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

Divitiis, Giulia Maria de; Dimopoulos, P.; Frezzotti, R.; Lubicz, V.; Martinelli, G.; Petronzio, R.; Rossi, G.C.; Sanfilippo, Francesco; Simula, Silvano; Tantalo, Nazario; Tarantino, Cecilia

doi:10.1007/jhep04(2012)124

Cited by 91 publications

(147 citation statements)

References 48 publications

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“…[22] and the RM123 result in ref. [15]. There is a substantial agreement between the different determinations and, by relying in particular on the BMW result, this is a first confirmation that the proton cannot decay weakly.…”

Section: Pos(lattice 2013)007supporting

confidence: 61%

“…[15,7] it has been shown that LIBE can be calculated efficiently and accurately by expanding the lattice QCD+QED path-integral of eq. (2.4) in powers of…”

Section: Libe As a Perturbationmentioning

confidence: 99%

“…In the first QCD calculation using the 24 3 ensemble, it was estimated that scaling errors were at about the four percent level for low energy quantities like the pion decay constant and the kaon [7]. Since then, a new calculation at the same physical volume but smaller lattice spacing has shown this estimate was about right, or perhaps a bit conservative [15][16][17]. Of course, here we are interested only in the mass splittings.…”

Section: Finite Volume Effectsmentioning

confidence: 99%

“…Instead, the lattice spacing errors enter in the LEC's and the physical quark masses. Therefore we assign a robust four percent scaling error to the quark masses, which will be eliminated in up-coming calculations on the finer lattice spacing ensemble [15][16][17]. This error also encompasses the uncertainty in setting the lattice scale itself, which as mentioned earlier di↵ers by about 2 ⇠ 3 percent from the scale given in…”

Section: Finite Volume Effectsmentioning

confidence: 99%

“…This is the approach followed in ref. [15] where QCD IBE corrections to the ratio F K /F π have been calculated by starting from eq. (5.4).…”

Section: Ibe On Hadronic Matrix Elementsmentioning

confidence: 99%

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Isospin Breaking Effects in Lattice QCD

Tantalo¹

2014

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

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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.

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Section: Pos(lattice 2013)007supporting

confidence: 61%

“…[15,7] it has been shown that LIBE can be calculated efficiently and accurately by expanding the lattice QCD+QED path-integral of eq. (2.4) in powers of…”

Section: Libe As a Perturbationmentioning

confidence: 99%

Section: Finite Volume Effectsmentioning

confidence: 99%

Section: Finite Volume Effectsmentioning

confidence: 99%

“…This is the approach followed in ref. [15] where QCD IBE corrections to the ratio F K /F π have been calculated by starting from eq. (5.4).…”

Section: Ibe On Hadronic Matrix Elementsmentioning

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)

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Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ

Morte

Jäger

Jüttner

et al. 2012

J. High Energ. Phys.

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We report on our computation of the leading hadronic contribution to the anomalous magnetic moment of the muon using two dynamical flavours of nonperturbatively O(a) improved Wilson fermions. The strange quark is introduced in the quenched approximation. Partially twisted boundary conditions are applied to improve the momentum resolution in the relevant integral. Our results, obtained at three different values of the lattice spacing, allow for a preliminary study of discretization effects. We explore a wide range of lattice volumes, namely 2 fm ≤ L ≤ 3 fm, with pion masses from 600 to 280 MeV and discuss different chiral extrapolations to the physical point. We observe a non-trivial dependence of a HLO µ on m π especially for small pion masses. The final result, a HLO µ = 618(64) × 10 −10 , is obtained by considering only the quark connected contribution to the vacuum polarization. We present a detailed analysis of systematic errors and discuss how they can be reduced in future simulations.

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First results on QCD+QED with C* boundary conditions

Bushnaq

Plasencia

Catillo

et al. 2023

J. High Energ. Phys.

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Accounting for isospin-breaking corrections is critical for achieving subpercent precision in lattice computations of hadronic observables. A way to include QED and strong-isospin-breaking corrections in lattice QCD calculations is to impose C⋆ boundary conditions in space. Here, we demonstrate the computation of a selection of meson and baryon masses on two QCD and five QCD+QED gauge ensembles in this setup, which preserves locality, gauge and translational invariance all through the calculation. The generation of the gauge ensembles is performed for two volumes, and three different values of the renormalized fine-structure constant at the U-symmetric point, corresponding to the SU(3)-symmetric QCD in the two ensembles where the electromagnetic coupling is turned off. We also present our tuning strategy and, to the extent possible, a cost analysis of the simulations with C⋆ boundary conditions.

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

Cited by 91 publications

References 48 publications

Isospin Breaking Effects in Lattice QCD

Isospin Breaking Effects in Lattice QCD

Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ

First results on QCD+QED with C* boundary conditions

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