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First-principles studies of strongly-interacting hadronic systems using lattice quantum chromodynamics (QCD) have been complemented in recent years with the inclusion of quantum electrodynamics (QED). The aim is to confront experimental…

High Energy Physics - Lattice · Physics 2019-03-21 Zohreh Davoudi , James Harrison , Andreas Jüttner , Antonin Portelli , Martin J. Savage

Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to…

High Energy Physics - Lattice · Physics 2014-10-07 Zohreh Davoudi , Martin J. Savage

We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing…

High Energy Physics - Lattice · Physics 2024-01-17 Matteo Di Carlo

Using the infinite-volume photon propagator, we developed a method which allows us to calculate electromagnetic corrections to stable hadron masses with only exponentially suppressed finite-volume effects. The key idea is that the infinite…

High Energy Physics - Lattice · Physics 2019-12-04 Xu Feng , Luchang Jin

In Ref. [1], a method was proposed to calculate QED corrections to hadronic self energies from lattice QCD without power-law finite-volume errors. In this paper, we extend the method to processes which occur at second-order in the weak…

High Energy Physics - Lattice · Physics 2021-01-13 Norman H. Christ , Xu Feng , Lu-Chang Jin , Christopher T. Sachrajda

We present our progress on calculating leading-order QED corrections to meson masses and bare quark masses. As lattice QCD calculations become more precise, these QED corrections are becoming more important. However, one of the challenges…

High Energy Physics - Lattice · Physics 2025-05-01 Joshua Swaim

Lattice QCD calculations of leptonic decay constants have now reached sub-percent precision so that isospin-breaking corrections, including QED effects, must be included to fully exploit this precision in determining fundamental quantities,…

High Energy Physics - Lattice · Physics 2023-07-19 Norman H. Christ , Xu Feng , Lu-Chang Jin , Christopher T. Sachrajda , Tianle Wang

We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at $O(\alpha)$ are universal, i.e. they are independent of the structure of the meson. This is…

High Energy Physics - Lattice · Physics 2017-03-01 V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

On account of its application to the present and future analysis of the virtual photon correction to the hadronic properties by means of lattice QCD simulation, we initiate the study of the finite size scaling effect on the QED correction…

High Energy Physics - Phenomenology · Physics 2008-12-18 Masashi Hayakawa , Shunpei Uno

The current precision reached by lattice QCD calculations of low-energy hadronic observables, requires not only the introduction of electromagnetic corrections, but also control over all the potential systematic uncertainties introduced by…

High Energy Physics - Lattice · Physics 2022-01-11 M. A. Clark , M. Della Morte , Z. Hall , B. Hörz , A. Nicholson , A. Shindler , J. T. Tsang , A. Walker-Loud , H. Yan

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

We consider electromagnetic finite-volume effects through order $1/L^3$ in different formulations of QED, where $L$ is the periodicity of the spatial volume. An inherent problem at this order is the appearance of structure-dependent…

High Energy Physics - Lattice · Physics 2023-10-23 Matteo Di Carlo , Maxwell T. Hansen , Nils Hermansson-Truedsson , Antonin Portelli

Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. To quote credible estimates of the systematic uncertainties in these calculations, one must…

High Energy Physics - Lattice · Physics 2018-11-06 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

We describe a first-principles method to apply lattice QCD to compute the order $\alpha_{\mathrm{EM}}$ corrections to $K\to\pi\ell\nu_\ell$ decay. This method formulates the calculation in infinite volume with the conventional…

High Energy Physics - Lattice · Physics 2024-02-15 Norman H. Christ , Xu Feng , Luchang Jin , Christopher T. Sachrajda , Tianle Wang

In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This…

High Energy Physics - Lattice · Physics 2019-07-31 J. Bijnens , J. Harrison , N. Hermansson-Truedsson , T. Janowski , A. Jüttner , A. Portelli

In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size…

High Energy Physics - Lattice · Physics 2019-10-09 Nils Hermansson-Truedsson , Johan Bijnens , James Harrison , Tadeusz Janowski , Andreas Jüttner , Antonin Portelli

The finite-volume nature of lattice QCD entails a variety of effects that must be handled in the process of performing chiral extrapolations. Since the pion cloud that surrounds hadrons becomes distorted in a finite volume, hadronic…

High Energy Physics - Lattice · Physics 2013-07-11 J. M. M. Hall , D. B. Leinweber , B. J. Owen , R. D. Young

In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g - 2) have been computed using lattice QCD ensembles corresponding to physical pion mass generated by…

High Energy Physics - Lattice · Physics 2017-08-30 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

Standard Model determinations of properties of strongly interacting systems of hadrons have become possible with the powerful method of lattice quantum chromodynamics (LQCD), a method with growing applicability and reliability. While growth…

High Energy Physics - Lattice · Physics 2019-01-01 Zohreh Davoudi

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi
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