Pseudoscalar mesons: Light front wave functions, GPDs, and PDFs

Abstract

We develop a unified algebraic model which satisfactorily describes the internal structure of pion and kaon as well as heavy quarkonia (ηc and η b ). For each of these mesons, we compute their generalized parton distributions (GPDs), built through the overlap representation of their light-front wave function, tightly constrained by the modern and precise knowledge of their quark distribution amplitudes. From this three-dimensional knowledge of mesons, we deduce parton distribution functions (PDFs) as well as electromagnetic form factors and construct the impact parameter space GPDs. The PDFs for mesons formed with light quarks are then evolved from the hadronic scale of around 0.3 GeV to 5.2 GeV, probed in experiments. We make explicit comparisons with experimental results available and with earlier theoretical predictions.

Generalised Parton Distributions in Continuum Schwinger Methods: Progresses, Opportunities and Challenges

“…The advantage of this representation is that the momenta degrees of freedom can be algebraically manipulated, while the non-perturbative information is shifted toward the Nakanishi weight ρ. Different modelling strategies have been performed in the literature, from simple algebraic Ansätze [60,127] to parametric fit [128,129] or even direct computations in the specific case of QED N-point functions [130]. The results obtained in the forward limit are similar to those obtained through the diagrammatic computation, as shown by the dotted line on Figure 9 in the case of the simple algebraic model of [42].…”

Electromagnetic time-like form factors

“…From the experimental side, the form factors have been measured with high precision for a space-and time-like photons [1][2][3][4][5][6][7][8][9][10]. From the phenomenological and theoretical side, there exist plenty of efforts to describe the form factor on the space-like regime (i.e [11][12][13][14][15][16][17][18][19][20][21][22] which are in agreement with the experimental determinations. Both the Electron-Ion Collider and the Jefferson Laboratory (current 12 GeV and potential 22 GeV upgrade) plan to chart out a large momentum range of spacelike pion and kaon form factors.…”

Fermionic dark matter-photon quantum interaction: A mechanism for darkness

“…The infinite tower of equations is referred to as the Schwinger-Dyson equations that will be addressed in what follows. This non-perturbative approach will give us a phenomenological sense of the complete DM-photon quantum interaction structure in the electrodynamics investigated, due to the skeleton diagrams, and thus pave the way for a perturbative analysis by the study of the radiative corrections [49][50][51][52][53][54]. It is worth mentioning that this non-perturbative approach has important applications in several fields such as QCD 4 and also planar reduced QED in condensed matter context, for example [52].…”