Standard Model Prediction for Direct<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math>Violation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>Decay

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

doi:10.1103/physrevlett.115.212001

Cited by 189 publications

(286 citation statements)

References 39 publications

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“…[59]. ) We also recall the recent discussion by Buras [60] about connections between lattice [61,62] and large-N c [63] calculations of kaon weak matrix elements. The lattice calculations An issue with large N c simulations that we have not resolved is simply that they are expensive.…”

Section: Discussionmentioning

confidence: 99%

Lattice study of largeNcQCD

DeGrand¹,

Liu²

2016

Phys. Rev. D

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We present a lattice simulation study of large N c regularities of meson and baryon spectroscopy in SU (N c ) gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include N c = 2, 3, 4, and 5, over a range of fermion masses parametrized by a squared pseudoscalar to vector meson mass ratio between about 0.2 to 0.7. Good agreement with large N c scaling is observed in the static potential, in meson masses and decay constants, and in baryon spectroscopy. * Electronic address: thomas.degrand@colorado.edu

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Section: Discussionmentioning

confidence: 99%

Lattice study of largeNcQCD

DeGrand¹,

Liu²

2016

Phys. Rev. D

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“…The present status of ε /ε in the SM has been reviewed recently in [1,2], where references to rich literature can be found. After the new results for the hadronic matrix elements of QCDP and EWP (V − A) ⊗ (V + A) operators from RBC-UKQCD lattice collaboration [3][4][5] and the extraction of the corresponding matrix elements of penguin (V − A) ⊗ (V − A) operators from the CP-conserving K → ππ amplitudes one finds [1] (ε /ε) SM = (1.9 ± 4.5) × 10 −4 .…”

Section: Jhep04(2016)071 1 Introductionmentioning

confidence: 99%

New physics patterns in ε′/ε and ε K with implications for rare kaon decays and ∆M K

Buras

2016

J. High Energ. Phys.

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Abstract:The Standard Model (SM) prediction for the ratio ε /ε appears to be significantly below the experimental data. Also ε K in the SM tends to be below the data. Any new physics (NP) removing these anomalies will first of all have impact on flavour observables in the K meson system, in particular on rare decaysRestricting the operators contributing to ε /ε to the SM ones and to the corresponding primed operators, NP contributions to ε /ε are quite generally dominated either by QCD penguin (QCDP) operators Q 6 (Q 6 ) or electroweak penguin (EWP) operators Q 8 (Q 8 ) with rather different implications for other flavour observables. Our presentation includes general models with tree-level Z and Z flavour violating exchanges for which we summarize known results and add several new ones. We also briefly discuss few specific models. The correlations of ε /ε with other flavour observables listed above allow to differentiate between models in which ε /ε can be enhanced. Various DNA-tables are helpful in this respect. We find that simultaneous enhancements of ε /ε, ε K , B(K L → π 0 νν) and B(K + → π + νν) in Z scenarios are only possible in the presence of both left-handed and right-handed flavour-violating couplings. In Z scenarios this is not required but the size of NP effects and the correlation between B(K L → π 0 νν) and B(K + → π + νν) depends strongly on whether QCDP or EWP dominate NP contributions to ε /ε. In the QCDP case possible enhancements of both branching ratios are much larger than for EWP scenario and take place only on the branch parallel to the Grossman-Nir bound, which is in the case of EWP dominance only possible in the absence of NP in ε K . We point out that QCDP and EWP scenarios of NP in ε /ε can also be uniquely distinguished by the size and the sign of NP contribution to ∆M K , elevating the importance of the precise calculation of ∆M K in the SM. We emphasize the importance of the theoretical improvements not only on ε /ε, ε K and ∆M K but also on K L → µ + µ − , K L → π 0 + − , and the K → ππ isospin amplitudes ReA 0 and ReA 2 which would in the future enrich our analysis.

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“…The input data will consist of a Euclidean correlation function G Q,0 (τ i , 0, L) of the type presented in Eq. (20), evaluated at N τ discrete Euclidean time slices up to a maximum extent L, at which point we assume that the signal is lost. In this example we ignore finite-temperature effects, i.e.…”

Section: A Numerical Test Casementioning

confidence: 99%

“…The factor depends on the box size via a known geometric function and also depends on the derivative of the elastic pion scattering phase shift, ∂δ ππ (k)/∂k, evaluated at the kaon mass. This relation is being used by the RBC/UKQCD collaboration to perform a full-error-budget calculation of K → ππ decays, aiming towards a first-principles understanding of the ∆I = 1/2 rule and a prediction of / [19,20].…”

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confidence: 99%

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

2017

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We present a new technique for extracting decay and transition rates into final states with any number of hadrons. The approach is only sensitive to total rates, in which all out-states with a given set of QCD quantum numbers are included. For processes involving photons or leptons, differential rates with respect to the non-hadronic kinematics may also be extracted. Our method involves constructing a finite-volume Euclidean four-point function, whose corresponding spectral function measures the decay and transition rates in the infinite-volume limit. This requires solving the inverse problem of extracting the spectral function from the correlator and also necessitates a smoothing procedure so that a well-defined infinite-volume limit exists. Both of these steps are accomplished by the Backus-Gilbert method and, as we show with a numerical example, reasonable precision can be expected in cases with multiple open decay channels. Potential applications include nucleon structure functions and the onset of the deep inelastic scattering regime, as well as semi-leptonic D and B decay rates.

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Standard Model Prediction for DirectCPViolation inK→ππDecay

Cited by 189 publications

References 39 publications

Lattice study of largeNcQCD

Lattice study of largeNcQCD

New physics patterns in ε′/ε and ε K with implications for rare kaon decays and ∆M K

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

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