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We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

In the chiral limit of QCD, the pion decay constant F can be extracted from lattice gauge theory by means of a coupling to isospin chemical potential. Here we compute the leading correction due to finite volume in the epsilon-expansion of…

High Energy Physics - Lattice · Physics 2008-11-26 Poul H. Damgaard , Thomas DeGrand , Hidenori Fukaya

We consider the impact of isospin violation on the analysis of K-> pi pi decays. We scrutinize, in particular, the phenomenological role played by the additional weak amplitude, of |Delta I|=5/2 in character, incurred by the presence of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Gardner , G. Valencia

Lecture Notes, Summer School on Masses of Fundamental Particles, Cargese, 1996. In the first part, some qualitative aspects the mass pattern are discussed, concerning the breaking of isospin and eightfold way symmetries. The second part…

High Energy Physics - Phenomenology · Physics 2009-02-16 H. Leutwyler

By far the biggest contribution to hadronic vacuum polarization (HVP) arises from the two-pion channel. Its quark-mass dependence can be evaluated by combining dispersion relations with chiral perturbation theory, providing guidance on the…

High Energy Physics - Phenomenology · Physics 2022-10-24 Martin Hoferichter , Gilberto Colangelo , Bai-Long Hoid , Bastian Kubis , Jacobo Ruiz de Elvira , Dominik Stamen , Peter Stoffer

The isospin-breaking decay eta {\to} 3pi is an ideal tool to extract information on light quark mass ratios from experiment. For a precise determination, however, a detailed description of the Dalitz plot distribution is necessary. In that…

High Energy Physics - Phenomenology · Physics 2011-02-17 Sebastian P. Schneider , Bastian Kubis , Christoph Ditsche

In-medium chiral perturbation theory is used to calculate the density dependence of the quark condensate $<\bar qq>$. The corrections beyond the linear density approximation are obtained by differentiating the interaction contributions to…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , P. de Homont , W. Weise

We investigate the dispersive contribution by radiative processes such as (pi- proton to neutron gamma) and (pi- proton to Delta gamma) to the pion-nucleon scattering lengths of charged pions in the heavy baryon limit. They give a large…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. E. O. Ericson , A. N. Ivanov

A recent chiral perturbation theory calculation of the in-medium quark condensate $<\bar q q>$ is extended to the isospin-asymmetric case of pure neutron matter. In contrast to the behavior in isospin-symmetric nuclear matter we find only…

Nuclear Theory · Physics 2009-01-16 N. Kaiser , W. Weise

We examine the thermalization of an ensemble of the octet of pseudoscalar mesons, in the isospin symmetric limit, whose interactions are constrained through chiral symmetry, unitarity, and measurements. The reaction amplitudes generate all…

High Energy Physics - Phenomenology · Physics 2021-03-31 Sourendu Gupta , Jajati K. Nayak , Sushant K. Singh

The proton to $\Delta^+$ resonance transitional gravitational form factors are calculated to leading one-loop order using chiral perturbation theory in our recent work [1]. We take into account the leading electromagnetic and strong…

High Energy Physics - Phenomenology · Physics 2025-03-31 Bao-Dong Sun

We present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED. We concentrate particularly on violations of isospin symmetry. We calculate the $\pi^+$-$\pi^0$ splitting and also look at other isospin…

High Energy Physics - Lattice · Physics 2016-05-04 R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , R. Stokes , H. Stüben , R. D. Young , J. M. Zanotti

We calculate the leading isospin-violating and electromagnetic corrections for the decay tau --> pi^0 pi nu_tau at low energies. The corrections are small but relevant for the inclusion of tau decay data in the determination of hadronic…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Cirigliano , G. Ecker , H. Neufeld

We discuss the size of isospin violating effects of both electromagnetic (e \neq 0) and strong (m_u \neq m_d) origin in P_{\ell 2 (\gamma)} decays. Our results are relevant for the extraction of |V_{us}/V_{ud}| from the measured ratio of…

High Energy Physics - Phenomenology · Physics 2011-05-18 Vincenzo Cirigliano , Helmut Neufeld

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

Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the $\beta$-decay of a neutron, including possible in-medium and isospin…

Nuclear Theory · Physics 2011-02-16 P. A. M. Guichon , A. W. Thomas , K. Saito

We study possible so far unaccounted isospin breaking effects in the relation between the pion form factor as determined in e^+e^- experiments and the corresponding quantity obtained after accounting for known isospin breaking effects by an…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephane Ghozzi , Fred Jegerlehner

I consider some selected topics in chiral perturbation theory (CHPT) as probed at colliders such as DA$\Phi$NE. Emphasis is put on processes involving pions in the isospin zero S-wave which require multi-loop calculations. These include the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Ulf-G. Meißner

We predict differential decay distributions for phi->rho gamma gamma and phi -> omega gamma gamma using chiral perturbation theory. We also consider the isospin violating decay phi -> omega pi^0. Experimental information on these decays can…

High Energy Physics - Phenomenology · Physics 2009-10-28 Adam K. Leibovich , Aneesh V. Manohar , Mark B. Wise

Traditionally isospin violation (charge symmetry breaking and charge dependence) has been modeled by the exchange of mesons between two nucleons. Sources of isospin violation in these models include meson mass differences, meson mixing (of…

Nuclear Theory · Physics 2007-05-23 S. A. Coon