symmetry. A combination with previous LHCb measurements, based on data collected at 7 and 8 TeV, is also reported.

  • search for CP Violation through an amplitude analysis of d0 k k π π decays
    Journal of High Energy Physics, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for CP Violation in the Cabibbo-suppressed D$^{0}$ → K$^{+}$K$^{−}$π$^{+}$π$^{−}$ decay mode is performed using an amplitude analysis. The measurement uses a sample of pp collisions recorded by the LHCb experiment during 2011 and 2012, corresponding to an integrated luminosity of 3.0 fb$^{−1}$. The D$^{0}$ mesons are reconstructed from semileptonic b-hadron decays into D$^{0}$μ$^{−}$X final states. The selected sample contains more than 160 000 signal decays, allowing the most precise amplitude modelling of this D$^{0}$ decay to date. The obtained amplitude model is used to perform the search for CP Violation. The result is compatible with CP symmetry, with a sensitivity ranging from 1% to 15% depending on the amplitude considered.

  • measurement of the CP Violation parameter aγ in d0 k k and d0 π π decays
    Physical Review Letters, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    Asymmetries in the time-dependent rates of D0→K+K− and D0→π+π− decays are measured in a pp collision data sample collected with the LHCb detector during LHC Run~1, corresponding to an integrated luminosity of 3fb−1. The asymmetries in effective decay widths between D0 and D¯¯¯¯0 decays, sensitive to indirect CP Violation, are measured to be AΓ(K+K−)=(−0.30±0.32±0.10)×10−3 and AΓ(π+π−)=(0.46±0.58±0.12)×10−3, where the first uncertainty is statistical and the second systematic. These measurements show no evidence for CP Violation and improve on the precision of the previous best measurements by nearly a factor of two.

  • search for CP Violation in the phase space of d0 π π π π decays
    Physics Letters B, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    A search for time-integrated $CP$ Violation in the Cabibbo-suppressed decay \mbox{$D^0\rightarrow\pi^+\pi^-\pi^+\pi^-$} is performed using an unbinned, model-independent technique known as the energy test. This is the first application of the energy test in four-body decays. The search is performed for $P$-even $CP$ asymmetries and, for the first time, is extended to probe the $P$-odd case. Using proton-proton collision data corresponding to an integrated luminosity of 3.0~fb$^{-1}$ collected by the LHCb detector at centre-of-mass energies of $\sqrt{s}=$7~TeV and 8~TeV, the world's best sensitivity to $CP$ Violation in this decay is obtained. The data are found to be consistent with the hypothesis of $CP$ symmetry with a $p$-value of $(4.6\pm0.5)\%$ in the $P$-even case, and marginally consistent with a $p$-value of $(0.6\pm0.2)\%$ in the $P$-odd case, corresponding to a significance for $CP$ non-conservation of 2.7 standard deviations.

J Albrecht - One of the best experts on this subject based on the ideXlab platform.

  • observation of CP Violation in charm decays
    Physical Review Letters, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for charge-parity (CP) Violation in D^{0}→K^{-}K^{+} and D^{0}→π^{-}π^{+} decays is reported, using pp collision data corresponding to an integrated luminosity of 5.9  fb^{-1} collected at a center-of-mass energy of 13 TeV with the LHCb detector. The flavor of the charm meson is inferred from the charge of the pion in D^{*}(2010)^{+}→D^{0}π^{+} decays or from the charge of the muon in B[over ¯]→D^{0}μ^{-}ν[over ¯]_{μ}X decays. The difference between the CP asymmetries in D^{0}→K^{-}K^{+} and D^{0}→π^{-}π^{+} decays is measured to be ΔA_{CP}=[-18.2±3.2(stat)±0.9(syst)]×10^{-4} for π-tagged and ΔA_{CP}=[-9±8(stat)±5(syst)]×10^{-4} for μ-tagged D^{0} mesons. Combining these with previous LHCb results leads to ΔA_{CP}=(-15.4±2.9)×10^{-4}, where the uncertainty includes both statistical and systematic contributions. The measured value differs from zero by more than 5 standard deviations. This is the first observation of CP Violation in the decay of charm hadrons.

  • search for CP Violation in d_s to k_s 0 pi d to k_s 0 k and d to phi pi decays
    Physical Review Letters, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for charge-parity (CP) Violation in Cabibbo-suppressed Ds+→KS0π+, D+→KS0K+, and D+→ϕπ+ decays is reported using proton-proton collision data, corresponding to an integrated luminosity of 3.8  fb-1, collected at a center-of-mass energy of 13 TeV with the LHCb detector. High-yield samples of kinematically and topologically similar Cabibbo-favored D(s)+ decays are analyzed to subtract nuisance asymmetries due to production and detection effects, including those induced by CP Violation in the neutral kaon system. The results areACP(Ds+→KS0π+)=(1.3±1.9±0.5)×10-3,ACP(D+→KS0K+)=(-0.09±0.65±0.48)×10-3,ACP(D+→ϕπ+)=(0.05±0.42±0.29)×10-3,where the first uncertainties are statistical and the second systematic. They are the most precise measurements of these quantities to date, and are consistent with CP symmetry. A combination with previous LHCb measurements, based on data collected at 7 and 8 TeV, is also reported.

