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A brief introduction to chiral perturbation theory, the effective field theory of quantum chromodynamics at low energies, is given.

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Borasoy

Chiral effective field theory (chiEFT) provides a systematic approach to describe low-energy nuclear forces. Moreover, chiEFT is able to provide well-founded estimates of statistical and systematic uncertainties -- although this unique…

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In…

Nuclear Theory · Physics 2015-06-10 A. Ekström , B. D. Carlsson , K. A. Wendt , C. Forssén , M. Hjorth-Jensen , R. Machleidt , S. M. Wild

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

Quantum loops in the Resonance Chiral Theory are needed to improve the implementation of non-perturbative QCD. Furthermore, the one-loop computations can predict chiral low-energy couplings at next-to-leading order, a very appealing task.…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Rosell

In the first part of these lectures, I consider chiral perturbation theory in the presence of matter fields. It allows to systematically work out the consequences of the broken chiral symmetry of QCD. As examples, threshold pion photo- and…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ulf-G. Meißner

The loop expansion is applied to a chiral effective hadronic lagrangian; with the techniques of Infrared Regularization, it is possible to separate out the short-range contributions and to write them as local products of fields that are…

Nuclear Theory · Physics 2008-11-26 Jeff McIntire , Ying Hu , Brian D. Serot

Chiral symmetry and its spontaneous breaking play an important role both in the light hadron and heavy hadron systems. The chiral perturbation theory ($\chi$PT) is the low energy effective field theory of the QCD. In this work, we shall…

High Energy Physics - Phenomenology · Physics 2023-05-09 Lu Meng , Bo Wang , Guang-Juan Wang , Shi-Lin Zhu

We evaluate the coefficients of the effective chiral Lagrangian to $O(p^4)$ in the strong coupling, large-N expansion. In this limit we explicitly perform the functional integral over fundamental degrees of freedom and obtain the effective…

High Energy Physics - Lattice · Physics 2009-10-22 Stanley Myint , Claudio Rebbi

Using the example of the elastic $\pi N$-amplitude, we discuss the low energy expansion of QCD amplitudes in the sector with baryon number one. We show that the chiral expansion of these amplitudes breaks down in certain regions of phase…

High Energy Physics - Phenomenology · Physics 2017-08-23 T. Becher

We present the results of a search for relations between observables that are independent of the Chiral Perturbation Theory (ChPT) Next-to-Next-to-Leading Order (NNLO) Low-Energy Constants (LECs). We have found some relations between…

High Energy Physics - Phenomenology · Physics 2014-11-20 Johan Bijnens , Ilaria Jemos

We present results of computing the p6 order low energy constants in the normal part of chiral Lagrangian both for two and three flavor pseudo-scalar mesons. This is a generalization of our previous work on calculating the p4 order…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shao-Zhou Jiang , Ying Zhang , Chuan Li , Qing Wang

In a recent study [M.C.M. Rentmeester et al., Phys. Rev. C 67, 044001 (2003)], the Nijmegen group reports on the determination of the chiral low-energy constants (LEC), c_3 and c_4, involved in the 2-pi-exchange part of the NN amplitude at…

Nuclear Theory · Physics 2007-05-23 D. R. Entem , R. Machleidt

At order ${\mathcal O}(\alpha G_{\mathrm F})$, the amplitudes for the decays $K\to\pi \ell^+\ell^-$ involve a form factor given by the matrix element of the time-ordered product of the electromagnetic current with the four-quark operators…

High Energy Physics - Phenomenology · Physics 2019-09-20 Giancarlo D'Ambrosio , David Greynat , Marc Knecht

We discuss the potential of Ginsparg-Wilson fermion simulations in the epsilon-regime of chiral perturbation theory, regarding the determination of the leading low energy constants of the effective chiral Lagrangian. It turns out to be very…

High Energy Physics - Lattice · Physics 2009-11-10 K. -I. Nagai , W. Bietenholz , T. Chiarappa , K. Jansen , S. Shcheredin

Chiral perturbation theory is a powerful method to investigate the hadron properties. We apply the non-local chiral effective Lagrangian to study nucleon magnetic form factors. The octet and decuplet intermediate states are included in the…

High Energy Physics - Phenomenology · Physics 2015-06-22 P. Wang

Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We…

High Energy Physics - Lattice · Physics 2010-04-05 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

The main elements and methods of chiral perturbation theory, the effective field theory of the Standard Model below the scale of spontaneous chiral symmetry breaking, are summarized. Applications to the interactions of mesons and baryons at…

High Energy Physics - Phenomenology · Physics 2010-12-02 Gerhard Ecker

We construct the effective Lagrangian describing the low energy excitations for Quantum Chromodynamics with two flavors at high density. The non-linear realization framework is employed to properly construct the low energy effective theory.…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Casalbuoni , Z. Duan , F. Sannino

Based on an effective chiral theory of pseudoscalar, vector, and axial-vector mesons, the coefficients of the chiral perturbation theory are predicted. There is no new parameter in these predictions.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bing An Li