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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

Progress on the calculation of the spectrum from lattice calculations is reviewed. Particular emphasis is placed on discussing our ability to control possible systematic errors coming from finite volume, and extrapolations in quark mass and…

High Energy Physics - Lattice · Physics 2009-10-28 Steven Gottlieb

Using lattice QCD we extract $\pi\pi$ scattering amplitudes with isospin--0,1,2 in low partial-waves at two values of the light quark mass corresponding to $m_\pi \sim 283$ and $330$ MeV. We confirm expectations of weak repulsion in…

High Energy Physics - Lattice · Physics 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

We calculate the Lamb, fine and hyperfine shifts in $b\bar b$ with $n=2$, $l=0,1$. Radiative corrections as well as leading nonperturbative corrections (known to be due to the gluon condensate) are taken into account. The calculation is…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Titard , F. J. Yndurain

In this talk I review several topics concerning the determination of quark masses by means of lattice QCD simulations, with particular focus on recently introduced techniques of non-perturbative renormalisation, the determination of heavy…

High Energy Physics - Lattice · Physics 2015-05-13 Francesco Sanfilippo

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

Puzzles in the determination of the hadronic-vacuum-polarization contribution currently impede a conclusive interpretation of the precision measurement of the anomalous magnetic moment of the muon at the Fermilab experiment. One such puzzle…

We compute the electromagnetic mass difference for the $B$-, $D$- and $K$-mesons using QCD sum rules with double dispersion relations. For the $B$- and $D$-mesons we also compute the linear quark mass correction, whereas for the $K$ the…

High Energy Physics - Phenomenology · Physics 2023-07-05 Matthew Rowe , Roman Zwicky

We determine f_K for lattice QCD in the two flavor approximation with non-perturbatively improved Wilson fermions. The result is used to set the scale for dimensionful quantities in CLS/ALPHA simulations. To control its dependence on the…

High Energy Physics - Lattice · Physics 2011-12-20 Marina Marinkovic , Stefan Schaefer , Rainer Sommer , Francesco Virotta

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

Using a high statistics sample of photoproduced charmed particles from the FOCUS experiment at Fermilab (FNAL-E831), we measure the mass splittings of the charmed baryons Sigma_c^0 and Sigma_c^{++}. We find M(Sigma_c^0 - Lambda_c^+) =…

High Energy Physics - Experiment · Physics 2012-08-27 The FOCUS Collaboration

We present a lattice investigation of heavy-light mesons in the quenched approximation, using non-relativistic QCD for the heavy quark and a clover improved Wilson formulation for the light quark. A comprehensive calculation of the…

High Energy Physics - Lattice · Physics 2010-01-18 A. Ali Khan , C. T. H. Davies , S. Collins , J. Sloan , J. Shigemitsu

We are doubtlessly familiar with some edition of Jackson's tome on electrodynamics, and Schwinger's calculation of the anomalous magnetic moment of the electron in QED. From the perspective of strong interactions, however, electromagnetic…

High Energy Physics - Lattice · Physics 2011-11-03 B. C. Tiburzi

Recent data on the $D^*$ masses confirm the QCD prediction based on the \REF{\ICHJL}{Isaac Cohen and Harry J. Lipkin, \plb{84}{323}{1979}} very general assumption $\({\ICHJL}\)$ that the spin-dependence of the quark couplings to photons and…

High Energy Physics - Phenomenology · Physics 2009-10-22 Harry J. Lipkin

Corrections to the exact heavy--quark symmetry results are expected to follow the $1/m_{Q}$ mass effect of the heavy--quark. We show, by an explicit calculation, that there is something other than the mass effect that suppresses the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Patrick J. O'Donnell , Q. P. Xu , Humphrey K. K. Tung

In a lattice QCD calculation with two light dynamical Chirally Improved (CI) quarks we determine ground state and some excited state masses in all four Lambda baryon channels 1/2^\pm and 3/2^\pm. We perform an infinite volume extrapolation…

High Energy Physics - Lattice · Physics 2015-06-12 Georg P. Engel , C. B. Lang , Andreas Schäfer

Using the Coulomb gauge formulation of QED we present a lattice QCD procedure to calculate the $\pi^+\pi^+$ scattering phase shift including the effects of the Coulomb potential which appears in this formulation. The approach described here…

High Energy Physics - Lattice · Physics 2022-08-31 Norman Christ , Xu Feng , Joseph Karpie , Tuan Nguyen

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

The QCD anomaly leads to an abnormal mixing and mass pattern for the pseudoscalar mesons. Furthermore it is responsible for the quality of isospin symmetry in the meson spectrum. Similarities between the large mixing angles among the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Fritzsch

A method for computing electromagnetic properties of hadrons in lattice QCD is described and preliminary numerical results are presented. The electromagnetic field is introduced dynamically, using a noncompact formulation. Employing…

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