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The magnetic polarisability of the neutral pion has been calculated using the background field method in lattice QCD. These early results do not consider the effect of the disconnected loop contractions arising from the breaking of charge…

High Energy Physics - Lattice · Physics 2022-04-21 Ryan Bignell , Waseem Kamleh , Derek Leinweber

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Walker-Loud

If any violation of Lorentz symmetry exists in the hadron sector, its ultimate origins must lie at the quark level. We continue the analysis of how the theories at these two levels are connected, using chiral perturbation theory.…

High Energy Physics - Phenomenology · Physics 2018-05-22 Rasha Kamand , Brett Altschul , Matthias R. Schindler

We present a calculation of the charged pion electric polarizability using the background field method. To extract the mass-shift induced by the electric field for the accelerated charged particle we fit the lattice QCD correlators using…

High Energy Physics - Lattice · Physics 2021-08-04 Hossein Niyazi , Andrei Alexandru , Frank X. Lee , Michael Lujan

The magnetic moment and magnetic polarisability of the neutron and proton are investigated using the uniform background-field method and lattice QCD. The results are calculated using 32^3 x 64 dynamical QCD lattices provided by the PACS-CS…

High Energy Physics - Lattice · Physics 2017-04-28 Ryan Bignell , Derek Leinweber , Waseem Kamleh , Matthias Burkardt

The magnetic polarisabilities of octet baryons are calculated close to the physical quark-mass point using the background field method in lattice QCD. This first calculation draws on the identification and elimination of exceptional…

High Energy Physics - Lattice · Physics 2024-12-13 Thomas Kabelitz , Waseem Kamleh , Derek Leinweber

The electric polarizability of mesons, in particular, that of the charged pion, is studied in the framework of a semirelativistic description of hadrons as bound states of valence quarks in terms of a Hamiltonian composed of the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Wolfgang Lucha , F. F. Schoberl

We evaluate the electric and magnetic polarizabilities of charged pions in the framework of chiral perturbation theory at next-to-leading order. This requires a two-loop evaluation of the Compton amplitude near threshold. We estimate the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Urs Buergi

The comparison of chiral perturbation theory formulae with data from lattice QCD simulations is discussed. Observables in the pion sector as well as in the baryon sector are considered, including the nucleon mass in a finite volume.

High Energy Physics - Lattice · Physics 2007-05-23 M. Göckeler

We report a first principle lattice calculation of the pion electric polarizability $\alpha_\pi$ at the physical pion mass. First, we derive the master formula, which relates the pion polarizabilities with the position space hadronic…

High Energy Physics - Lattice · Physics 2022-01-06 Xu Feng , Taku Izubuchi , Luchang Jin , Maarten Golterman

Consideration of the analytic properties of pion-induced baryon self energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

Nuclear Theory · Physics 2010-02-17 Anthony W. Thomas , Derek B. Leinweber , Kazuo Tsushima , Stewart V. Wright

Electromagnetic properties of the nucleon are explored with lattice QCD using a novel technique. Focusing on background electric fields, we show how the electric polarizability can be extracted from nucleon correlation functions. A crucial…

High Energy Physics - Lattice · Physics 2011-01-27 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion masses and decay constants are calculated in…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Christian Schmidt , Enno E. Scholz

We study the electric polarizability of a charged kaon from four-point functions in lattice QCD as an alternative to the background field method. Lattice four-point correlation functions are constructed from quark and gluon fields to be…

High Energy Physics - Lattice · Physics 2025-03-07 Shayan Nadeem , Walter Wilcox , Frank X. Lee

Theoretical as well as experimental progress has been made in the last decade in describing the properties of baryons. In this review I will mostly report on the theoretical issues. Two non-perturbative methods are privileged frameworks for…

High Energy Physics - Phenomenology · Physics 2008-11-26 Véronique Bernard

We investigate the self-energies of particles in an external magnetic field $B$. The dependence is generally of the type $\sqrt{P(B)}$ with $P$ a polynomial in $B$ and the participating masses. The non-analytic point depends on the mass and…

High Energy Physics - Phenomenology · Physics 2013-05-30 Tim Ledwig

The electric ($\alpha_\pi$) and magnetic ($\beta_\pi$) Compton polarizabilities of both the charged and the neutral pion are of fundamental interest in the low-energy sector of quantum chromodynamics (QCD). Pion polarizabilities affect the…

High Energy Physics - Phenomenology · Physics 2019-06-26 Murray Moinester , Stefan Scherer

We compute the polarisability of the nucleon to leading order in chiral perturbation theory. The contributions from kaons and baryon resonances as intermediate states are included in addition to the contribution from pions and nucleons that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Malcolm N. Butler , Martin J. Savage

Lattice simulations for the electromagnetic form factors of the nucleon yield insights into the internal structure of hadrons. The logarithmic divergence of the charge radius in the chiral limit poses an interesting challenge in achieving…

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

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

High Energy Physics - Lattice · Physics 2009-05-18 Brian C. Tiburzi