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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

We review our recent study of the pion mass dependence of the rho and sigma resonances, generated from one-loop SU(2) Chiral Perturbation Theory (ChPT) with the Inverse Amplitude Method (IAM). In order to properly account for the Adler zero…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Ríos , A. Gómez Nicola , C. Hanhart , J. R. Peláez

The parity-conserving $a$ and parity-violating $b$ amplitudes for weak radiative hyperon decay are studied using chiral perturbation theory. The imaginary parts of $a$ and $b$ are computed using unitarity. The real part of $b$ is dominated…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins , Michael Luke , Aneesh V. Manohar , Martin J. Savage

The renormalization of the chiral np interaction with Delta-excitations in intermediate states is considered at next-to-leading order (NLO) and next-to-next-to-leading order (N2LO) for central waves. The inclusion of the Delta-excitation as…

Nuclear Theory · Physics 2009-12-31 M. Pavon Valderrama , E. Ruiz Arriola

We use power-counting arguments as an organizing principle to apply chiral perturbation theory, including an explicit $\Delta$, to the $p p \rightarrow p p \pi^0$ reaction near threshold. There are two lowest-order leading mechanisms…

Nuclear Theory · Physics 2008-11-26 T. D. Cohen , J. L. Friar , G. A. Miller , U. van Kolck

We study the axion and axion-like particle production from the $\eta\to\pi\pi a$ decay within the $SU(3)$ chiral perturbation theory up to the one-loop level. The conventional $SU(3)$ chiral low energy constants are found to be able to…

High Energy Physics - Phenomenology · Physics 2024-03-26 Jin-Bao Wang , Zhi-Hui Guo , Zhun Lu , Hai-Qing Zhou

The total cross section for the $pp \to pp \pi^0$ reaction at energies close to threshold is calculated within the frame of a chiral perturbation theory, taking into account tree and one loop diagrams up to chiral order D=2. Two-pion loop…

Nuclear Theory · Physics 2007-05-23 E. Gedalin , A. Moalem , L. Razdolskaya

The charge-symmetry-breaking amplitudes for the recently observed d d -> alpha pi0 reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and…

We obtain leading- and next-to-leading order predictions of chiral perturbation theory for several prominent moments of nucleon structure functions. These free-parameter free results turn out to be in overall agreement with the available…

High Energy Physics - Phenomenology · Physics 2014-11-11 Vadim Lensky , Jose Manuel Alarcón , Vladimir Pascalutsa

Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. The connection between calculations based on dispersion relations and on chiral perturbation theory is established…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Barry R. Holstein

We reexamine critically the chiral expansion for the baryon magnetic moments including the contributions from loops which involve intermediate octet and decuplet baryons. We find that, contrary to some claims, the nonanalytic loop…

High Energy Physics - Phenomenology · Physics 2009-10-30 Loyal Durand , Phuoc Ha

We make a thermal analysis of the light scalar susceptibilities using SU(3)-Chiral Perturbation Theory to one loop taking into account the QCD source of isospin breaking (IB), i.e corrections coming from $m_u\neq m_d$. The value of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 R. Torres Andres , A. Gomez Nicola

Complex poles of the unitarized pi-pi scattering amplitude in nuclear matter are studied. Partial restoration of chiral symmetry is modeled by the decrease of in-medium pion decay constant f*_{pi}. For large chiral restoration…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Yokokawa , T. Hatsuda , A. Hayashigaki , T. Kunihiro

Theoretical efforts to describe and explain the $\eta\to 3\pi$ decays reach far back in time. Even today, the convergence of the decay widths and some of the Dalitz plot parameters seems problematic in low energy QCD. In the framework of…

High Energy Physics - Phenomenology · Physics 2017-03-08 Marian Kolesar , Jiri Novotny

Reordering of the chiral perturbation series, proposed recently by Becher and Leutwyler in the framework of SU(2) baryonic ChPT, is applied to the SU(3) case. This results in improved convergence of the chiral expansion of static properties…

High Energy Physics - Phenomenology · Physics 2009-10-31 Martin Mojzis , Joachim Kambor

Pion electro- and photoproduction off the nucleon close to threshold is studied in covariant baryon chiral perturbation theory at O($p^3$) in the extended-on-mass-shell scheme, with the explicit inclusion of the $\Delta(1232)$ resonance.…

High Energy Physics - Phenomenology · Physics 2021-01-04 Gustavo H. Guerrero Navarro , M. J. Vicente Vacas

We use chiral perturbation theory to compute the effective nucleon propagator in an expansion about low density in the chiral limit. We neglect four-nucleon interactions and focus on pion exchange. Evaluating the nucleon self-energy on its…

Nuclear Theory · Physics 2009-11-10 E. S. Fraga , Y. Hatta , R. D. Pisarski , J. Schaffner-Bielich

We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K --> \pi l \nu_l to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard F. Lebed , Karl Schilcher

Multi-flavour (N_f>=3) Chiral Perturbation Theory (ChPT) may exhibit instabilities due to vacuum fluctuations of sea q-bar q pairs. Keeping the fluctuations small would require a very precise fine-tuning of the low-energy constants L_4 and…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Descotes-Genon , L. Girlanda , J. Stern

Using the analysis of ChPT to two loops, we perform an error analysis of the threshold and low energy parameters, based on the uncertainties for the one loop low energy parameters and the resonance saturation mechanism. Different sets of…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nieves , E. Ruiz Arriola