Finite volume effects in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>K</mml:mi></mml:msub></mml:math>with improved staggered fermions

Kim, Jangho; Jung, Chulwoo; Kim, Hyungjin; Lee, Weonjong; Sharpe, Stephen R.

doi:10.1103/physrevd.83.117501

Cited by 18 publications

(13 citation statements)

References 5 publications

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“…Thus the result of SWME 13 [316] (which is an update of the earlier published calculations of Refs. [299,300]) now qualifies for inclusion, despite the fact that non-perturbative information on the renormalisation factors is not available. Reference [77], Laiho 11 has appeared only as conference proceedings, but since it extends the study of Ref.…”

Section: Lattice Computation Of B Kmentioning

confidence: 99%

“…This conversion relies on oneor two-loop perturbative matching calculations, the truncation errors in which are, for many recent calculations, the dominant source of error inB K [25,77,[298][299][300]. While this scheme-conversion error is not, strictly speaking, an error of the lattice calculation itself, it must be included in results for the quantities of phenomenological interest, namely B K (MS, 2 GeV) andB K .…”

Section: Indirect Cp-violation and Kmentioning

confidence: 99%

“…The SWME 11, 11A, 13 results [299,300,316] are obtained using a mixed action: HYP-smeared valence staggered quarks on the Asqtad improved, rooted staggered MILC ensembles. Compared to the previous edition of the FLAG review [1], one major update is the addition of a fourth, finer, lattice spacing.…”

Section: Lattice Computation Of B Kmentioning

confidence: 99%

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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: 99%

Section: Indirect Cp-violation and Kmentioning

confidence: 99%

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Review of lattice results concerning low-energy particle physics

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“…Since on each ensemble we are extrapolating to the physical valence quark masses, the dominant FV effects are present, even though on ensembles C3 and C3-2 we are far from the physical values of L P and a. In our calculation of B K , we have used the comparison of doing the X-fits with finite-and infinite-volume SChPT forms as an alternative estimate of the FV error [40]. However, this method is not useful for the gold-plated combinations, since they do not contain NLO chiral logarithms.…”

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confidence: 99%

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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“…Even if the systematic error that originates from the finite volume effect is very small, it cannot be neglected in an accurate estimate of B K . In this study, we derived the finite volume effect formula from the SU (2) staggered chiral perturbation theory [3] and fit the data by using this formula. However, drawing the fitting result with plots is difficult because drawing plots requires excessive computing resources.…”

Section: Introductionmentioning

confidence: 99%

A study on the optimization of finite volume effects of B K in lattice QCD by using the CUDA

Kim

Cho

2015

Journal of the Korean Physical Society

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Lattice quantum chromodynamics (QCD) is the non-perturbative implementation of field theory to solve the QCD theory of quarks and gluons by using the Feynman path integral approach. We calculate the kaon CP (charge-parity) violation parameter BK generally arising in theories of physics beyond the Standard Model. Because lattice simulations are performed on finite volume lattices, the finite volume effects must be considered to exactly estimate the systematic error. The computational cost of numerical simulations may increase dramatically as the lattice spacing is decreased. Therefore, lattice QCD calculations must be optimized to account for the finite volume effects. The methodology used in this study was to develop an algorithm to parallelize the code by using a graphic processing unit (GPU) and to optimize the code to achieve as close to the theoretical peak performance as possible. The results revealed that the calculation speed of the newly-developed algorithm is significantly improved compared with that of the current algorithm for the finite volume effects.

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Finite volume effects inBKwith improved staggered fermions

Cited by 18 publications

References 5 publications

Review of lattice results concerning low-energy particle physics

Review of lattice results concerning low-energy particle physics

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

A study on the optimization of finite volume effects of B K in lattice QCD by using the CUDA

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