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

Kim, Jongjeong; Lee, Weonjong; Sharpe, Stephen R.

doi:10.1103/physrevd.83.094503

Cited by 12 publications

(37 citation statements)

References 38 publications

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“…The notation for the operators used in this figure is explained in Refs. [29,30]. We find that the auto-correlations increase as the lattice spacing decreases.…”

Section: Lattices and Measurementsmentioning

confidence: 58%

“…[30], building on the earlier work of Ref. [29], and we do not repeat them here. They depend on the renormalization scale µ of the continuum operator and on α s .…”

Section: Lattices and Measurementsmentioning

confidence: 99%

“…We use the mean-field improved lattice operators defined in Refs. [29,30]. The one-loop matching is quite involved as one must ensure that the continuum basis is extended to d = 4 − 2 dimensions using the same definition of evanescent operators as in Ref.…”

Section: Lattices and Measurementsmentioning

confidence: 99%

“…These results are provided in Refs. [29,30]. Finally, we need to evolve matrix elements using the continuum renormalization group for ∆S = 2 operators.…”

Section: Introductionmentioning

confidence: 99%

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Kaon BSMB-parameters using improved staggered fermions fromNf=2+1unquenched QCD

et al. 2016

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We present results for the matrix elements of the additional ∆S = 2 operators that appear in models of physics beyond the Standard Model (BSM), expressed in terms of four BSM B-parameters. Combined with experimental results for ∆MK and K , these constrain the parameters of BSM models. We use improved staggered fermions, with valence HYP-smeared quarks and N f = 2 + 1 flavors of "asqtad" sea quarks. The configurations have been generated by the MILC collaboration. The matching between lattice and continuum four-fermion operators and bilinears is done perturbatively at one-loop order. We use three lattice spacings for the continuum extrapolation: a ≈ 0.09, 0.06 and 0.045 fm. Valence light-quark masses range down to ≈ m phys s /13 while the light sea-quark masses range down to ≈ m phys s /20. Compared to our previous published work, we have added four additional lattice ensembles, leading to better controlled extrapolations in the lattice spacing and sea-quark masses. We report final results for two renormalization scales, µ = 2 GeV and 3 GeV, and compare them to those obtained by other collaborations. Agreement is found for two of the four BSM B-parameters (B2 and B SUSY 3). The other two (B4 and B5) differ significantly from those obtained using RI-MOM renormalization as an intermediate scheme, but are in agreement with recent preliminary results obtained by the RBC-UKQCD collaboration using RI-SMOM intermediate schemes.

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“…The notation for the operators used in this figure is explained in Refs. [29,30]. We find that the auto-correlations increase as the lattice spacing decreases.…”

Section: Lattices and Measurementsmentioning

confidence: 58%

“…[30], building on the earlier work of Ref. [29], and we do not repeat them here. They depend on the renormalization scale µ of the continuum operator and on α s .…”

Section: Lattices and Measurementsmentioning

confidence: 99%

Section: Lattices and Measurementsmentioning

confidence: 99%

“…These results are provided in Refs. [29,30]. Finally, we need to evolve matrix elements using the continuum renormalization group for ∆S = 2 operators.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Kaon BSMB-parameters using improved staggered fermions fromNf=2+1unquenched QCD

et al. 2016

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“…We adopt the basis 5) where σ µν = [γ µ , γ ν ]/2, and a and b are color indices. This basis was used in the highest-order continuum calculations of anomalous dimensions [6], and is the most natural choice for our staggered calculation of the matrix elements, in which we match onto continuum operators using 1-loop perturbation theory (PT) [7]. Many authors, including Refs.…”

Section: Introductionmentioning

confidence: 99%

Chiral extrapolation of matrix elements of BSM kaon operators

Bailey¹,

Kim²,

Lee³

et al. 2012

Proceedings of the 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)

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Models of new physics induce K 0 − K 0 mixing through operators having Dirac structures other than the "left-left" form of the Standard Model. To carry out the chiral-continuum extrapolation of results from numerical simulations, one needs to know the quark mass and lattice spacing dependence of the corresponding B-parameters in the partially quenched theory at least at nextto-leading order. For simulations using staggered fermions (such as that we are doing with HYPsmeared valence fermions on the MILC asqtad lattices) one must determine this dependence using staggered chiral perturbation theory (SChPT). We have calculated the required dependence in both SU(3) and SU(2) SChPT, working at next-to-leading order, and we give here an overview of the methodology and results. The SU(3) SChPT result turns out to be much simpler than that for the Standard Model B K operator, due to the absence of chiral suppression for the new operators. The SU(2) SChPT result turns out to be closely related to that for B K : the chiral logarithms are identical, up to an operator-dependent sign. Our results are also useful for fermions with chiral symmetry as they provide, in the continuum limit, the partially quenched generalization of existing continuum results.

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