2020
DOI: 10.1088/1361-6471/ab6947
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Exclusive production of pions and the pion distribution amplitude

Abstract: Considering, as a limit case, an approximately flat pion distribution amplitude, which is determined from the hardest, in momentum space, solution of the Bethe-Salpeter equation for the pion wave function, we compute the pion transition form factor Fπγγ * (Q 2 ) and the pion form factor Fπ(Q 2 ), taking into account the LO as well as NLO form of the hard coefficient function entering the leading-twist factorization formula. We also compute the exclusive photoproduction of pions pairs at high energies, γγ → π +… Show more

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Cited by 4 publications
(3 citation statements)
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References 102 publications
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“…However, these processes are potentially divergent at low transferred momenta, and for this reason they must be regularized by means of some cutoff procedure. In a nonperturbative QCD context, one natural regulator was introduced by Cornwall some time ago [33], and since then has become an important feature in eikonalized models [34][35][36][37][38]. This regularization process is based on the increasing evidence that the gluon may develop a momentum-dependent mass, which introduces a natural scale able to separate the perturbative from the nonperturbative QCD region.…”
Section: Introductionmentioning
confidence: 99%
“…However, these processes are potentially divergent at low transferred momenta, and for this reason they must be regularized by means of some cutoff procedure. In a nonperturbative QCD context, one natural regulator was introduced by Cornwall some time ago [33], and since then has become an important feature in eikonalized models [34][35][36][37][38]. This regularization process is based on the increasing evidence that the gluon may develop a momentum-dependent mass, which introduces a natural scale able to separate the perturbative from the nonperturbative QCD region.…”
Section: Introductionmentioning
confidence: 99%
“…Similar to the proton DAs introduced in the previous sections, the pion DA can also be expressed as the series in the the eigenfunctions of the leading order evolution equation (e.g. [95]):…”
Section: A Pionmentioning
confidence: 99%
“…Here, we will use the value m G = 400 MeV that is consistent with the usual values in Refs. [43][44][45]. Moreover, the gluon PDF probed in the low scale µ 2 = m 2 G = 0.16 GeV 2 will be given by a prediction from the parton saturation physics,…”
Section: A Asymptotic Modelmentioning
confidence: 99%