Perturbative corrections to staggered-fermion lattice operators

Daniel, David; Sheard, Stephen N.

doi:10.1016/0550-3213(88)90211-8

Cited by 58 publications

(74 citation statements)

References 15 publications

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“…It has been noticed in Ref. [16] and in PS that, at one-loop, the latter result holds also for odd distance bilinears, although this does not follow from U(1) A symmetry. We now understand this result.…”

Section: Bilinearsmentioning

confidence: 75%

“…Following Refs. [16] and PS, we call the first three Xa, Xb and Xc diagrams, and the remaining two Z and ZT diagrams. For tadpole-improved operators the contribution of ZT diagram cancels with the O(g 2 ) term in the expansion of u −1 0 , so one can exclude these diagrams from the start.…”

Section: Overview Of Methodsmentioning

confidence: 99%

“…Gauge-invariant fourfermion operators were discussed by Daniel and Sheard [16], and the complete results for some of these operators were given by Sheard [17]. The calculation for Landau-gauge fourfermion operators turns out to be simpler than that for gauge-invariant operators, requiring only the matching coefficients for bilinears.…”

Section: Introductionmentioning

confidence: 99%

“…One simply replaces the quark field in Eq. 2.12 by 16) and performs a similar replacement for the antiquark field. The resulting "smeared" operators are spread over a 4 4 hypercube.…”

Section: Bilinearsmentioning

confidence: 99%

“…All make use of a set of matrices which are related to (γ S ⊗ ξ F ) by a unitary transformation [16,21] :…”

Section: Bilinearsmentioning

confidence: 99%

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Perturbative corrections for staggered four-fermion operators

1994

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We present results for one-loop matching coefficients between continuum fourfermion operators, defined in the Naive Dimensional Regularization scheme, and staggered fermion operators of various types. We calculate diagrams involving gluon exchange between quark lines, and "penguin" diagrams containing quark loops. For the former we use Landau gauge operators, with and without O(a) improvement, and including the tadpole improvement suggested by Lepage and Mackenzie. For the latter we use gauge-invariant operators. Combined with existing results for two-loop anomalous dimension matrices and one-loop matching coefficients, our results allow a lattice calculation of the amplitudes for KK mixing and K → ππ decays with all corrections of O(g 2 ) included. We also discuss the mixing of ∆S = 1 operators with lower dimension operators, and show that, with staggered fermions, only a single lower dimension operator need be removed by non-perturbative subtraction.

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Section: Bilinearsmentioning

confidence: 75%

Section: Overview Of Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…One simply replaces the quark field in Eq. 2.12 by 16) and performs a similar replacement for the antiquark field. The resulting "smeared" operators are spread over a 4 4 hypercube.…”

Section: Bilinearsmentioning

confidence: 99%

“…All make use of a set of matrices which are related to (γ S ⊗ ξ F ) by a unitary transformation [16,21] :…”

Section: Bilinearsmentioning

confidence: 99%

See 3 more Smart Citations