QED Corrections to Hadronic Processes in Lattice QCD

Carrasco, N.; Lubicz, V.; Martinelli, G.; Sachrajda, C. T.; Tantalo, N.; Tarantino, C.; Testa, M.

doi:10.48550/arxiv.1502.00257

Cited by 21 publications

(66 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One can for example look at the recent study by the Mainz group [22] of the disconnected contributions to the hadronic vacuum polarization. This approach has the advantage of isolating specific perturbative contributions which can be useful for the control and understanding of IR divergences in hadronic processes [23].…”

Section: Full Qcd+qed Simulationsmentioning

confidence: 99%

“…Indeed, such quantity can feature IR divergences that are physically cancelled by the addition of real soft photons in the final state. Recently, a proposal has been made [23] to deal with such divergences in the case of meson decays. Also, QCD+QED simulations can be used to perform non-perturbative computation of the hadronic corrections to the muon anomalous magnetic moment [42].…”

Section: Conclusion and Perspectivementioning

confidence: 99%

See 1 more Smart Citation

Inclusion of isospin breaking effects in lattice simulations

Portelli¹

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

View full text Add to dashboard Cite

Isospin symmetry is explicitly broken in the Standard Model by the mass and electric charge of the up and down quarks. These effects represent a perturbation of hadronic amplitudes at the percent level. Although these contributions are small, they play a crucial role in hadronic and nuclear physics. Moreover, as lattice computations are becoming increasingly precise, it is becoming more and more important to include these effects in numerical simulations. We summarize here how to properly define QCD and QED on a finite and discrete space-time so that isospin corrections to hadronic observables can be computed ab-initio and we review the main results on the isospin corrections to the hadron spectrum. We mainly focus on the recent work going beyond the electro-quenched approximation.

show abstract

Section: Full Qcd+qed Simulationsmentioning

confidence: 99%

Section: Conclusion and Perspectivementioning

confidence: 99%

Inclusion of isospin breaking effects in lattice simulations

Portelli¹

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

View full text Add to dashboard Cite

show abstract

“…When the precision reaches percent or subpercent level, another fundamental force, electromagnetic interaction, is urged to be considered in theoretical calculations, although its effects are suppressed by a factor of the fine-structure constant α EM ≈ 1 137. Inclusion of the electromagentic corrections does not only provide precise hadron spectroscopy [2][3][4][5][6][7][8][9][10][11][12], but also plays an important role in studies of leptonic and semileptonic decays of hadrons [13][14][15][16][17][18][19], which dramatically expands the horizon of lattice QCD studies.…”

Section: Introductionmentioning

confidence: 99%

Lattice QCD Calculation of the Pion Mass Splitting

Feng,

Jin,

Riberdy

2021

Preprint

View full text Add to dashboard Cite

We use the infinite volume reconstruction method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated using lattice QCD and then combined with an analytic photon propagator, and the mass splitting is calculated with exponentially-suppressed finite volume errors. The calculation is performed using six gauge ensembles generated with 2 + 1-flavor domain wall fermions, and five ensembles are at the physical pion mass. Both Feynman and Coulomb gauges are adopted in the calculation and agree well when the lattice spacing approaches zero. After performing the continuum extrapolation and examining the residual finite-volume effects, we obtain the pion mass splitting ∆mπ = 4.534(42)(43) MeV, which agrees well with experimental measurements.

show abstract

“…• a new strategy has been proposed recently [6] in order to determine on the lattice the inclusive decay rate of a charged PS-meson into either a final ± ν pair or a final ± ν γ state. In Section 2 the new approach will be briefly presented together with the preliminary results obtained in the case of π 2 and K 2 decays [7].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, a lattice evaluation of the leptonic decay rates including both QCD and QED is mandatory and in this respect a new strategy has been proposed in Ref. [6]. There the inclusive rate…”

mentioning

confidence: 99%

$|V_{us}|$ from $K$ decays in theory

Simula¹

2017

Proceedings of 9th International Workshop on the CKM Unitarity Triangle — PoS(CKM2016)

View full text Add to dashboard Cite

Leptonic and semileptonic kaon decays represent till now the golden modes for the extraction of the Cabibbo angle from experiments, provided the relevant hadronic quantities, namely the ratio of the kaon and pion leptonic decay constants, f K / f π , and the semileptonic vector form factor at zero four-momentum transfer, f + (0), are computed accurately from QCD. In the last years, using large-scale lattice QCD simulations, the determination of both f K / f π and f + (0) has reached an impressive level of precision (≈ 0.3%), which is expected to be further improved in the near future. However, at a permille level of precision both electromagnetic and strong isospinbreaking effects cannot be neglected anymore. In this contribution a new lattice strategy aiming at determining QCD+QED effects in the inclusive leptonic decay rates of charged pseudoscalar mesons is briefly illustrated, and the preliminary results obtained in the case of π 2 and K 2 decays are presented. As for the semileptonic K 3 decays, it is pointed out that the determination of the relevant form factors in the full kinematical range covered by the experiments is necessary for a more stringent test of the Standard Model. In this respect the perspectives based on the only existing results from the European Twisted Mass Collaboration (ETMC) are quite encouraging.9th International Workshop on the CKM Unitarity Triangle

show abstract

QED Corrections to Hadronic Processes in Lattice QCD

Cited by 21 publications

References 0 publications

Inclusion of isospin breaking effects in lattice simulations

Inclusion of isospin breaking effects in lattice simulations

Lattice QCD Calculation of the Pion Mass Splitting

$|V_{us}|$ from $K$ decays in theory

Contact Info

Product

Resources

About