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Related papers: Isospin Breaking Effects on the Lattice

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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…

The leading-order electromagnetic and strong isospin-breaking corrections to the ratio of $K_{\mu 2}$ and $\pi_{\mu 2}$ decay rates are evaluated for the first time on the lattice, following a method recently proposed. The lattice results…

High Energy Physics - Lattice · Physics 2018-02-21 D. Giusti , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo , C. Tarantino

We present the status of an ongoing project aimed at the inclusion of isospin-breaking corrections arising from the non-degeneracy of the light quark masses and electromagnetic interactions in calculations of the low-lying octet and…

High Energy Physics - Lattice · Physics 2022-12-15 Alexander M. Segner , Andrew D. Hanlon , Andreas Risch , Hartmut Wittig

In the recent Muon g-2 Theory Initiative white paper update, the hadronic vacuum polarization (HVP) contribution -- which dominates the theoretical uncertainty -- is evaluated as an average of different lattice QCD calculations. Since…

High Energy Physics - Lattice · Physics 2026-03-02 Mattia Bruno , Vera Gülpers , Nils Hermansson-Truedsson , Christoph Lehner , Julian Parrino , J. Tobias Tsang

Isospin breaking effects in baryon octet (and decuplet) masses are due to a combination of up and down quark mass differences and electromagnetic effects and lead to small mass splittings. Between the Sigma and Lambda this mass splitting is…

High Energy Physics - Lattice · Physics 2015-04-22 R. Horsley , J. Najjar , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin…

High Energy Physics - Lattice · Physics 2017-10-25 P. Boyle , V. Gülpers , J. Harrison , A. Jüttner , C. Lehner , A. Portelli , C. T. Sachrajda

We report on a calculation of the effects of isospin breaking in Lattice QCD+QED. This involves using Chiral Perturbation Theory with Electromagnetic corrections to find the renormalized, non-degenerate, light quark masses. The calculations…

High Energy Physics - Lattice · Physics 2013-12-03 Shane Drury , Thomas Blum , Masashi Hayakawa , Taku Izubuchi , Chris Sachrajda , Ran Zhou

We present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED. We concentrate particularly on violations of isospin symmetry. We calculate the $\pi^+$-$\pi^0$ splitting and also look at other isospin…

High Energy Physics - Lattice · Physics 2016-05-04 R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , R. Stokes , H. Stüben , R. D. Young , J. M. Zanotti

The leading electromagnetic (e.m.) and strong isospin-breaking corrections to the $\pi^+ \to \mu^+ \nu[\gamma]$ and $K^+ \to \mu^+ \nu[\gamma]$ leptonic decay rates are evaluated for the first time on the lattice. The results are obtained…

High Energy Physics - Lattice · Physics 2019-10-25 M. Di Carlo , D. Giusti , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

I review the results of hadron spectroscopy calculations from lattice QCD for an intended audience of low energy hadronic physicists. I briefly introduce the ideas of numerical lattice QCD. The various systematic errors, such as the lattice…

High Energy Physics - Lattice · Physics 2016-11-23 Craig McNeile

We present a lattice calculation of the electromagnetic (EM) effects on the masses of light pseudoscalar mesons. The simulations employ 2+1 dynamical flavors of asqtad QCD quarks, and quenched photons. Lattice spacings vary from $\approx…

In the RC$^\star$ collaboration, we simulate lattice QCD+QED using $C-$periodic spatial boundary conditions to ensure that locality, gauge invariance, and translational invariance are preserved throughout the calculation. We present our…

The isospin symmetry breakings of q{\bar q} are investigated in the QCD sum rule method. The electromagnetic effects are evaluated following the procedure requiring that the electromagnetic effects for charged meson be gauge invariant. We…

High Energy Physics - Phenomenology · Physics 2009-10-30 Shi-lin Zhu , Zhenping Li

We investigate the electromagnetic mass splittings in the pseudoscalar meson and nucleon systems by combining 2+1 flavor domain wall fermion gauge configurations, generated by the RBC and UKQCD collaborations, and quenched, non-compact,…

High Energy Physics - Lattice · Physics 2010-01-21 Ran Zhou , Thomas Blum , Takumi Doi , Masashi Hayakawa , Taku Izubuchi , Norikazu Yamada

We present a study of the isospin-breaking (IB) corrections to pseudoscalar (PS) meson masses using the gauge configurations produced by the ETM Collaboration with $N_f=2+1+1$ dynamical quarks at three lattice spacings varying from 0.089 to…

High Energy Physics - Lattice · Physics 2018-04-18 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula , N. Tantalo , C. Tarantino

With increasing requirements for greater precision, it becomes essential to describe the effects of isospin breaking induced by both quark masses and electro-magnetic effects. In this work we perform a lattice analysis of the weak decay…

High Energy Physics - Lattice · Physics 2023-09-18 Z. R. Kordov , R. Horsley , W. Kamleh , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We propose a scheme of lattice twisted-mass fermion regularization which is particularly convenient for application to isospin breaking (IB) QCD and QED calculations, based in particular on the so called RM123 approach, in which the IB…

High Energy Physics - Lattice · Physics 2021-10-04 R. Frezzotti , G. Gagliardi , V. Lubicz , F. Sanfilippo , S. Simula

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

High Energy Physics - Lattice · Physics 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli

While electromagnetic and up-down quark mass difference effects on octet baryon masses are very small, they have important consequences. The stability of the hydrogen atom against beta decay is a prominent example. Here we include these…

High Energy Physics - Lattice · Physics 2014-01-07 Sz. Borsanyi , S. Dürr , Z. Fodor , J. Frison , C. Hoelbling , S. D. Katz , S. Krieg , Th. Kurth , L. Lellouch , Th. Lippert , A. Portelli , A. Ramos , A. Sastre , K. Szabo

Full QCD+QED simulations allow to evaluate isospin breaking corrections to hadron masses. With the openQxD code, we are able to perform these simulations employing C-periodic boundary conditions, implemented through a doubling of the…