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Related papers: CHIRON: a package for ChPT numerical results at tw…

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I summarize two recent applications of chiral perturbation theory to electromagnetic reactions on deuterium: elastic electron-deuteron scattering, and Compton scattering on deuterium. Both calculations have now been carried out to three…

Nuclear Theory · Physics 2009-11-11 Daniel R. Phillips

We discuss how to formulate a staggered chiral perturbation theory. This amounts to a generalization of the Lee-Sharpe Lagrangian to include more than one flavor (i.e. multiple staggered fields), which turns out to be nontrivial. One loop…

High Energy Physics - Lattice · Physics 2016-09-01 C. Aubin , C. Bernard

After a general introduction to the structure of effective field theories, the main ingredients of chiral perturbation theory are reviewed. Applications include the light quark mass ratios and pion-pion scattering to two-loop accuracy. In…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gerhard Ecker

The process eta -> pi0 pi0 gamma gamma is discussed in Chiral Perturbation Theory (ChPT) extending two recent analyses. Special attention is devoted to one-loop corrections, eta-eta' mixing effects and vector-meson dominance of ChPT…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ll. Ametller , J. Bijnens , A. Bramon , P. Talavera

We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard

By employing the method of differential equations, we compute the various types of two-loop master integrals involved in CP-even heavy quarkonium exclusive production and decays. All the integrals presented in this paper can be casted into…

High Energy Physics - Phenomenology · Physics 2017-06-28 Long-Bin Chen , Yi Liang , Cong-Feng Qiao

Two-point functions related to the pion weak decay constant f_\pi are calculated from the generating functional of chiral perturbation theory in the mean-field approximation and the heavy-baryon limit. The aim is to demonstrate that Lorentz…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mariana Kirchbach , Andreas Wirzba

In this paper we use one-loop chiral perturbation theory in order to compare lattice computations of the K+ to pi+ pi0 decay amplitude with the experimental value. This makes it possible to investigate three systematic effects that plague…

High Energy Physics - Lattice · Physics 2016-08-24 Maarten Golterman , Ka Chun Leung

We compute the quark-mass dependence of the baryon octet and decuplet masses within the $\chi$-MS scheme at the one-loop level. The results are confronted with recent lattice QCD simulations of the MILC collaboration. A fair reproduction of…

Nuclear Theory · Physics 2011-12-30 A. Semke , M. F. M. Lutz

(New version with some expanded discussion; figures and minor typos corrected.) We have calculated the contribution proportional to the fifth power of the pion mass in the chiral expansion of the nucleon mass in two flavour HBCPT. Only one…

High Energy Physics - Phenomenology · Physics 2009-10-31 Judith A. McGovern , Michael C. Birse

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

This review addresses the practical convergence of the ChPT series in the p-regime. In the SU(2) framework there is a number of new results, and improved estimates of \bar\ell_3 and \bar\ell_4 are available. In the SU(3) framework few new…

High Energy Physics - Lattice · Physics 2013-05-27 Stephan Durr

We derive the leading one-loop contribution to the one-pion exchange and short-range two-nucleon electromagnetic current operator in the framework of chiral effective field theory. The derivation is carried out using the method of unitary…

Nuclear Theory · Physics 2013-05-29 S. Koelling , E. Epelbaum , H. Krebs , U. -G. Meißner

Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and…

Nuclear Theory · Physics 2009-10-30 N. Kaiser , R. Brockmann , W. Weise

A C++ class was written for the calculation of frequentist confidence intervals using the profile likelihood method. Seven combinations of Binomial, Gaussian, Poissonian and Binomial uncertainties are implemented. The package provides…

Data Analysis, Statistics and Probability · Physics 2010-01-21 J. Lundberg , J. Conrad , W. Rolke , A. Lopez

Recently we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

In this proceeding contribution we report on the ongoing effort to simulate Wilson-type fermions in the so called epsilon regime of chiral perturbation theory. We present results for the chiral condensate and the pseudoscalar decay constant…

High Energy Physics - Lattice · Physics 2010-11-05 K. Jansen , A. Shindler

By using the Renormalization Group Equations in Chiral Perturbation Theory, one can calculate the double chiral logs that appear at two loops in any matrix element. We calculate them in the $\pi \pi$ scattering amplitude, where they…

High Energy Physics - Phenomenology · Physics 2009-10-28 Gilberto Colangelo

I describe the use of chiral effective theory (ChiET) to compute electromagnetic reactions in two- and three-nucleon systems. I first explain how chiral perturbation theory can be extended to the few-nucleon sector. I then explain the…

Nuclear Theory · Physics 2008-11-26 Daniel R. Phillips

We reconsider our former determination of the chiral quark condensate $\langle \bar q q \rangle$ from the related QCD spectral density of the Euclidean Dirac operator, using our Renormalization Group Optimized Perturbation (RGOPT) approach.…

High Energy Physics - Phenomenology · Physics 2020-04-15 Jean-Loic Kneur , André Neveu
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