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Guo, Xin-Heng; Leitner, O.; Thomas, A. W.

doi:10.1103/physrevd.63.056012

Cited by 36 publications

(48 citation statements)

References 32 publications

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“…However in the case of ρ 0 −ω → π + π − , this asymmetry is amplified in the vicinity of the ω mass [4], as it is shown on Fig. 1, and it reaches 7.5% at the ω pole for N ef f c = 3.0.…”

Section: Polarizations and Asymmetriesmentioning

confidence: 85%

Testing CP and Time Reversal Symmetries with Decays

Leitner

Ajaltouni

2007

Nuclear Physics B - Proceedings Supplements

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In this letter, an overview is given for interesting tests of both CP and Time Reversal symmetries with the beauty baryon Λ b . Extensive use of the helicity formalism and HQET is done for all calculations. Then, emphasis is put on sophisticated methods like analysis of resonance polarizations and particular angle distributions which can exhibit a clear signal of TR violation. PHYSICAL MOTIVATIONSModern Particle Physics is well described by gauge field theories which are built on fundamental principles, the most important ones being Lorentz Invariance, Unitarity and Hermiticity. An immediate consequence of these principles is the famous CPT theorem which stipulates that any physical system and its CPT-conjugate one have identical physical laws. On another side, CPT theorem supposes that, if CP symmetry is violated, Time Reversal (TR) is no longer a good symmetry and this mathematical feature represents only an indirect violation of TR symmetry. However some experiments performed recently at CERN and Fermilab have shown a clear signal of direct TR violation in the K 0K 0 system. Our aim is to demonstrate that search for direct TR violation can be performed at the LHC energies by studying the cascade decays of Λ b → ΛV, Λ → pπ, V → x + x − , x being a lepton or a pion. Our main tool is constructing Triple Product Correlations (TPC) defined by the following relations Cascade decaysThe initial laboratory frame to which Λ b polarization is referred is defined like: e 1 = p 1 /p 1 , e 3 = p1× p b | p1× p b | , e 2 = e 3 × e 1 where p 1 and p b are respectively the incident proton momentum and the produced Λ b one. Λ b being transversally polarized, its polarization value is given by P Λ b = S Λ b · e 3 . Let M i be the Λ b spin projection along e 3 axis and, λ 1 and λ 2 are respectively the helicity values of Λ and V . Conservation of total angular momentum leads to four possible values for the pair (λ 1 , λ 2 ) = (1/2, 0), (1/2, 1), (−1/2, −1), (−1/2, 0) 1

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Section: Polarizations and Asymmetriesmentioning

confidence: 85%

Testing CP and Time Reversal Symmetries with Decays

Leitner

Ajaltouni

2007

Nuclear Physics B - Proceedings Supplements

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“…A previous analysis [28] has been conducted showing the dependence on the CKM matrix elements and form factors of the direct CP violating asymmetry. Here, we update our investigation by taking into account the latest values of the Wolfenstein CKM parameters, ρ and η, and also by analysing more B decays.…”

Section: Resultsmentioning

confidence: 99%

Direct CP violation in $B \rightarrow \pi^{ + }\pi^{-}\pi$ : determination of $\alpha$ without discrete ambiguity

2003

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Direct CP violation in the hadronic decaysB 0 → π + π − π 0 is investigated near the peak of the ρ 0 taking into account the effect of ρ−ω mixing. Branching ratios for processes B ±,0 → ρ ±,0 π ±,0 and B − → ωπ − are calculated as well. We find that the CP violating asymmetry is strongly dependent on the CKM matrix elements. For a fixed N ef f c , the CP violating asymmetry, a CP , has a maximum of order −40% to −70% forB 0 → ρ 0 (ω)π 0 when the invariant mass of the π + π − pair is in the vicinity of the ω resonance. The sensitivity of the asymmetry to N ef f c is small in that case. Moreover, we find that in the range of N ef f c which is allowed by the most recent experimental branching ratios from the BABAR, BELLE and CLEO Collaborations, the sign of sin δ is always positive. Thus, a measurement of direct CP violation in decaysB 0 → π + π − π 0 would remove the mod(π) ambiguity in the determination of the CP violating phase angle α.

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“…(15) that both weak and strong phase differences are responsible for CP violation. ρ-ω mixing introduces the strong phase difference and is well known for the three-body decay processes of the bottom hadron [28][29][30][31][32][33][34]. Due to ρ-ω interference from u and d quark mixing, we can write the formalism in an approximate form in terms of the first order isospin violation:…”

Section: The Effective Hamiltonianmentioning

confidence: 99%

“…(17) and (18) compared with the case of single ρ-ω interference [28][29][30][31][32][33][34][35][36]. From Eqs.…”

Section: The Effective Hamiltonianmentioning

confidence: 99%

CP violation induced by the double resonance for pure annihilation decay process in perturbative QCD

Lü

et al. 2017

Eur. Phys. J. C

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In a perturbative QCD approach we study the direct CP violation in the pure annihilation decay process ofB 0 s → π + π − π + π − induced by the ρ and ω double resonance effect. Generally, the CP violation is small in the pure annihilation type decay process. However, we find that the CP violation can be enhanced by double ρ-ω interference when the invariant masses of the π + π − pairs are in the vicinity of the ω resonance. For the decay process ofB 0+0.05+0.28+7.13 −0.15−0.31−6.11 %.

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Enhanced directCPviolation inB±→ρ0π

Cited by 36 publications

References 32 publications

Testing CP and Time Reversal Symmetries with Decays

Testing CP and Time Reversal Symmetries with Decays

Direct CP violation in $B \rightarrow \pi^{ + }\pi^{-}\pi$ : determination of $\alpha$ without discrete ambiguity

CP violation induced by the double resonance for pure annihilation decay process in perturbative QCD

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