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A recent lattice QCD (LQCD) calculation of $\Sigma$-$\Lambda$ mixing by the QCDSF-UKQCD Collaboration [Phys. Rev. D 91, 074512 (2015)] finds a mixing angle about half of that found from the Dalitz-von Hippel (DvH) flavor SU(3) mass formula…

Nuclear Theory · Physics 2015-07-21 Avraham Gal

We calculate the on-shell $\Sigma^0$-$\Lambda$ mixing parameter $\theta$ with the method of QCD sum rule. Our result is $\theta (m^2_{\Sigma^0}) =(-)(0.5\pm 0.1)$MeV. The electromagnetic interaction is not included.

High Energy Physics - Phenomenology · Physics 2009-10-31 Shi-Lin Zhu , W. -Y. P. Hwang , Ze-sen Yang

The $\Sigma$--$\Lambda$ mixing angle is calculated in framework of the QCD sum rules. We find that our prediction for the mixing angle is $(1.00\pm 0.15)^0$ which is in good agreement with the quark model prediction, and approximately two…

High Energy Physics - Phenomenology · Physics 2016-09-21 T. M. Aliev , T. Barakat , M. Savcı

In this Reply, we respond to the above Comment. Our computation [Phys. Rev. D 91 (2015) 074512] only took into account pure QCD effects, arising from quark mass differences, so it is not surprising that there are discrepancies in isospin…

High Energy Physics - Lattice · Physics 2015-07-29 R. Horsley , J. Najjar , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

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 analyze the mixing between $\Sigma^0$ and $\Lambda^0$ based on the baryon masses. We distinguish the contributions from QCD and QED in the baryon mass splittings. We find that the mixing angle between $\Sigma^0$ and $\Lambda^0$ is…

High Energy Physics - Phenomenology · Physics 2020-03-18 C. Q. Geng , Chia-Wei Liu , Tien-Hsueh Tsai

Lattice QCD simulations are now reaching a precision where isospin breaking effects become important. Previously, we have developed a program to systematically investigate the pattern of flavor symmetry beaking within QCD and successfully…

High Energy Physics - Lattice · Physics 2016-10-12 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

A recent lattice calculation of the QCD running coupling is presented. The coupling is extracted from the force between two static quarks in the framework of the valence quark approximation. A value of the Lambda-parameter for zero quark…

High Energy Physics - Lattice · Physics 2009-09-25 Gunnar S. Bali

Isospin symmetry is explicitly broken in the Standard Model by the non-zero differences of mass and electric charge between the up and down quarks. Both of these corrections are expected to have a comparable size of the order of one percent…

High Energy Physics - Lattice · Physics 2013-09-11 Antonin Portelli

Lattice QCD simulations are now reaching a precision where electromagnetic corrections from QED become important. In investigating the effects of SU(3) breaking due to quark mass differences within QCD, a group-theoretical analysis of the…

High Energy Physics - Lattice · Physics 2014-06-19 R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

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…

High Energy Physics - Lattice · Physics 2013-11-13 Nazario Tantalo

Isospin is an almost exact symmetry of strong interactions and the corrections to the isosymmetric limit are, in general, at the percent level. For several hadronic quantities relevant for flavour physics phenomenology, such as pseudoscalar…

High Energy Physics - Lattice · Physics 2019-09-10 D. Giusti

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…

High Energy Physics - Lattice · Physics 2015-05-27 Antonin Portelli

SU2 isospin breaking effects in baryon octet (and decuplet) masses are due to a combination of up and down quark mass differences and electromagnetic effects. These mass differences are small. Between the Sigma and Lambda the mass splitting…

High Energy Physics - Lattice · Physics 2014-12-03 R. Horsley , J. Najjar , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

As a direct source of information on chiral symmetry breaking within QCD, the sigma commutator is of considerable importance. With recent advances in the calculation of hadron masses within full QCD it is of interest to see whether the…

High Energy Physics - Lattice · Physics 2010-02-17 D. B. Leinweber , A. W. Thomas , S. V. Wright

We simulate QED in a strong constant homogeneous external magnetic field on a euclidean space-time lattice using the Rational Hybrid Monte Carlo method, developed for simulating lattice QCD. Our primary goal is to measure the chiral…

High Energy Physics - Lattice · Physics 2023-11-08 J. B. Kogut , D. K. Sinclair

We present a method to evaluate on the lattice the leading isospin breaking effects due to both the small mass difference between the up and down quarks and the QED interaction. Our proposal is applicable in principle to any QCD+QED gauge…

High Energy Physics - Lattice · Physics 2013-06-12 G. M. de Divitiis , R. Frezzotti , V. Lubicz , G. Martinelli , R. Petronzio , G. C. Rossi , F. Sanfilippo , S. Simula , N. Tantalo

We present a lattice analysis of the light pseudoscalar mesons with consideration for the mixing between the flavour-neutral states $\pi^0$, $\eta$ and $\eta^\prime$. We extract the masses and flavour compositions of the pseudoscalar meson…

High Energy Physics - Lattice · Physics 2022-01-12 Z. R. Kordov , R. Horsley , W. Kamleh , Z. Koumi , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We explore the QED corrections to the $\Xi_c-\Xi_c^{\prime}$ mixing within the framework of light-front quark model (LFQM) in the three-quark picture. After explicitly investigating the relation between the $\Xi_c-\Xi_c^{\prime}$ mixing and…

High Energy Physics - Phenomenology · Physics 2023-09-29 Zhi-Fu Deng , Yu-Ji Shi , Wei Wang , Jun Zeng

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…

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