The annihilation of virtual photons into pseudoscalar mesons

Diehl, Markus; Kroll, P.; Vogt, Carsten

doi:10.1007/s100520100830

Cited by 54 publications

(136 citation statements)

References 34 publications

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“…This coefficient is to be regarded as an effective one. NLO corrections may allow one to fix a second coefficient [37]. The situation improves for |ω| < 1 as will be discussed in Sect.…”

Section: The Lo Perturbative Calculationmentioning

confidence: 97%

A study of the $$\gamma ^*$$ γ ∗ – $$f_{0}(980)$$ f 0 ( 980 ) transition form factors

Kroll

2017

Eur. Phys. J. C

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The γ * -f 0 (980) transition form factors are calculated within the QCD factorization framework. The f 0 -meson is assumed to be mainly generated through its ss Fock component. The corresponding spin wave function of the f 0 (980) meson is constructed and, combined with a model light-cone wave function for this Fock component, used in the calculation of the form factors. In the real-photon limit the results for the transverse form factor are compared to the large momentum-transfer data measured by the BELLE collaboration recently. It turns out that, for the momentum-transfer range explored by BELLE, the collinear approximation does not suffice, power corrections to it, modeled as quark transverse moment effects, seem to be needed. Mixing of the f 0 with the σ (500) is also briefly discussed.

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“…This coefficient is to be regarded as an effective one. NLO corrections may allow one to fix a second coefficient [37]. The situation improves for |ω| < 1 as will be discussed in Sect.…”

Section: The Lo Perturbative Calculationmentioning

confidence: 97%

A study of the $$\gamma ^*$$ γ ∗ – $$f_{0}(980)$$ f 0 ( 980 ) transition form factors

Kroll

2017

Eur. Phys. J. C

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“…While it may still be not possible to clarify all these theoretical issues conclusively, we believe that significant progress has quite recently been achieved in understanding the pion structure both from the theoretical side-perturbatively [26,27,28,29,30] and nonperturbatively [1, 31,32,33,34]-as well as from the experimental side [35,36,37] and associated data-processing techniques [38,39,40], a progress that could bring to a cleaner comparison between data and various theoretical QCD predictions [31,39,40,41,42,43,44,45,46,47,48,49]. 1 Moreover, a program to compute the electromagnetic and transition form factors of mesons on the lattice has been launched by two collaborations, [51,52] and [53], that may provide valuable insights when it is completed.…”

Section: Introductionmentioning

confidence: 99%

Publisher's Note: Pion form factor in QCD: From nonlocal condensates to next-to-leading-order analytic perturbation theory [Phys. Rev. D 70, 033014 (2004)]

Bakulev¹,

Passek‐Kumerički²,

Schroers³

et al. 2004

Phys. Rev. D

118

252

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We present an investigation of the pion's electromagnetic form factor F π (Q 2 ) in the spacelike region utilizing two new ingredients: (i) a double-humped, endpoint-suppressed pion distribution amplitude derived before via QCD sum rules with nonlocal condensates-found to comply at the 1σ level with the CLEO data on the πγ transition-and (ii) analytic perturbation theory at the level of parton amplitudes for hadronic reactions. The computation of F π (Q 2 ) within this approach is performed at NLO of QCD perturbation theory (standard and analytic), including the evolution of the pion distribution amplitude at the same order. We consider the NLO corrections to the form factor in the MS scheme with various renormalization scale settings and also in the α Vscheme. We find that using standard perturbation theory, the size of the NLO corrections is quite sensitive to the adopted renormalization scheme and scale setting. The main results of our analysis are the following: (i) Replacing the QCD coupling and its powers by their analytic images, both dependencies are diminished and the predictions for the pion form factor are quasi scheme and scale-setting independent. (ii) The magnitude of the factorized pion form factor, calculated with the aforementioned pion distribution amplitude, is only slightly larger than the result obtained with the asymptotic one in all considered schemes. (iii) Including the soft pion form factor via local duality and ensuring the Ward identity at Q 2 = 0, we present predictions that are in remarkably good agreement with the existing experimental data both in trend and magnitude.

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“…For an alternative model based on the QCD "handbag" diagram, see the references. [80] As noted above, the analysis of exclusive B decays has much in common with the analysis of exclusive two-photon reactions [81]. For example, consider the three representative contributions to the decay of a B meson to meson pairs illustrated in Fig.…”

Section: Exclusive Two-photon Annihilation Into Hadron Pairsmentioning

confidence: 99%

Physics Opportunities at a Photon–Photon Collider

Brodsky

2003

Int. J. Mod. Phys. A

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The advent of back-scattered laser beams for e ± e − colliders will allow detailed studies of a large array of high energy γγ and γe collision processes with polarized beams. These include tests of electroweak theory in photon-photon annihilation such as γγ → W + W − , γγ → Higgs bosons, and higher-order loop processes, such as γγ → γγ, Zγ, H 0 Z 0 and ZZ. Methods for measuring the anomalous magnetic and quadrupole moments of the W and Z gauge bosons to high precision in polarized electron-photon and photon-photon collisions are discussed. Since each photon can be resolved into a W + W − pair, high energy photon-photon collisions can also provide a remarkably background-free laboratory for studying W W collisions and annihilation. I also review high energy γγ and eγ tests of quantum chromodynamics, including the production of two gluon jets in photon-photon collisions, deeply virtual Compton scattering on a photon target, and leading-twist single-spin asymmetries for a photon polarized normal to a production plane. Exclusive hadron production processes in photon-photon collisions provide important tests of QCD at the amplitude level, particularly as measures of hadron distribution amplitudes which are also important for the analysis of exclusive semi-leptonic and two-body hadronic B-decays.

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The annihilation of virtual photons into pseudoscalar mesons

Cited by 54 publications

References 34 publications

A study of the $$\gamma ^*$$ γ ∗ – $$f_{0}(980)$$ f 0 ( 980 ) transition form factors

A study of the $$\gamma ^*$$ γ ∗ – $$f_{0}(980)$$ f 0 ( 980 ) transition form factors

Publisher's Note: Pion form factor in QCD: From nonlocal condensates to next-to-leading-order analytic perturbation theory [Phys. Rev. D 70, 033014 (2004)]

Physics Opportunities at a Photon–Photon Collider

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