Lattice QCD Simulations towards Strong and Weak Coupling Limits

Tu, Jiqun

doi:10.7916/d8-74hj-ak60

Cited by 3 publications

(8 citation statements)

References 1 publication

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“…Although we observe very good scaling of our results indicating that discretization errors are generally small, we estimate our discretization uncertainties in a conservative fashion, which is robust unless there is significant cancellation between O(a 2 ) and O(a 4 ) or higher effects. However, such scaling violations are extremely unlikely since other observables computed on these lattices are consistent with calculations on finer lattices [43,56], and the hadron dispersion relations are accurately reproduced on both ensembles (see Figs. 7,8).…”

Section: Discussionmentioning

confidence: 58%

“…IV A). Lattice spacings and residual masses are computed elsewhere [45,55,56]. In the last group of columns, we show the number of light-quark deflation eigenvectors, the numbers of CG iterations to compute light-and strange-quark propagators for approximate samples, and the number of gauge configurations analyzed.…”

Section: B Lattice Setupmentioning

confidence: 99%

“…and any potential mixing is respectively simplified. The nonperturbative Green's functions are computed using quark propagators with point-sources and momentumprojected sinks in the Landau gauge, S q (x, p) = y e ip(x−y) q(x)q(y) , (56) which are contracted at the source x (spin and color indices are omitted)…”

Section: B Renormalization Of Decay Operatorsmentioning

confidence: 99%

“…We use the values of the renormalization factors Z W I A = 0.73457(11) (24ID) and 0.68779(11) (32ID) determined in Refs. [55,56] and perturbative calculations in the SMOM γµ scheme [68] (see App. C for details).…”

Section: B Renormalization Of Decay Operatorsmentioning

confidence: 99%

See 3 more Smart Citations

Proton decay matrix element on lattice at physical pion mass

Yoo¹,

Aoki²,

Izubuchi³

et al. 2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Proton decay is one of possible signatures of baryon number violation, which has to exist to explain the baryon asymmetry and the existence of nuclear matter. Proton decays must be mediated through effective low-energy baryon number violating operators made of three quarks and a lepton. We calculate matrix elements of these operators between the proton and various meson final states using the direct method. We report on preliminary results of matrix element calculation done with the 2+1 dynamical flavor domain wall fermions at the physical point for the first time.

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Section: Discussionmentioning

confidence: 58%

Section: B Lattice Setupmentioning

confidence: 99%

Section: B Renormalization Of Decay Operatorsmentioning

confidence: 99%

Section: B Renormalization Of Decay Operatorsmentioning

confidence: 99%

See 2 more Smart Citations

Proton decay matrix element on lattice at physical pion mass

Yoo¹,

Aoki²,

Izubuchi³

et al. 2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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“…We perform lattice calculation for two-pion scattering with 258 configurations on the 24 3 × 64 lattice with the lattice cutoff a −1 = 1.023 GeV and 107 configurations on the 32 3 × 64 lattice with a −1 = 1.378 GeV [39,40]. Both ensembles are generated with 2 + 1-flavor Möbius domain wall fermions and Iwasaki + DSDR (dislocation suppressed determinant ratio) gauge action.…”

Section: Introductionmentioning

confidence: 99%

Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD

Blum¹,

Boyle²,

Bruno³

et al. 2023

Preprint

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A study of two-pion scattering for the isospin channels, I = 0 and I = 2, using lattice QCD is presented. Möbius domain wall fermions on top of the Iwasaki-DSDR gauge action for gluons with periodic boundary conditions are used for the lattice computations which are carried out on two ensembles of gauge field configurations generated by the RBC and UKQCD collaborations with physical masses, inverse lattice spacings of 1.023 and 1.378 GeV, and spatial extents of L = 4.63 and 4.58 fm, respectively. The all-to-all propagator method is employed to compute a matrix of correlation functions of two-pion operators. The generalized eigenvalue problem (GEVP) is solved for a matrix of correlation functions to extract phase shifts with multiple states, two pions with a non-zero relative momentum as well as two pions at rest. Our results for phase shifts for both I = 0 and I = 2 channels are consistent with and the Roy Equation and chiral perturbation theory, though at this preliminary stage our errors for I = 0 are large. An important finding of this work is that GEVP is useful to obtain signals and matrix elements from multiple states.

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$K_L\rightarrow\mu^+\mu^-$ from lattice QCD

Chao,

Christ,

Feng

et al. 2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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We propose a lattice-QCD-suitable framework for computing the two-photon long-distance contribution to the complex L → + − decay amplitude, where QED is treated perturbatively in the continuum and infinite-volume. We provide preliminary numerical results on the quark-connected diagrams on one ensemble at physical pion mass from this method, with well-controlled systematic errors. The successful application of this method will allow the determination of the dispersive part of the aforementioned contribution from first-principles and enable a meaningful comparison between the Standard-Model prediction and experiment.

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Lattice QCD Simulations towards Strong and Weak Coupling Limits

Cited by 3 publications

References 1 publication

Proton decay matrix element on lattice at physical pion mass

Proton decay matrix element on lattice at physical pion mass

Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD

$K_L\rightarrow\mu^+\mu^-$ from lattice QCD

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