Domain wall QCD with near-physical pions

Arthur, Rangel; Blum, Thomas; Boyle, P. A.; Christ, Norman H.; Garrón, Nicolas; Hudspith, Renwick J.; Izubuchi, Taku; Jung, Chulwoo; Kelly, Christopher; Lytle, Andrew; Mawhinney, Robert D.; Murphy, D.; Ohta, Shigemi; Sachrajda, C. T.; Soni, Amarjit; Yu, J.; Zanotti, J. M.

doi:10.1103/physrevd.87.094514

Cited by 122 publications

(164 citation statements)

References 59 publications

(136 reference statements)

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“…The current analysis clearly confirms this phenomenum seen in [4]. We also provide a value in the Renormalisation Group Independent (RGI) scheme in Tab.…”

Section: Pos(lattice 2013)460supporting

confidence: 69%

“…The fits we show are only based on blue and red points, so that the systematic error separating the two formulae is very visible, although the purple data already suppressed much of this problem [4]. In the present study, on top of improving the statistical error, those systematics are completely removed.…”

Section: Pos(lattice 2013)460mentioning

confidence: 75%

“…Nevertheless, an Operator Product Expansion (OPE) allows a separation between the perturbative part and a non-perturbative QCD part that can be computed on the lattice. Lattice computation have already been very successful on this path (see [1,2] for a review, and [3,4] for previous results of our collaboration), and what is at stake is now an improvement of the uncertainties.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Kaon Bag Parameter at Physical Mass

Frison¹,

Boyle²,

Christ³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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We present preliminary results for the calculation of the Kaon Bag parameter B K in N f = 2 + 1 lattice QCD, using Möbius Domain Wall Fermion ensembles generated by the RBC-UKQCD collaboration. This computation is done directly at physical meson masses, so that we do not have to rely on chiral perturbation theory or any other mass extrapolation. In parallel, the four-quark operator is renormalised through the Rome-Southampton technique. Finally, we compare our value with previous results and draw some conclusions about the remaining dominant contributions in our error budget.

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“…The current analysis clearly confirms this phenomenum seen in [4]. We also provide a value in the Renormalisation Group Independent (RGI) scheme in Tab.…”

Section: Pos(lattice 2013)460supporting

confidence: 69%

Section: Pos(lattice 2013)460mentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Kaon Bag Parameter at Physical Mass

Frison¹,

Boyle²,

Christ³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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show abstract

“…The simulated time extent is T /a = 64 on both lattices, but for the fine lattice we implement the Periodic ± Antiperiodic trick which is designed to reduce the round the world artifacts. Effectively this trick doubles the number of accessible points [34] (see also the discussion in [32]). Although the signal obtained from the coarse lattice time slice per time slice is different from the one of the fine lattice, the precision obtained on the ratio R Lat k (by a correlated fit) is of the same order.…”

Section: Jhep11(2016)001mentioning

confidence: 99%

Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 1: bare matrix elements and physical results

Garrón

Hudspith

Lytle

2016

J. High Energ. Phys.

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Abstract:We compute the hadronic matrix elements of the four-quark operators relevant for K 0 −K 0 mixing beyond the Standard Model. Our results are from lattice QCD simulations with n f = 2 + 1 flavours of domain-wall fermion, which exhibit continuum-like chiral-flavour symmetry. The simulations are performed at two different values of the lattice spacing (a ∼ 0.08 and a ∼ 0.11 fm) and with lightest unitary pion mass ∼ 300 MeV. For the first time, the full set of relevant four-quark operators is renormalised non-perturbatively through RI-SMOM schemes; a detailed description of the renormalisation procedure is presented in a companion paper. We argue that the intermediate renormalisation scheme is responsible for the discrepancies found by different collaborations. We also study different normalisations and determine the matrix elements of the relevant four-quark operators with a precision of ∼ 5% or better.

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“…The domain wall formalism has been exploited by RBC-UKQCD Collaborations (see, e.g., [47]), and the overlap formalism by JLQCD (see [48] for a recent review). The situation with the perfect action is reported in [49].…”

Section: Lattice Fermion Action With Chiral Symmetrymentioning

confidence: 99%

Kenneth Wilson and Lattice QCD

Ukawa

2015

J Stat Phys

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We discuss the physics and computation of lattice QCD, a spacetime lattice formulation of quantum chromodynamics, and Kenneth Wilson's seminal role in its development. We start with the fundamental issue of confinement of quarks in the theory of the strong interactions, and discuss how lattice QCD provides a framework for understanding this phenomenon. A conceptual issue with lattice QCD is a conflict of space-time lattice with chiral symmetry of quarks. We discuss how this problem is resolved. Since lattice QCD is a non-linear quantum dynamical system with infinite degrees of freedom, quantities which are analytically calculable are limited. On the other hand, it provides an ideal case of massively parallel numerical computations. We review the long and distinguished history of parallel-architecture supercomputers designed and built for lattice QCD. We discuss algorithmic developments, in particular the difficulties posed by the fermionic nature of quarks, and their resolution. The triad of efforts toward better understanding of physics, better algorithms, and more powerful supercomputers have produced major breakthroughs in our understanding of the strong interactions. We review the salient results of this effort in understanding the hadron spectrum, the Cabibbo-Kobayashi-Maskawa matrix elements and CP violation, and quark-gluon plasma at high temperatures. We conclude with a brief summary and a future perspective.

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Domain wall QCD with near-physical pions

Cited by 122 publications

References 59 publications

The Kaon Bag Parameter at Physical Mass

The Kaon Bag Parameter at Physical Mass

Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 1: bare matrix elements and physical results

Kenneth Wilson and Lattice QCD

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