arXiv subjects

J. Bijnens

Publications and source records attributed to J. Bijnens.

At least 37 records · Page 2Linked to original sources

arXiv1999

Renormalization of chiral perturbation theory to order p^6

The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral SU(n), involving one- and two-loop diagrams. The renormalization group equations for the renormalized low-energy constants of O(p^6) are derived. We compare our results with previous two-loop calculations in chiral perturbation theory.

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arXiv1998

Double Chiral Logs

We determine the full structure of the leading (double-pole) divergences of O(p^6) in the meson sector of chiral perturbation theory. The field theoretic basis for this calculation is described. We then use an extension of this result to determine the p^6 contributions containing double chiral logarithms (L^2), single logarithms times p^4 constants (L x L_i^r) and products of two p^4 constants (L_i^r x L_j^r) for F_π, F_K/F_π, K_{l3} and K_{e4} form factors. Numerical results are presented for these quantities.

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arXiv1998

The Vector and Scalar Form Factors of the Pion to Two Loops

We calculate the vector and scalar form factors of the pion to two loops in Chiral Perturbation Theory. We estimate the unknown O(p^6) constants using resonance exchange. We make a careful comparison to the available data and determine two O(p^4) constants rather precisely, and two O(p^6) constants less precisely. We also use Chiral Perturbation Theory to two loops to extract in a model--independent manner the charge radius of the pion from the available data, and obtain \rpiV=0.437\pm 0.016 fm^2.

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arXiv1997

Report of the Working Group on Goldstone Boson Production and Decay

This is the summary of the working group on Goldstone Boson Production and Decay of the Chiral Dynamics Workshop in Mainz, September 1-5, 1997. For the production aspects we discuss $π^0$ and $η$ production in nucleon-nucleon collisions and the behaviour of hadrons in various sum rules. For the decays we present a discussion on various $K$, $η$ and $π$ decay channels. Other aspects discussed are a new treatment of meson-meson scattering, the light-by-light contribution to the muon anomalous magnetic moment and progress in various aspects of the $p^6$ generating functional in the mesonic sector.

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arXiv1997

Vector Meson Masses in Chiral Perturbation Theory

We discuss the vector meson masses within the context of Chiral Perturbation Theory performing an expansion in terms of the momenta, quark masses and 1/Nc. We extend the previous analysis to include isospin breaking effects and also include up to order $p^4$. We discuss vector meson chiral perturbation theory in some detail and present a derivation from a relativistic lagrangian. The unknown coefficients are estimated in various ways. We also discuss the relevance of electromagnetic corrections and the implications of the present calculation for the determination of quark masses.

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arXiv1997

Matching the Heavy Vector Meson Theory

We show how to obtain a ``heavy'' meson effective lagrangian for the case where the number of heavy particles is not conserved. We apply the method in a simple example at tree level and perform then the reduction for the case of vector mesons in Chiral Perturbation Theory in a manifestly chiral invariant fashion. Some examples showing that ``heavy'' meson effective theory also works at the one-loop level are included.

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arXiv1997

Pion-pion scattering at low energy

We present technical details of the evaluation of the elastic pi-pi scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two-loop order and on the evaluation of the relevant Feynman diagrams that can all be expressed in terms of elementary functions. For the sake of clarity, we discuss these matters both in the N-component $ϕ^4$ theory (in its symmetric phase) and in chiral perturbation theory. Estimates for the relevant low-energy constants of $O(p^6)$ are presented. Threshold parameters and phase shifts are then calculated for two sets of $O(p^4)$ coupling constants and compared with experiment. We comment on the extraction of threshold parameters from phase shift data.

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arXiv1997

Chiral Perturbation Theory and Threshold Corrections

I give a short overview of Chiral Perturbation Theory, its underlying assumptions and underpinnings. A few examples are included.

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arXiv1997

Chiral-loop and vector-meson contributions to eta -> pi pi gamma gamma decays

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 counter-terms. The less interesting eta -> pi^+ pi^- gamma gamma transition is briefly discussed too.

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arXiv1997

$π\to lνγ$ Form Factors at Two-loop

Within Chiral Perturbation Theory (CHPT) we compute the form factors A, V and $γ= A/V$ in the $π\to νl γ$ decay to $O(p^6)$. A and $γ$ obtain corrections of order 25%.

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arXiv1996

Electromagnetic Contributions to Vector Meson Masses and Mixings

We use the 1/N_c method to estimate electromagnetic contributions to vector meson masses and mixings. We identify several new sources of rho-omega mixing coming from short-distance effects. We comment on the extraction of quark masses from the vector meson masses. We also present a simple group theoretical discussion of the electromagnetic mass differences.

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arXiv1996

Chiral Perturbation Theory for DA$Φ$NE Physics

This talk is an overview of Chiral Perturbation Theory for Kaon physics as far as not covered by other speakers. It includes a short introduction to the strengths and weaknesses of Chiral Perturbation Theory and its applications to semileptonic Kaon decays and $K\toππ(π)$.

hep-ph↗

arXiv1996

The Standard Model at Low Energies

These are short proceedings of the workshop on ``The Standard Model at Low Energies'' held at ECT* in Trento, Italy, from April 29 to May 10, 1996. The workshop concentrated on Chiral Perturbation Theory in its various settings. Included are a one page contribution with references per speaker and a listing of some review papers of relevance to the field.

hep-ph↗

arXiv1996

$γγ\to πππ$ to One Loop in Chiral Perturbation Theory

The $γγ\to π^0 π^0 π^0$ and $γγ\to π^+ π^- π^0$ amplitudes are discussed in the general context of Chiral Perturbation Theory (ChPT) to $O(p^6)$. Chiral loops are found to play a major role. This makes these processes a good test of ChPT, mainly in its anomalous sector. We correct earlier numerical results at tree level and determine the one-loop results as well.

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arXiv1995

Elastic $ππ$ scattering to two loops

We evaluate analytically the elastic $ππ$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference $δ_0^0-δ_1^1$.

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arXiv1994

Semileptonic Kaon Decays

We present the matrix elements for the semileptonic kaon decays $K_{l2γ}$ , $K_{l2l^+l^-}$, $K_{l2l'^+l'^-}$,$K_{l3}$, $K_{l3γ}$ and $K_{l4}$ at next-to-leading order, and $K_{e5}$ at leading order in Chiral Perturbation Theory and compare the predictions with experimental data. For $K_{l4}$ decays we estimate yet higher orders in order to reduce theoretical uncertainties in the comparison with the data. Monte Carlo event generators are used to calculate the corresponding rates at DA$Φ$NE. We discuss the possibilities to improve our knowledge of the low-energy structure of the Standard Model at this and similar machines.

hep-ph↗

arXiv1994

Chiral Perturbation Theory

An introduction to Chiral Perturbation Theory is given including a discussion of power counting, the Wess-Zumino term, the values of the coupling constants and the inclusion of the effects of other resonances.

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arXiv1994

2 and 3-point functions in the ENJL-model

We discuss the extended Nambu-Jona-Lasinio model as a low energy expansion, all two-point functions and an example of a three-point function to all orders in momenta and quark masses. The model is treated at leading level in $1/N_c$ but otherwise exact. Some comments about the QCD flavour anomaly and Vector Meson Dominance in this class of models is made. Uses epsf.sty and rotate.sty. One postscript figure included at the end.

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