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We extrapolate lattice calculations of electric charge radii of the spin-1/2 baryon octet to the physical regime. The extrapolation procedure incorporates chiral perturbation theory and heavy quark effective theory in the appropriate…

High Energy Physics - Lattice · Physics 2010-02-17 E. J. Hackett-Jones , D. B. Leinweber , A. W. Thomas

We analyze lattice data for octet baryon masses from the QCDSF collaboration employing manifestly covariant Baryon Chiral Perturbation Theory. It is shown that certain combinations of low-energy constants can be fixed more accurately than…

High Energy Physics - Phenomenology · Physics 2013-03-27 P. C. Bruns , L. Greil , A. Schäfer

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…

High Energy Physics - Lattice · Physics 2009-07-09 D. B. Leinweber , A. W. Thomas , K. Tsushima , S. V. Wright

A Roy equation analysis of the available $\pi\pi$ phase shift data is performed with the $I=0$ S- wave scattering length $a^0_0$ in the range predicted by the one-loop standard chiral perturbation theory. A suitable dispersive framework is…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , P. Büttiker

We perform a chiral extrapolation of lattice data on the scalar K pi form factor and the ratio of the kaon and pion decay constants within Chiral Perturbation Theory to two loops. We determine the value of the scalar form factor at zero…

High Energy Physics - Phenomenology · Physics 2010-05-28 Véronique Bernard , Emilie Passemar

Pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering are analyzed within a scheme based on the chiral Lagrangian. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes…

High Energy Physics - Phenomenology · Physics 2011-02-11 A. M. Gasparyan , M. F. M. Lutz

We present a calculation of the leading two-loop corrections to the axial-vector coupling constant $g_A$ in two covariant versions of two-flavor baryon chiral perturbation theory. Taking the low-energy constants from a combined analysis of…

High Energy Physics - Phenomenology · Physics 2025-06-23 Véronique Bernard , Jambul Gegelia , Shayan Ghosh , Ulf-G. Meißner

We formulate the expansion for the mass of the nucleon as a function of pion mass within chiral perturbation theory using a number of different ultra-violet regularisation schemes; including dimensional regularisation and various…

High Energy Physics - Lattice · Physics 2010-02-17 R. D. Young , D. B. Leinweber , A. W. Thomas

We calculate the nucleon axial form factor up to the leading one-loop order in a covariant chiral effective field theory with the $\Delta(1232)$ resonance as an explicit degree of freedom. We fit the axial form factor to the latest lattice…

High Energy Physics - Phenomenology · Physics 2018-02-08 De-Liang Yao , Luis Alvarez-Ruso , Manuel J. Vicente-Vacas

We calculate the pion-pion elastic scattering phase shifts for pion masses from the chiral limit to values of interest for lattice studies. At low energies, we use the standard Chiral Perturbation Theory expressions to one and two loops. In…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nebreda , J. R. Pelaez , G. Rios

The calculation of baryon wave functions at small inter-quark separations is an ongoing effort within the QCDSF collaboration. In this update on normalization constants and distribution amplitudes of the nucleon and its negative parity…

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in…

High Energy Physics - Lattice · Physics 2018-04-18 Johan Bijnens

This lecture comprises some recent developments concerning the description of baryons as topological solitons in effective chiral meson theories. In the first part one-loop corrections to the classical tree approximation are discussed. This…

High Energy Physics - Phenomenology · Physics 2011-04-15 Gottfried Holzwarth

In this review I discuss the role of chiral extrapolations for the determination of several phenomenologically relevant quantities, including light quark masses, meson decay constants and the axial charge of the nucleon. In particular, I…

High Energy Physics - Lattice · Physics 2012-01-24 Hartmut Wittig

We extend the standard second order effective chiral Lagrangian of pions and nucleons by considering the coupling to an external gravitational field. As an application we calculate one-loop corrections to the one-nucleon matrix element of…

High Energy Physics - Phenomenology · Physics 2020-11-04 H. Alharazin , D. Djukanovic , J. Gegelia , M. V. Polyakov

We will give a short introduction to the one-nucleon sector of chiral perturbation theory and will address the issue of a consistent power counting and renormalization. We will discuss the infrared regularization and the extended…

Nuclear Theory · Physics 2008-11-26 Stefan Scherer

We have performed a theoretical study of the axial Nucleon to Delta(1232) ($N\to\Delta$) transition form factors up to one-loop order in covariant baryon chiral perturbation theory within a formalism in which the unphysical spin-1/2…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. S. Geng , J. Martin Camalich , L. Alvarez-Ruso , M. J. Vicente Vacas

In current lattice simulations of nucleon properties, the up and down quark masses are significantly larger than their physical values, while the strange quark can be included in simulations with its physical mass. When the up and down…

High Energy Physics - Lattice · Physics 2009-11-07 Jiunn-Wei Chen , Martin J. Savage

The magnetic moments, magnetic form factors, and transition magnetic form factors of doubly charmed baryons are studied within heavy baryon chiral perturbation theory. We regulate the loop integrals using the finite-range regularization.…

High Energy Physics - Phenomenology · Physics 2025-07-11 Jiong-Jiong Liu , Zhan-Wei Liu , Xiu-Lei Ren , Yu Zhuge

I discuss the quark mass dependence of various baryon properties derived from chiral perturbation theory. Such representations can eventually be used as chiral extrapolation functions when lattice data at sufficiently small quark masses…

High Energy Physics - Lattice · Physics 2014-11-17 Ulf-G. Meißner