Determination of $B_K$ using improved staggered fermions (IV)

Kim, J.; Jung, Chulwoo; Lee, Weonjong; Sharpe, Stephen R.

doi:10.22323/1.091.0264

Cited by 5 publications

(6 citation statements)

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“…with no factors of 1/(4π) included. The other methods for estimating this error described earlier in this review lead to smaller estimates [323]. This procedure is, in this review, deemed conservative enough to merit inclusion in the global average described below.…”

Section: Lattice Computation Of B Kmentioning

confidence: 95%

Review of lattice results concerning low-energy particle physics

et al. 2011

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We review lattice results related to pion, kaon, D-and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the lightquark masses, the form factor f + (0), arising in semileptonic K → π transition at zero momentum transfer, as well as the decay-constant ratio f K / f π of decay constants and its consequences for the CKM matrix elements V us and V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2) L × SU(2) R and SU(3) L ×SU(3) R Chiral Perturbation Theory and review the determination of the B K parameter of neutral kaon mixa e-mail: gilberto@itp.unibe.ch ing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, we focus here on D-and B-meson decay constants, form factors, and mixing parameters, since these are most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. In addition we review the status of lattice determinations of the strong coupling constant α s .

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Section: Lattice Computation Of B Kmentioning

confidence: 95%

Review of lattice results concerning low-energy particle physics

et al. 2011

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“…( 5) in a one-loop calculation. The contribution of the quadratic term (which gives rise to tadpole diagrams) turns out to vanish due to the projection back into the SU(3) group that is part of the definition of HYP-smearing [9,12,13].…”

Section: Actions and Operatorsmentioning

confidence: 99%

“…The gluon propagator for the Symanzik action was determined in Ref. [14]; we use the simpler form presented in our earlier work [12]. 3 We show the Feynman diagrams contributing to oneloop matching factors to the two types of four-fermion operators in Figs.…”

Section: Feynman Diagrams and Their Evaluationmentioning

confidence: 99%

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One-loop matching of improved four-fermion staggered operators with an improved gluon action

2011

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We present results for one-loop matching factors of four-fermion operators composed of HYPsmeared staggered fermions. We generalize previous calculations by using the tree-level improved Symanzik gauge action. These results are needed for our companion numerical calculation of BK and related matrix elements. We find that the impact on one-loop matching factors of using the improved gluon action is much smaller than that from the use of either HYP smearing or meanfield improvement. The one-loop coefficients for mean-field improved, HYP-smeared operators with the Symanzik gauge action have a maximum magnitude of O(1) × αs, indicating that perturbation theory is reasonably convergent.

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“…This error is comparable to that estimated using NLO ChPT. The error due to the use of one-loop matching is estimated in another of the companion proceedings [7]. The error due to the uncertainty in the scale r 1 is estimated by varying the input values within the quoted errors and repeating the analysis.…”

Section: ) Fitmentioning

confidence: 99%

Determination of $B_K$ using improved staggered fermions (II)

Kim¹,

Jung²,

Lee³

et al. 2010

Proceedings of the XXVII International Symposium on Lattice Field Theory — PoS(LAT2009)

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We present results for B K calculated using HYP-smeared improved staggered fermions on the MILC asqtad lattices. In this report, the data is analyzed using the results of SU(2) staggered chiral perturbation theory (SChPT). We outline the derivation of the NLO SU(2) SChPT result, explain our fitting procedure, and outline how we estimate systematic errors. We also show the light sea-quark mass and lattice spacing dependence for both SU(2) and SU(3)-based analyses. Our preliminary result from the SU(2) analysis is B K (NDR, µ = 2 GeV) = 0.512±0.014±0.023. This is somewhat more accurate than our result from the SU(3) analysis. It is consistent with results obtained using valence domain-wall fermions.

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Determination of $B_K$ using improved staggered fermions (IV)

Abstract: We discuss the impact of using one-loop matching on the calculation of B K using HYP-smeared improved staggered fermions. We give estimates of size of the truncation errors from the missing two-loop corrections.

Cited by 5 publications

References 4 publications

Review of lattice results concerning low-energy particle physics

Review of lattice results concerning low-energy particle physics

One-loop matching of improved four-fermion staggered operators with an improved gluon action

Determination of $B_K$ using improved staggered fermions (II)

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