Decoherence free<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math>meson systems

Alok, Ashutosh Kumar; Banerjee, Subhashish

doi:10.1103/physrevd.88.094013

Cited by 7 publications

(11 citation statements)

References 20 publications

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“…The figures clearly bring out the point that from the genesis of its decay [73], the meson systems violate the upper threshold value of K 3 = 1, indicative of quantum behavior, and quickly fall below one. The K 3 value for K meson remains above one longest while B s does it for the shortest time.…”

Section: Resultsmentioning

confidence: 93%

“…Since both B o and K o share the same scheme of dynamics, we discuss only B o system and the results, with appropriate notational changes, will be applicable to the K o system. The states of the total system, including the meson and the vacuum |0 , introduced in order to incorporate the effect of decay in the meson system, reside in the Hilbert space given by the direct sum H B 0 ⊕ H 0 [56,72,73] spanned by the orthonormal vectors B 0 , B 0 and |0…”

Section: B Time Evolution Of B/k Mesonsmentioning

confidence: 99%

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Study of temporal quantum correlations in decoheringBandKmeson systems

2018

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In this work we study temporal quantum correlations, quantified by Leggett-Garg (LG) and LGtype inequalities, in the B and K meson systems. We use the tools of open quantum systems to incorporate the effect of decoherence which is quantified by a single phenomenological parameter. The effect of CP violation is also included in our analysis. We find that the LG inequality is violated for both B and K meson systems, the violation being most prominent in the case of K mesons and least for Bs system. Since the systems with no coherence do not violate LGI, incorporating decoherence is expected to decrease the extent of violation of LGI and is clearly brought out in our results. We show that the expression for the LG functions depends upon an additional term, apart from the experimentally measurable meson transition probabilities. This term vanishes in the limit of zero decoherence. On the other hand, the LG-type parameter can be directly expressed in terms of transition probabilities, making it a more appropriate observable for studying temporal quantum correlations in neutral meson systems.

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Section: Resultsmentioning

confidence: 93%

Section: B Time Evolution Of B/k Mesonsmentioning

confidence: 99%

Study of temporal quantum correlations in decoheringBandKmeson systems

2018

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“…Triggered by the 2013 paper of Alok and Banerjee [54], which found extreme precise limits for decoherence effects, I redid the analysis with six talented undergraduate students [55] and we found a flaw in the arguments of [54]. Using the most recent values for x and y from HFAG [9] and for R from ARGUS [56] (1994) and CLEO [57] (1993) we find that currently decoherence in B-mixing is only very loosely bounded ζ = −0.26…”

Section: Some Very New Physics Effectsmentioning

confidence: 99%

Bs-antiBs mixing and lifetimes

Lenz¹

2015

Proceedings of the 15th International Conference on B-Physics at Frontier Machines at the University of Edinburgh — PoS(Beauty2

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We review the status of mixing of neutral B-mesons, including a discussion of the current precision of Standard Model (SM) predictions as well as the space that is left for effects of new physics. In that respect we present several observables, which are particularly sensitive to the remaining new physics (NP) parameter space. B-mixing can also be used to test the fundaments of quantum mechanics, here we suggest a new measurement of the ratio of like-sign dilepton events to opposite-sign dilepton events. Finally we summarise briefly the status of lifetimes of heavy hadrons. The corresponding theory predictions rely on the same tool -the Heavy Quark Expansion (HQE) -as some of the mixing quantities. New experimental data has recently proven the validity of the HQE to a high accuracy. However, the theoretical precision of lifetime predictions is strongly limited by a lack of non-perturbative evaluations of matrix elements of dimension-six operators.The 15th International Conference on B-Physics at Frontier Machines at the University of Edinburgh, 14 -18 July, 2014 University of Edinburgh, UK * Speaker.

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“…In [25] it was tried to avoid the experimental short-comings related to the almost unknown value of R by a trick: because Eq. (10) seems to indicate R ≈ R 0 , it was assumed in Eq.…”

Section: The Analysis Of Alok and Banerjee From 2013mentioning

confidence: 99%

“…(20), in order to avoid using the experimental value of R, one learns nothing new. To summarise: by neglecting the dominant effect of δ +,− the authors of [25] artificially created a very precise relation, given in Eq. (27), which does not depend at all on R. We have shown that this approximation is unjustified and leads to a false conclusion.…”

Section: The Analysis Of Alok and Banerjee From 2013mentioning

confidence: 99%

Investigating bounds on decoherence in quantum mechanics via B and D -mixing

et al. 2014

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We investigate bounds on decoherence in quantum mechanics by studying B and D-mixing observables, making use of many precise new measurements, particularly from the LHC and B factories. In that respect we show that the stringent bounds obtained by a different group in 2013 rely on unjustified assumptions. Finally, we point out which experimental measurements could improve the decoherence bounds considerably. Crown

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Decoherence freeBdandBsmeson systems

Cited by 7 publications

References 20 publications

Study of temporal quantum correlations in decoheringBandKmeson systems

Study of temporal quantum correlations in decoheringBandKmeson systems

Bs-antiBs mixing and lifetimes

Investigating bounds on decoherence in quantum mechanics via B and D -mixing

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