Renormalization Group Analysis of Lattice Theories and Improved Lattice Action. II -- four-dimensional non-abelian SU(N) gauge model

Iwasaki, Y.

doi:10.48550/arxiv.1111.7054

Cited by 64 publications

(76 citation statements)

References 1 publication

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“…The central value, statistical and systematic errors are determined in a similar way to the cases for the slope and curvature as presented in the previous subsection, and there is no systematic error coming from the choice of Z V . These results agree well with the experimental values in the dispersive representation of the form factors, I e K 0 = 0.15476 (18) and I µ K 0 = 0.10253 (16), in Ref. [31].…”

Section: Phase Space Integralsupporting

confidence: 92%

“…Furthermore, we confirm that the result is not changed, when the fit range of q 2 is squeezed as q 2 2 ≤ q 2 ≤ q 2 5 in the NLO ChPT fit with the fixed F 0 using the A1 data, which gives f + (0) = 0.9604 (16). Based on these fit analyses we conclude that the systematic error originating from the fit form dependence for the interpolation is as small as the statistical error in our result of f + (0).…”

Section: A1 A2supporting

confidence: 66%

“…We use the configurations generated with the Iwasaki gauge action [16] and the stoutsmeared Clover quark action at the physical point on (L/a) 3 × T /a = 128 3 × 128 lattice corresponding to (10.9 fm) 4 . These configurations are a subset of the PACS10 configurations.…”

Section: Set Upmentioning

confidence: 99%

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$K_{l3}$ form factors at the physical point on (10.9 fm)$^3$ volume

Kakazu,

Ishikawa,

Ishizuka

et al. 2019

Preprint

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We present the calculation of the K l3 form factors with N f = 2 + 1 nonperturbatively O(a)improved Wilson quark action and Iwasaki gauge action at the physical point on a large volume of (10.9 fm) 3 at one lattice spacing of a = 0.085 fm. We extract the form factors from 3-point functions with three different time separations between the source and sink operators to confirm suppression of excited state contributions. The form factors are calculated in very close to the zero momentum transfer, q 2 = 0, thanks to the large volume, so that stable interpolations to q 2 = 0 are carried out.Using our form factors, we obtain the form factor at q 2 = 0, f + (0) = 0.9603(16)( +14 −4 )( 44), where the first, second, and third errors are statistical, systematic errors from fit functions and finite lattice spacing, respectively. The result of f + (0) yields the Cabibbo-Kobayashi-Maskawa (CKM) matrix element, |V us | = 0.2255(12)(4), where the first error comes from our calculation and the second from the experiment. This value is consistent with the ones determined from the unitarity of the CKM matrix and the K l2 decay within one standard deviation, while it is slightly larger than recent lattice calculations by at most 1.6 σ. Furthermore, we evaluate the shape of the form factors and the phase space integral from our results. We confirm that those results are consistent with the experiment, and also |V us | determined with our phase space integral agrees with the one in the above.

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Section: Phase Space Integralsupporting

confidence: 92%

Section: A1 A2supporting

confidence: 66%

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$K_{l3}$ form factors at the physical point on (10.9 fm)$^3$ volume

Kakazu,

Ishikawa,

Ishizuka

et al. 2019

Preprint

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“…On the other hand, Iwasaki 111 includes the rectangular term only and uses an approximate block-spin renormalization group analysis of Wilson loops to determine c 1 = −0.331. Coefficient of the plaquette term satisfies the normalization condition, c 0 = 1 − 8c 1 = 3.648.…”

Section: Gauge Actionmentioning

confidence: 99%

Lattice QCD study of the elastic and transition form factors of charmed baryons

Can

2021

Preprint

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Composite nature of a particle can be probed by electromagnetic interactions and information about their structure is embedded in form factors. Most of the experimental and theoretical efforts on baryon electromagnetic form factors have been focused on nucleon while the data on charmed sector is limited to spectroscopy, and weak and strong decays. Forthcoming experiments with a heavy-hadron physics program at major experimental facilities are expected to provide a wealth of information on charmed baryons, which calls for a better understanding of the heavy-sector dynamics from theoretical grounds.We review the progress in calculating the elastic and transition form factors of charmed baryons in lattice QCD. A collection of static observables, e.g. charge radii, multipole moments, are presented along with the elastic form factors up to Q 2 ∼ 1.5GeV 2 . As one would expect the charmed baryons are compact in comparison to nucleon and this is due to the presence of valence charm quark(s). The elastic and transition magnetic moments are both suppressed. The lattice results provide predictions for the transition magnetic moments, transition and helicity amplitudes and consequentially the decay widths of some singly and doubly charmed baryons.In general, lattice results are consonant with the qualitative expectations of quark model and heavy-quark symmetry, although there are apparent quantitative differences up to two orders of magnitude in some cases. There are, however, indications that the lattice results can be utilized to improve the model predictions. Nevertheless, discrepancies between the lattice and non-lattice calculations need to be understood better to have a solid insight into the dynamics of the heavy sector.Furthermore, reliably determined charmed baryon observables would be invaluable input to investigate the nature of exotic states, which further emphasizes the importance of rigorous, first-principles calculations to advance our understanding of the dynamics of the heavy quarks and strong interactions.

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“…Gauge configurations are generated on 24 3 × 96 and 24 3 × 64 lattices, saved at each 100 HMC trajectories. We employ Iwasaki gauge action [10] at the bare coupling β = 2.334, which corresponds to a lattice spacing of a −1 = 1.207 GeV [11] with a mean field improvement, C SW = 1.398. The valence quark hopping parameters are κ val = 0.1340, 0.1358, 0.1369.…”

Section: Set Upmentioning

confidence: 99%

Scattering length from BS wave function inside the interaction range

Namekawa¹,

Yamazaki²

2018

Preprint

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We evaluate I = 2 two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with m π = 0.52 − 0.86 GeV in the quenched lattice QCD. Furthermore, the half-off-shell amplitude is calculated, from which the effective range is extracted. Our results are compared with those by the conventional finite size method and by chiral perturbation theory to confirm consistency.

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Renormalization Group Analysis of Lattice Theories and Improved Lattice Action. II -- four-dimensional non-abelian SU(N) gauge model

Cited by 64 publications

References 1 publication

$K_{l3}$ form factors at the physical point on (10.9 fm)$^3$ volume

$K_{l3}$ form factors at the physical point on (10.9 fm)$^3$ volume

Lattice QCD study of the elastic and transition form factors of charmed baryons

Scattering length from BS wave function inside the interaction range

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