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We study the combined effects of a finite volume and an external magnetic field on the charged two-pion correlation function. For these purposes, we consider a dilute system of pions where the finite volume effects are introduced computing…

High Energy Physics - Phenomenology · Physics 2022-03-14 Alejandro Ayala , Santiago Bernal-Langarica , Cristian Villavicencio

We investigate the neutron's response to magnetic fields on a torus with the aid of chiral perturbation theory, and expose effects from non-vanishing holonomies. The determination of such effects necessitates non-perturbative treatment of…

High Energy Physics - Lattice · Physics 2014-04-23 Brian C. Tiburzi

Recent experimental pion polarizability data are reviewed and analyzed. Data on the radiative \pi^+ meson photoproduction on the proton at MAMI has been used to determine the difference of the electric and magnetic dipole polarizabilities…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. V. Fil'kov , V. L. Kashevarov

We investigate finite-volume effects in the hadronic vacuum polarization, with an eye toward the corresponding systematic error in the muon anomalous magnetic moment. While it is well known that leading-order chiral perturbation theory does…

High Energy Physics - Lattice · Physics 2015-10-20 Christopher Aubin , Thomas Blum , Peter Chau , Maarten Golterman , Santiago Peris , Cheng Tu

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

Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_\mu is dominantly given by two-pion states satisfying L\"uscher's finite-volume quantization condition.…

High Energy Physics - Lattice · Physics 2025-04-14 Sakura Itatani , Hidenori Fukaya , Shoji Hashimoto

We investigate threshold pion photoproduction in the framework of heavy baryon chiral perturbation theory. We give the expansion of the electric dipole amplitude $E_{0+}$ to three orders in $\mu$, the ratio of the pion to nucleon mass, and…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Bernard , N. Kaiser , Ulf-G. Meißner

In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This…

High Energy Physics - Lattice · Physics 2019-07-31 J. Bijnens , J. Harrison , N. Hermansson-Truedsson , T. Janowski , A. Jüttner , A. Portelli

We calculate the scalar semileptonic kaon decay in finite volume at the momentum transfer $t_{m} = (m_{K} - m_{\pi})^2$, using chiral perturbation theory. At first we obtain the hadronic matrix element to be calculated in finite volume. We…

High Energy Physics - Phenomenology · Physics 2015-05-20 Karim Ghorbani , Mohammad. M. Yazdanpanah , Abolfazl Mirjalili

The physics of pions within a finite volume is explored using lattice regularized chiral perturbation theory. This regularization scheme permits a straightforward computational approach to be used in place of analytical continuum…

High Energy Physics - Lattice · Physics 2009-11-10 B. Borasoy , R. Lewis

A hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parameterization of the pion electromagnetic form factor and new experimental data on the $e^+e^-$ hadrons annihilation cross…

High Energy Physics - Phenomenology · Physics 2021-12-30 V. P. Gerdt , A. Karimkhodzhaev , R. N. Faustov

Charged and neutral, pion and kaon electric polarizabilities are extracted from lattice QCD using an ensemble of anisotropic gauge configurations with dynamical clover fermions. We utilize classical background fields to access the…

High Energy Physics - Lattice · Physics 2010-04-15 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

We extract the magnetic polarizability from the quadratic response of a hadron's mass shift in progressively small static magnetic fields. The calculation is done on a 24x12x12x24 lattice at a = 0.17 fm with an improved gauge action and the…

High Energy Physics - Lattice · Physics 2014-11-17 L. Zhou , F. X. Lee , W. Wilcox , J. Christensen

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

We calculate the pion and kaon electromagnetic form factors in finite volume for a generic momentum transfer in space-like region, using SU(3) chiral perturbation theory. To this end, we first find the hadronic matrix element in a new form…

High Energy Physics - Phenomenology · Physics 2016-04-15 Karim Ghorbani

We analyze the amplitude of radiative charged pion photoproduction within the framework of heavy baryon chiral perturbation theory (HBChPT) and discuss the best experimental setup for the extraction of the charged pion polarizabilities from…

High Energy Physics - Phenomenology · Physics 2009-08-21 Chung-wen Kao , Blaine E. Norum , Kebin Wang

We calculate the decay of pionium atoms into two photons. The pion polarizability gives rise to a 10% correction to the corresponding decay width for pointlike pions. This opens the possibility to obtain the difference between the electric…

High Energy Physics - Phenomenology · Physics 2011-07-19 H. -W. Hammer , J. N. Ng

We investigate the modification of the pion self-energy at finite temperature due to its interaction with a low-density, isospin-symmetric nuclear medium embedded in a constant magnetic background. To one loop, for fixed temperature and…

Nuclear Theory · Physics 2013-12-10 Giuseppe Colucci , Eduardo S. Fraga , Armen Sedrakian

I discuss recent progress made in calculating electromagnetic corrections in the framework of the effective field theory of QCD. In the case of elastic pion-pion scattering, strong interaction predictions have been worked out to two loop…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulf-G. Meißner

We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from {the} connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u$,…