<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">K</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">I</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>decay amplitude in the

Blum, Thomas; Boyle, P. A.; Christ, Norman H.; Frison, Julien; Garrón, Nicolas; Janowski, T.; Jung, Chulwoo; Kelly, Christopher; Lehner, Christoph; Lytle, Andrew; Mawhinney, Robert D.; Sachrajda, Christopher; Soni, Amarjit; Yin, H.; Zhang, D.; Collaborations, Ukqcd

doi:10.1103/physrevd.91.074502

Cited by 147 publications

(259 citation statements)

References 44 publications

(104 reference statements)

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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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“…While there is at present no reliable result for R 6 , lattice QCD calculations of R 8 have matured in recent years [59] and provide the value R 8 0.83 [60]. Anticipating further progress in the lattice QCD calculations of the hadronic parameters R 6 and R 8 , a full SM calculation of / with a total uncertainty of 20% may be possible in the near future (see section X.3.2.1 of [34]).…”

Section: Jhep09(2015)018mentioning

confidence: 99%

Anomalous triple gauge couplings from B-meson and kaon observables

Bobeth

Haisch

2015

J. High Energ. Phys.

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Abstract:We consider the three CP-conserving dimension-6 operators that encode the leading new-physics effects in the triple gauge couplings. The contributions to the standardmodel electromagnetic dipole and semi-leptonic vector and axial-vector interactions that arise from the insertions of these operators are calculated. We show that radiative and rare B-meson decays provide, under certain assumptions, constraints on two out of the three anomalous couplings that are competitive with the restrictions obtained from LEP II, Tevatron and LHC data. The constraints arising from the Z → bb electroweak pseudo observables, K → πνν and / are also studied.

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“…However, the discussion thus far, summarized by Eqs. (18) and (19), has relied crucially on the fact that all quantities are defined in an infinite volume and with real, Minkowski-signature time coordinates. Thus, the relations do not seem to be of relevance for calculations in lattice QCD, necessarily restricted to a finite volume and to Euclidean signature.…”

Section: Formalismmentioning

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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K→ππΔI=3/2decay amplitude in the

Cited by 147 publications

References 44 publications

Lattice study of largeNcQCD

Lattice study of largeNcQCD

Anomalous triple gauge couplings from B-meson and kaon observables

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

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