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Related papers: Baby steps beyond rainbow-ladder

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We investigate the masses of light mesons from a coupled system of Dyson-Schwinger and Bethe-Salpeter equations. The dominant non-Abelian and sub-leading Abelian contributions to the dressed quark-gluon vertex are explicitly taken into…

High Energy Physics - Phenomenology · Physics 2012-06-25 Richard Williams

We investigate masses of light mesons from a coupled system of Dyson--Schwinger (DSE) and Bethe--Salpeter equations (BSE), taking into account dominant non-Abelian, sub-leading Abelian, and dominant pion cloud contributions to the dressed…

High Energy Physics - Phenomenology · Physics 2009-12-21 Richard Williams , Christian S. Fischer

We investigate masses and decay constants of light mesons from a coupled system of Dyson--Schwinger and Bethe--Salpeter equations. We explicitly take into account dominant non-Abelian contributions to the dressed quark-gluon vertex stemming…

High Energy Physics - Phenomenology · Physics 2009-11-20 Christian S. Fischer , Richard Williams

We investigate hadronic unquenching effects in light quarks and mesons. To this end we take into account the back-coupling of the pion onto the quark propagator within the non-perturbative continuum framework of Schwinger-Dyson equations…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Richard Williams

We investigate the effect of including hadronic resonance contributions in the description of light quarks and mesons. To this end we take into account the back-coupling of the pion onto the quark propagator within the non-perturbative…

High Energy Physics - Phenomenology · Physics 2009-06-25 Richard Williams , Christian S. Fischer

Following up on earlier work, we investigate possible effects of a dressed quark-gluon vertex in heavy-light mesons. In particular, we study corrections to the popular rainbow-ladder truncation of the Dyson-Schwinger-Bethe-Salpeter equation…

High Energy Physics - Phenomenology · Physics 2015-09-02 Maria Gomez-Rocha , Thomas Hilger , Andreas Krassnigg

We introduce an extension to the ladder truncated Bethe-Salpeter equation for mesons and the rainbow truncated quark Dyson-Schwinger equations which includes quark-loop corrections to the gluon propagator. This truncation scheme obeys the…

High Energy Physics - Phenomenology · Physics 2013-05-29 C. S. Fischer , P. Watson , W. Cassing

We present first results for the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon a_{\mu} in the framework of Dyson-Schwinger and Bethe-Salpeter equations. We determine the quark loop and…

High Energy Physics - Phenomenology · Physics 2011-06-13 Christian S. Fischer , Tobias Goecke , Richard Williams

We report on recent results of a calculation of the nucleon and delta masses in a covariant bound-state approach, where to the simple rainbow-ladder gluon-exchange interaction kernel we add a pion-exchange contribution to account for pion…

High Energy Physics - Phenomenology · Physics 2015-06-18 Hèlios Sanchis-Alepuz , Stanislav D. Kubrak , Christian S. Fischer

We discuss the role of meson exchange mechanisms in $\gamma \gamma \to \gamma \gamma$ scattering. Several pseudoscalar ($\pi^0$, $\eta$, $\eta'(958)$, $\eta_c(1S)$, $\eta_c(2S)$), scalar ($f_{0}(500)$, $f_0(980)$, $a_0(980)$, $f_0(1370)$,…

High Energy Physics - Phenomenology · Physics 2017-10-11 Piotr Lebiedowicz , Antoni Szczurek

A perspective on the contemporary use of Dyson-Schwinger equations, focusing on some recent phenomenological applications: a description and unification of light-meson observables using a one-parameter model of the effective quark-quark…

Nuclear Theory · Physics 2007-05-23 M. B. Hecht , C. D. Roberts , S. M. Schmidt

We compute the spectrum of light mesons, composed by up, down, and strange quarks, using a symmetry-preserving approximation that permits the inclusion of fully-dressed quark-gluon vertices in the key dynamical equations. This method is…

High Energy Physics - Phenomenology · Physics 2026-04-09 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou

The leading-twist parton distribution functions of the pion and kaon are calculated for the first time using a rainbow-ladder truncation of QCD's Dyson-Schwinger equations (DSEs) that self-consistently sums all planar diagrams. The…

Nuclear Theory · Physics 2020-02-05 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

We develop the formalism to provide an improved estimate for the hadronic light-by-light correction to the muon's anomalous magnetic moment a_{\mu}, by considering single meson contributions beyond the leading pseudo-scalar mesons. We…

High Energy Physics - Phenomenology · Physics 2015-06-18 Vladyslav Pauk , Marc Vanderhaeghen

We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The…

Nuclear Theory · Physics 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy

The effect of quark-gluon vertex dressing on the ground state masses of the u/d-quark pseudoscalar, vector and axialvector mesons is considered with the Dyson-Schwinger equations. This extends the ladder-rainbow Bethe-Salpeter kernel to…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Watson , W. Cassing , P. C. Tandy

We study baryon spectroscopy including the effects of pseudoscalar meson exchange and one gluon exchange potentials between quarks, governed by $\alpha_s$. The non-perturbative, hyperspherical method calculations show that one can obtain a…

Nuclear Theory · Physics 2008-11-26 Z. Dziembowski , M. Fabre de la Ripelle , Gerald A. Miller

Dyson-Schwinger equations provide a prominent approach to physics of strong interactions. To reproduce the hadronic phenomenology well, the Dyson-Schwinger approach in the rainbow-ladder approximation must employ an effective interaction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dalibor Kekez , Dubravko Klabucar

We extend the range of application of the relativistic Dyson-Schwinger/Bethe-Salpeter approach from previously discussed mesons with total angular momentum $J \le 3$ to the ones with $J=4,5$. On a technical level, the new element is the…

High Energy Physics - Phenomenology · Physics 2025-11-03 Stephan Hagel , Christian S. Fischer , Markus Q. Huber , Jonathan Y. Yigzaw

This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon $g-2$. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD…

High Energy Physics - Phenomenology · Physics 2016-10-12 Johan Bijnens , Johan Relefors
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