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The asymmetry in the angular distribution of n p --> d pi^0 due to Charge Symmetry Breaking is calculated using Heavy Baryon Chiral Perturbation Theory. Recent developments in power counting have proven successful in describing total cross…

Nuclear Theory · Physics 2010-01-11 Daniel R. Bolton , Gerald A. Miller

We use the radial gauge to calculate the recently proposed ansatz for the physical electron propagator in such effective models of strongly correlated electron systems as the $QED_3$ theory of the pseudogap phase of the cuprates. The…

Condensed Matter · Physics 2011-07-19 V. P. Gusynin , D. V. Khveshchenko , M. Reenders

Sum rules for the off-shell isovector form factor pi -> gamma gamma* are given in terms of the pion form factor and the gamma pi ->pi pi experimental data. Similarly the corresponding sum rules for the isoscalar form factor are given in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

The form factor \pi^0\gamma^*\gamma^* is obtained to the next leading order of derivative expansion of the chiral anomaly and the VMD. As a test the form factor has been used to calculate the cross section of ee^+-->\pi^0\gamma. Theory…

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

We present the scattering lengths for the $\pi\pi$ processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order. We then combine this calculation with the determination of the parameters from…

High Energy Physics - Phenomenology · Physics 2011-03-22 Johan Bijnens , Pierre Dhonte , Pere Talavera

Symmetries affected by the anomaly do not survive quantization and cannot be understood classically. They are of fundamental importance and offer an opportunity of expanding the theoretical framework. We examine the theory of the anomalous…

High Energy Physics - Phenomenology · Physics 2007-05-23 Olof Strandberg

We present here an extension of our model for the pion, which we used previously to calculate its diagonal structure function, to the off-forward case. The imaginary part of the off-forward gamma^* pi -> gamma^* pi scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , P. Stassart

In the framework of heavy baryon chiral perturbation theory, we give thIn the framework of heavy baryon chiral perturbation theory, we give the chiral expansion for the $\pi N \to \pi \pi N$ threshold amplitudes $D_1$ and $D_2$ to quadratic…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , N. Kaiser , Ulf-G. Meißner

Chiral anomaly modifies the scattering processes in chiral systems which can be computed using the Maxwell-Chern-Simons theory that couples electrodynamics to the pseudoscalar field $\theta$ describing the topological charge induced be…

High Energy Physics - Phenomenology · Physics 2020-08-12 Kirill Tuchin

It is shown that the description of anomalous scaling in turbulent systems requires the simultaneous use of two normalization scales. This phenomenon stems from the existence of two independent (infinite) sets of anomalous scaling exponents…

chao-dyn · Physics 2009-10-28 Victor L'vov , Evgenii Podivilov , Itamar Procaccia

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

Analyzing the pion-mass dependence of $\pi\pi$ scattering phase shifts beyond the low-energy region requires the unitarization of the amplitudes from chiral perturbation theory. In the two-flavor theory, unitarization via the…

High Energy Physics - Phenomenology · Physics 2021-03-17 Malwin Niehus , Martin Hoferichter , Bastian Kubis , Jacobo Ruiz de Elvira

We compute the scattering amplitude for pion scattering in Wilson chiral perturbation theory for two degenerate quark flavors. We consider two different regimes where the quark mass m is of order (i) a\Lambda_QCD^2 and (ii)…

High Energy Physics - Lattice · Physics 2009-04-13 Sinya Aoki , Oliver Bar , Benedikt Biedermann

The anomalous processes, \gamma \to 3 \pi and \gamma \pi \to \pi\pi, are investigated within the Dyson-Schwinger framework using the rainbow-ladder approximation. Calculations reveal that a complete set of ladder diagrams beyond the impulse…

Nuclear Theory · Physics 2016-09-08 Stephen R. Cotanch , Pieter Maris

We add the Wess-Zumino-Witten term to the N=3 massive nonlinear sigma model and study the leading logarithms in the anomalous sector. We obtain the leading logarithms to six loops for \pi^0 --> \gamma^*\gamma^* and to five loops for…

High Energy Physics - Phenomenology · Physics 2012-03-21 Johan Bijnens , Karol Kampf , Stefan Lanz

Chiral defect fermions in the background of an external, $2n$ dimensional gauge field are considered. Assuming first a finite extra dimension, we calculate the axial anomaly in a vector-like, gauge invariant model for arbitrary $n$, and the…

High Energy Physics - Lattice · Physics 2009-10-22 Yigal Shamir

We compute the charged pion loop contribution to the muon anomalous magnetic moment $a_\mu$, taking into account the effect of the charged pion polarizability, $(\alpha_1-\beta_1)_{\pi^+}$. We evaluate this contribution using two different…

High Energy Physics - Phenomenology · Physics 2015-12-30 Kevin T. Engel , Michael J. Ramsey-Musolf

The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel

The search for quartic anomalous gauge couplings at LEP requires appropriate predictions for the radiative processes e+ e- \to \nu\bar\nu \gamma\gamma, e+ e- \to q\bar{q}\gamma\gamma and e+ e- \to 4 fermions+\gamma. Matrix elements are…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Montagna , M. Moretti , O. Nicrosini , M. Osmo , F. Piccinini

A simple method is used to extrapolate the form factor for the process gamma* gamma *--->pi^0 when two virtual photons produce a pi ^0 from the region of large spacelike photon virtualities to the experimentally accessible case when one of…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Nasrallah
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