  • search for CP Violation through an amplitude analysis of d0 k k π π decays
    Journal of High Energy Physics, 2019
    Co-Authors: R Aaij, Abellan C Beteta, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, S Akar, C Aidala, P Albicocco, F Alessio
    Abstract:

    A search for CP Violation in the Cabibbo-suppressed D$^{0}$ → K$^{+}$K$^{−}$π$^{+}$π$^{−}$ decay mode is performed using an amplitude analysis. The measurement uses a sample of pp collisions recorded by the LHCb experiment during 2011 and 2012, corresponding to an integrated luminosity of 3.0 fb$^{−1}$. The D$^{0}$ mesons are reconstructed from semileptonic b-hadron decays into D$^{0}$μ$^{−}$X final states. The selected sample contains more than 160 000 signal decays, allowing the most precise amplitude modelling of this D$^{0}$ decay to date. The obtained amplitude model is used to perform the search for CP Violation. The result is compatible with CP symmetry, with a sensitivity ranging from 1% to 15% depending on the amplitude considered.

  • measurement of the CP Violation parameter aγ in d0 k k and d0 π π decays
    Physical Review Letters, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    Asymmetries in the time-dependent rates of D0→K+K− and D0→π+π− decays are measured in a pp collision data sample collected with the LHCb detector during LHC Run~1, corresponding to an integrated luminosity of 3fb−1. The asymmetries in effective decay widths between D0 and D¯¯¯¯0 decays, sensitive to indirect CP Violation, are measured to be AΓ(K+K−)=(−0.30±0.32±0.10)×10−3 and AΓ(π+π−)=(0.46±0.58±0.12)×10−3, where the first uncertainty is statistical and the second systematic. These measurements show no evidence for CP Violation and improve on the precision of the previous best measurements by nearly a factor of two.

  • search for CP Violation in the phase space of d0 π π π π decays
    Physics Letters B, 2017
    Co-Authors: R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, J Albrecht, F Alessio, M Alexander, S Akar, S Ali, G Alkhazov
    Abstract:

    A search for time-integrated $CP$ Violation in the Cabibbo-suppressed decay \mbox{$D^0\rightarrow\pi^+\pi^-\pi^+\pi^-$} is performed using an unbinned, model-independent technique known as the energy test. This is the first application of the energy test in four-body decays. The search is performed for $P$-even $CP$ asymmetries and, for the first time, is extended to probe the $P$-odd case. Using proton-proton collision data corresponding to an integrated luminosity of 3.0~fb$^{-1}$ collected by the LHCb detector at centre-of-mass energies of $\sqrt{s}=$7~TeV and 8~TeV, the world's best sensitivity to $CP$ Violation in this decay is obtained. The data are found to be consistent with the hypothesis of $CP$ symmetry with a $p$-value of $(4.6\pm0.5)\%$ in the $P$-even case, and marginally consistent with a $p$-value of $(0.6\pm0.2)\%$ in the $P$-odd case, corresponding to a significance for $CP$ non-conservation of 2.7 standard deviations.

Dmitri E Kharzeev - One of the best experts on this subject based on the ideXlab platform.

  • topologically induced local p and CP Violation in qcd x qed
    Annals of Physics, 2010
    Co-Authors: Dmitri E Kharzeev
    Abstract:

    Abstract The existence of topological solutions and axial anomaly open a possibility of P and CP Violation in QCD. For a reason that has not yet been established conclusively, this possibility is not realized in strong interactions – the experimental data indicate that a global P and CP Violation in QCD is absent. Nevertheless, the fluctuations of topological charge in QCD vacuum, although not observable directly, are expected to play an important role in the breaking of U A ( 1 ) symmetry and in the mass spectrum and other properties of hadrons. Moreover, in the presence of very intense external electromagnetic fields topological solutions of QCD can induce local P - and CP -odd effects in the SU c ( 3 ) × U em ( 1 ) gauge theory that can be observed in experiment directly. Here I show how these local parity-violating phenomena can be described by using the Maxwell–Chern–Simons, or axion, electrodynamics as an effective theory. Local P - and CP -Violation in hot QCD matter can be observed in experiment through the “chiral magnetic effect” – the separation of electric charge along the axis of magnetic field. Very recently, STAR Collaboration presented an observation of the electric charge asymmetry with respect to reaction plane in relativistic heavy ion collisions at RHIC.

  • topologically induced local p and CP Violation in qcd x qed
    arXiv: High Energy Physics - Phenomenology, 2009
    Co-Authors: Dmitri E Kharzeev
    Abstract:

    The existence of topological solutions and axial anomaly open a possibility of P and CP Violation in QCD. For a reason that has not yet been established conclusively, this possibility is not realized in strong interactions - the experimental data indicate that a global P and CP Violation in QCD is absent. Nevertheless, the fluctuations of topological charge in QCD vacuum, although not observable directly, are expected to play an important role in the breaking of $U_A(1)$ symmetry and in the mass spectrum and other properties of hadrons. Moreover, in the presence of very intense external electromagnetic fields topological solutions of QCD can induce local P- and CP-odd effects in the $SU_c(3)\times U_{em}(1)$ gauge theory that can be observed in experiment directly. Here I show how these local parity-violating phenomena can be described by using the Maxwell-Chern-Simons, or axion, electrodynamics as an effective theory. Local P- and CP- Violation in hot QCD matter can be observed in experiment through the "chiral magnetic effect" - the separation of electric charge along the axis of magnetic field. Very recently, STAR Collaboration presented an observation of the electric charge asymmetry with respect to reaction plane in relativistic heavy ion collisions at RHIC.