The K
                     
                        ℓ3 scalar form factors in the standard model

Kastner, Alexander; Neufeld, H.

doi:10.1140/epjc/s10052-008-0703-6

Cited by 56 publications

(83 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With the reweighted data of the meson masses calculated, chiral fits are performed to obtain the QED LECs in Eqs. (1) and (3). Although C is known from the qQED study [4], it provides a valuable consistency check with the qQED result.…”

Section: Qcd+qed On the Latticementioning

confidence: 98%

“…In Ref. [3], it was shown that this hair is a large source of noise in hadron correlators. The leading unwanted piece can, however, be removed by averaging over plus and minus EM charges, the so-called ±e trick, and it provides a great advantage in which the unphysical noise is exactly canceled in the valence sector [3,4];…”

Section: Qcd+qed On the Latticementioning

confidence: 99%

“…3 F K and F π are the kaon and pion decay constants in the isosymmetric limit while F Kπ + (q 2 ) is the form factor entering the semileptonic decay rate of a kaon into a pion in the isosymmetric limit ( (2.1)…”

Section: Qcd+qed On the Latticementioning

confidence: 99%

“…For clarity, only about a quarter of the data is shown. The red squares and magenta crosses show results for the two ensembles that differ only by the spatial volume: 20 3 and 28 3 , respectively. The vertical black bar labeled "BMW" shows the expected difference for kaons between these two volumes, based on the results from the BMW collaboration [8].…”

Section: Finite Volume Effectsmentioning

confidence: 99%

“…According to the FLAG2 average [2], we know the ratio 3 F K /F π and the zero recoil form factor F Kπ + (0) with an accuracy of ∼ 0.4%. QCD isospin breaking effects on these quantities have been estimated in chiral perturbation theory [3,4] and are expected to be ∼ −0.2% for the ratio of decay constants and as large as 3% for the form factor. We are rapidly approaching a situation in which it will be useless to put efforts in further reducing the uncertainty on isosymmetric hadronic observables if isospin breaking effects (IBE) are not taken into account from first principles.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Isospin Breaking Effects in Lattice QCD

Tantalo¹

2014

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

View full text Add to dashboard Cite

Isospin symmetry is not exact and the corrections to the isosymmetric limit are, in general, at the percent level. For gold plated quantities, such as pseudoscalar meson masses or the kaon leptonic and semileptonic decay rates, these effects are of the same order of magnitude of the errors quoted in nowadays lattice calculations and cannot be neglected any longer. In this talk I discuss the methods that have been developed in the last few years to calculate isospin breaking corrections by starting from first principles lattice simulations. In particular, I discuss how to perform a combined QCD+QED lattice simulation and a renormalization prescription to be used in order to separate QCD from QED isospin breaking effects. A brief review of recent lattice results of isospin breaking effects on the hadron spectrum is also included.

show abstract

Section: Qcd+qed On the Latticementioning

confidence: 98%

Section: Qcd+qed On the Latticementioning

confidence: 99%

Section: Qcd+qed On the Latticementioning

confidence: 99%

Section: Finite Volume Effectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Isospin Breaking Effects in Lattice QCD

Tantalo¹

2014

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

View full text Add to dashboard Cite

show abstract

Chiral extrapolation of the strangeness changing scalar Kπ form factor

Bernard

Passemar

2010

J. High Energ. Phys.

View full text Add to dashboard Cite

We perform a chiral extrapolation of lattice data on the scalar Kπ form factor and the ratio of the kaon and pion decay constants within Chiral Perturbation Theory to two loops. We determine the value of the scalar form factor at zero momentum transfer, at the Callan-Treiman point and at its soft kaon analog as well as its slope. Results are in good agreement with their determination from experiment using the standard couplings of quarks to the W boson. The slope is however rather large. A study of the convergence of the chiral expansion is also performed.

show abstract

Isospin breaking effects due to the up-down mass difference in lattice QCD

Divitiis

Dimopoulos

Frezzotti

et al. 2012

J. High Energ. Phys.

142

View full text Add to dashboard Cite

""We present a new method to evaluate with high precision isospin breaking effects due to the small mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can be computed on the lattice. It is based on the expansion of the path-integral in powers of the small parameter m(d) - m(u). In this paper, we apply this method to compute the leading isospin breaking effects for several physical quantities of interest: the kaon meson masses, the kaon decay constant, the form factors of semileptonic K-l3 decays and the neutron-proton mass splitting"

show abstract

The K ℓ3 scalar form factors in the standard model

Cited by 56 publications

References 52 publications

Isospin Breaking Effects in Lattice QCD

Isospin Breaking Effects in Lattice QCD

Chiral extrapolation of the strangeness changing scalar Kπ form factor

Isospin breaking effects due to the up-down mass difference in lattice QCD

Contact Info

Product

Resources

About