Erratum: Standard-model prediction for direct CP violation in $K\toππ$ decay

Bai, Ziyuan; Blum, Tom; Boyle, P. A.; Christ, Norman H.; Frison, Julien; Garrón, Nicolas; Izubuchi, Taku; Jung, C. K.; Kelly, Christopher; Lehner, Christoph; Mawhinney, Robert D.; Sachrajda, C.T.; Soni, Amarjit; Zhang, D.

doi:10.48550/arxiv.1603.03065

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“…In recent years, the RBC/UKQCD collaboration has undertaken a series of lattice-QCD calculations of K → ππ decay amplitudes [46,429,430]. In 2015, the first calculation of the K → (ππ) I =0 decay amplitude A 0 was performed using physical kinematics on a 32 3 × 64 lattice with an inverse lattice spacing of a −1 = 1.3784 (68) GeV [430,436]. The main features of the RBC/UKQCD 15G calculation included, fixing the I = 0 ππ energy very close to the kaon mass by imposing G-parity boundary conditions, a continuum-like operator mixing pattern through the use of a domain wall fermion action with accurate chiral symmetry, and the construction of the complete set of correlation functions by computing seventy-five distinct diagrams.…”

Section: Collaborationmentioning

confidence: 99%

FLAG Review 2021

Aoki

Blum²,

Colangelo³

et al. 2022

Eur. Phys. J. C

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406

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We review lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$ f + ( 0 ) arising in the semileptonic $$K \rightarrow \pi $$ K → π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$ f K / f π and its consequences for the CKM matrix elements $$V_{us}$$ V us and $$V_{ud}$$ V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ S U ( 2 ) L × S U ( 2 ) R and $$SU(3)_L\times SU(3)_R$$ S U ( 3 ) L × S U ( 3 ) R Chiral Perturbation Theory. We review the determination of the $$B_K$$ B K parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$ m c and $$m_b$$ m b as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$ α s . We consider nucleon matrix elements, and review the determinations of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. Finally, in this review we have added a new section reviewing determinations of scale-setting quantities.

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Section: Collaborationmentioning

confidence: 99%

FLAG Review 2021

Aoki

Blum²,

Colangelo³

et al. 2022

Eur. Phys. J. C

Self Cite

406

View full text Add to dashboard Cite

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Kaon Theory News

Buras¹

2016

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2015)

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During the last fifteen years B s,d decays, B 0 s,d −B 0 s,d mixings, related mixing induced CP-violating asymmetries S ψK S and S ψφ and CP violation in charm decays provided the dominant information about the pattern of flavour violation within the Standard Model (SM) and its extensions. K meson physics was solely represented by the CP-violating parameter ε K which by itself could still provide a very powerful constraint on new physics (NP) models but could not offer by far as much information about the pattern of flavour violation in nature as the observables in heavy meson decays. We emphasize that in the coming years K meson physics will certainly strike back through the measurements of the branching ratios of theoretically very clean decays K + → π + νν and K L → π 0 νν and improved calculations of the ratio ε /ε provided recently by lattice QCD and large N approach. Also the improved calculations of the K 0 −K 0 mass difference ∆M K could be of help in this context. We summarize the status of K + → π + νν and K L → π 0 νν within the SM and simplified NP models and update the picture of flavour violation in the Littlest Higgs model with T-parity (LHT) taking all available constraints into account. But the highlight of this talk are new results on ε /ε from lattice QCD and large N approach that give a strong indication for a new anomaly in flavour physics, this time coming from K mesons. Indeed, ε /ε within the SM is found to be significantly below the data of NA48 and KTeV collaborations. Combining lattice results on the non-perturbative parameters B(1/2) 6 and B(3/2) 8 with the assumption that the SM dynamics dominates the ∆I = 1/2 rule a 3σ anomaly in ε /ε emerges. Moreover, the recently derived upper bounds on B(1/2) 6 and B(3/2) 8 from large N approach with B(1/2) 6 ≤ B(3/2) 8 < 1, fully consistent with lattice results, increase the confidence that the found anomaly could be an important signal of NP at work. Of particular importance are the correlations between K + → π + νν, K L → π 0 νν and ε /ε. With future precise measurements of K + → π + νν and K L → π 0 νν and improved calculations of ε /ε they will surely provide powerful tools for selecting the favourite NP models. We illustrate this with the help of the LHT model and simplified models in which NP in K → πνν and ε /ε is governed by Z with flavour violating couplings or by a heavy Z .

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Erratum: Standard-model prediction for direct CP violation in $K\toππ$ decay

Cited by 2 publications

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FLAG Review 2021

FLAG Review 2021

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