D meson mixing as an inverse problem

Li, Hsiang-nan; Umeeda, Hiroyuki; Xu, Fanrong; Yu, Fu-Sheng

doi:10.1016/j.physletb.2020.135802

Cited by 34 publications

(17 citation statements)

References 23 publications

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“…In this plot, we vary 𝑚 𝑠 /𝛽 since this parameter significantly alters the order of magnitude as indicated for the inclusive analysis in Eqs. (12,13). The charm quark mass is set to the MS mass at the scale 𝑚 𝑐 in 4D, corresponding to 𝑚 𝑐 /𝛽 = 3.8.…”

Section: Numerical Resultsmentioning

confidence: 99%

Theoretical aspects of $D^0-\bar{D}^0$ mixing

Umeeda¹

2022

Preprint

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Observables in the 𝐷 0 − D0 mixing can be theoretically analyzed by the operator product expansion (OPE), in which 1/𝑚 𝑐 is regarded as an expansion parameter. Since the contributions of fourquark operators are strongly suppressed by the Glashow-Iliopoulos-Maiani (GIM) mechanism, the order of magnitude of the width difference is still not reproduced in the OPE analysis. In view of this issue, quark-hadron duality, an assumption that is tacitly made in the OPE, is studied for the 𝐷 0 − D0 mixing. In particular, the exclusive width difference and the inclusive counterpart can be compared within the 't Hooft model, two-dimensional QCD in the large-𝑁 𝑐 limit. It is shown that the order of magnitude of the exclusive width difference is enhanced relative to the 4D-like inclusive contributions of the four-quark operators, that is qualitatively consistent with the realistic observation of the 𝐷 0 − D0 mixing.

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Section: Numerical Resultsmentioning

confidence: 99%

Theoretical aspects of $D^0-\bar{D}^0$ mixing

Umeeda¹

2022

Preprint

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“…This could be obtained with the help of dispersion relations, see e.g. [51,59,60]. Finally this procedure does not affect most other quantities like ( + )/ ( 0 ), hadron lifetimes and ΔΓ giving results within the current theoretical uncertainties, but it affects the semi-leptonic CP asymmetries, giving enhanced ranges:…”

Section: Discussionmentioning

confidence: 97%

Renormalisation scale setting for D-mixing

Vlahos¹

2021

Proceedings of 10th International Workshop on Charm Physics — PoS(CHARM2020)

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A naive application of the heavy quark expansion (HQE) yields theory estimates for the decay rate of neutral mesons that are four orders of magnitude below the experimental determination. It is well known that this huge suppression results from severe GIM cancellations. We find that this mismatch can be solved by individually choosing the renormalisation scale of the different internal quark contributions. For and hadron lifetimes, as well as for the decay rate difference of neutral mesons the effect of our scale setting procedure lies within the previously quoted theory uncertainties, while we get enlarged theory uncertainties for the semileptonic CP asymmetries in the system.

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“…The magnitude of the Δ parameter is expected to be about 2 × 10 −5 for the final states = + − , + − [39,48]. LHCb has performed a measurement of Δ with data collected during the LHC Run 2, corresponding to an integrated luminosity of 6 fb −1 , using * + → 0 + decays originated from primary proton-proton interactions, where the 0 → + − , 0 → + − and 0 → − + decays are reconstructed.…”

Section: Search For Time-dependentmentioning

confidence: 99%

Mixing and $CP$ violation in charm decays at LHCb

Betti¹

2022

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2021)

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The LHCb experiment has collected the world's largest sample of charmed hadrons. This sample is used to measure observables related to 0 − 0 mixing, direct violation and violation in mixing and interference in the charm sector. In this document, the most recent results from LHCb on the search of direct violation in 0 and + ( ) decays are summarised, as well as the first observation of mass difference between neutral charm-meson eigenstates and the most precise measurement of time-dependent asymmetry in 0 → + − and 0 → + − decays.

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D meson mixing as an inverse problem

Cited by 34 publications

References 23 publications

Theoretical aspects of $D^0-\bar{D}^0$ mixing

Theoretical aspects of $D^0-\bar{D}^0$ mixing

Renormalisation scale setting for D-mixing

Mixing and $CP$ violation in charm decays at LHCb

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