Kaon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>parameter with Wilson fermions

Gupta, Rajan; Daniel, David; Kilcup, Gregory W.; Patel, Apoorva; Sharpe, Stephen R.

doi:10.1103/physrevd.47.5113

Cited by 39 publications

(60 citation statements)

References 16 publications

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“…This is not the case; in the standard model the ∆S = 2 and ∆B = 2 operators have chirality LL, whereas for a generic "3 mechanism" they will have all chiral structures. It is known that the LR, ∆S = 2, operator has a matrix element which is enhanced by about an order of magnitude relative to that of the LL operator [10], and that there is no similar enhancement in the ∆B = 2 case. Furthermore, the LR operator is enhanced by QCD radiative corrections in the infrared [11]; with the enhancement at 1 GeV about a factor of 3 larger than at 5 GeV.…”

Section: Phenomenology Of the "3 Mechanism" In Superweak Theoriesmentioning

confidence: 99%

Alternative theories of CP violation

et al. 1998

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Recent improvements to the limit of ∆M Bs imply that pure superweak theories, while not excluded, no longer provide a good fit to the data. A class of general superweak theories is introduced in which all flavor changing interactions are governed by an approximate flavor symmetry which gives a "3 mechanism". These theories are in good agreement with data, and predict low values for |V td |, |V ub /V cb |, B(K + → π +ν ν), ǫ ′ /ǫ and CP asymmetries in B decays, and high values for ∆M Bs and f B √ B B . An important example of such a theory is provided by weak scale supersymmetric theories with soft CP violation. The CP violation originates in the squark mass matrix, and, with phases of order unity, flavor symmetries can yield a correct prediction for the order of magnitude of ǫ K .

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Section: Phenomenology Of the "3 Mechanism" In Superweak Theoriesmentioning

confidence: 99%

Alternative theories of CP violation

et al. 1998

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“…It has also been used for Wilson fermions [21]. A detailed description of the latter application, and the extension to other operators is given in Ref.…”

Section: Numerical Detailsmentioning

confidence: 99%

Staggered fermion matrix elements using smeared operators

1998

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We investigate the use of two kinds of staggered fermion operators, smeared and unsmeared. The smeared operators extend over a 4 4 hypercube, and tend to have smaller perturbative corrections than the corresponding unsmeared operators. We use these operators to calculate kaon weak matrix elements on quenched ensembles at β = 6.0, 6.2 and 6.4. Extrapolating to the continuum limit, we find B K (N DR, 2 GeV) = 0.62 ± 0.02(stat) ± 0.02(syst). The systematic error is dominated by the uncertainty in the matching between lattice and continuum operators due to the truncation of perturbation theory at one-loop. We do not include any estimate of the errors due to quenching or to the use of degenerate s and d quarks. For the ∆I = 3/2 electromagnetic penguin operators we find B (3/2) 7 = 0.62 ± 0.03 ± 0.06 and B (3/2) 8 = 0.77 ± 0.04 ± 0.04. We also use the ratio of unsmeared to smeared operators to make a partially non-perturbative estimate of the renormalization of the quark mass for staggered fermions. We find that tadpole improved perturbation theory works well if the coupling is chosen to be α MS (q * = 1/a).

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“…The bare value of B K can be extracted from the ratio of SF correlation functions 19) where f VA+AV is the correlation function of O VA+AV with two pseudoscalar SF boundary sources and f X (X = A 0 , P,V 0 ) is a two-point function of the bilinear operator X with a pseudoscalar SF boundary source. Precise definitions can be found in [8].…”

Section: Simulations For Bare Matrix Elements and Systematicsmentioning

confidence: 99%

“…In regularisations which respect chiral symmetry, the latter operator is multiplicatively renormalisable. If chiral symmetry is not preserved, O VV+AA mixes with four other dimension-6 operators [16,17,18,19,20] with positive parity: Two proposals have attempted to eliminate operator mixing. They are both based on the observation [18,20] that, even in the absence of chiral symmetry, the operator O VA+AV is protected from finite operator mixing by discrete symmetries, and thus it renormalises multiplicatively, viz.…”

Section: Lattice Qcd and Indirect Cp Violation In Kaon Decaysmentioning

confidence: 99%