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We present an analysis of the baryon-octet and -decuplet masses using covariant SU(3)-flavor chiral perturbation theory up to next-to-leading order. Besides the description of the physical masses we address the problem of the lattice QCD…

High Energy Physics - Lattice · Physics 2010-11-22 J. Martin-Camalich , L. S. Geng , M. J. Vicente Vacas

Strong isospin breaking in the spectrum of the nucleons and deltas can be studied in lattice QCD with the help of chiral perturbation theory. At leading order in the chiral expansion, the mass splittings between the proton and neutron and…

High Energy Physics - Lattice · Physics 2015-06-25 Brian C. Tiburzi , Andre Walker-Loud

We analyse the baryon mass spectrum in a framework which combines the 1/Nc expansion with chiral perturbation theory. Meson loop contributions involving the full SU(3) octet of pseudoscalar Goldstone bosons are evaluated, and the influence…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yongseok Oh , Wolfram Weise

We report a new analysis of the isospin splittings within the decuplet baryon spectrum. Our numerical results are based upon five ensembles of dynamical QCD+QED lattices. The analysis is carried out within a flavour-breaking expansion which…

High Energy Physics - Lattice · Physics 2019-09-05 R. Horsley , Z. Koumi , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , R. D. Young , J. M. Zanotti

We present a new method to evaluate with high precision isospin breaking effects due to the small mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can…

The $SU(3)$ and hyperfine mass splittings of mesons containing a single heavy quark are computed to one-loop order in chiral perturbation theory with heavy quark spin symmetry. Electromagnetic contributions of order $\alpha_em$ are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins

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

We revisit the mass splittings of SU(3) baryons, taking into account the second-order effects of isospin and SU(3) flavor symmetry breakings within the framework of a chiral soliton model. The masses of the baryon decuplet turn out to be…

High Energy Physics - Phenomenology · Physics 2015-05-27 Ghil-Seok Yang , Hyun-Chul Kim

We explore the electromagnetic contribution to the charge symmetry breaking in the octet baryon masses using a subtracted dispersion relation based on the Cottingham formula. For the proton-neutron mass splitting we report a minor revision…

Nuclear Theory · Physics 2014-12-31 F. B. Erben , P. E. Shanahan , A. W. Thomas , R. D. Young

We consider flavor breaking in the the octet and decuplet baryon masses at second order in large-$N$ chiral perturbation theory, where $N$ is the number of QCD colors. We assume that $1/N \sim 1/N_F \sim m_s / \Lambda \gg m_{u,d}/\Lambda,…

High Energy Physics - Phenomenology · Physics 2014-11-17 Paulo F. Bedaque , Markus A. Luty

We determine the axial, scalar and tensor isovector charges of the nucleon, sigma and cascade baryons as well as the difference between the up and down quark masses, $m_u-m_d$. We employ gauge ensembles with $N_f=2+1$ non-perturbatively…

High Energy Physics - Lattice · Physics 2023-09-01 Gunnar S. Bali , Sara Collins , Simon Heybrock , Marius Löffler , Rudolf Rödl , Wolfgang Söldner , Simon Weishäupl

We use a four-dimensional lattice calculation of the full-QCD (quantum chromodynamics, the non-abliean gauge theory of the strong interactions of quarks and gluons) path integrals needed to determine the masses of the charmed and bottom…

High Energy Physics - Lattice · Physics 2011-01-28 Huey-Wen Lin , Saul D. Cohen , Liuming Liu , Nilmani Mathur , Kostas Orginos , Andre Walker-Loud

A method in which electromagnetic properties of hadrons are studied by direct simulation of dynamical photon effects is applied to the extraction of the isomultiplet structure of the octet baryons. Using 187 configurations at $\beta=5.7$…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker

We investigate the quark mass dependence of baryon masses in 2+1 flavor lattice QCD using SU(3) heavy baryon chiral perturbation theory up to one-loop order. The baryon mass data used for the analyses are obtained for the degenerate up-down…

High Energy Physics - Lattice · Physics 2009-11-06 K. -I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshie

Three-flavor lattice QCD simulations and two-loop perturbation theory are used to make the most precise determination to date of the strange-, up-, and down-quark masses, $m_s$, $m_u$, and $m_d$, respectively. Perturbative matching is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Quentin Mason , Howard D. Trottier , Ron Horgan , Christine T. H. Davies , G. Peter Lepage

We report an analysis of the octet baryon masses using the covariant baryon chiral perturbation theory up to next-to-next-to-next-to-leading order with and without the virtual decuplet contributions. Particular attention is paid to the…

Nuclear Theory · Physics 2017-08-23 Xiu-Lei Ren , Li-Sheng Geng , Jie Meng

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

An important tool for the analysis of results of numerical simulations of lattice QCD is chiral perturbation theory. In Wilson chiral perturbation theory the effects of the finite lattice spacing $a$ are taken into account. In recent years…

High Energy Physics - Lattice · Physics 2016-05-31 Sebastian Engelnkemper , Gernot Münster

We investigate the quark mass dependence of the nucleon mass M_N. An interpolation of this observable, between a selected set of fully dynamical two-flavor lattice QCD data and its physical value, is studied using relativistic baryon chiral…

High Energy Physics - Lattice · Physics 2009-11-10 M. Procura , T. R. Hemmert , W. Weise

We give an update on an ongoing project in which we calculate the masses of octet and decuplet baryons including isospin-breaking effects. To this end, we employ single- and two-state-fits to effective masses up to leading order in the…

High Energy Physics - Lattice · Physics 2023-12-15 Alexander M. Segner , Andreas Risch , Hartmut Wittig