Anomalous components of the photon structure functions

Dewitt, R. J.; Jones, L. M.; Sullivan, J. D.; Willen, D. E.; Wyld, H. W.

doi:10.1103/physrevd.19.2046

Cited by 121 publications

(53 citation statements)

References 10 publications

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“…1) It does not depend on kinematical variables internal to the subprocess which may lead to incorrect results when HO corrections are calculated [19] ; 2) The resolved component calculated at M γ vanishes when…”

Section: ⊥4mentioning

confidence: 99%

Electroproduction cross section of large-E $_{\bot}$ hadrons at NLOand virtual photon structure function

Fontannaz

2004

Eur. Phys. J. C

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We calculate Higher Order corrections to the resolved component of the electroproduction cross section of large-E ⊥ hadrons. The parton distributions in the virtual photon are studied in detail and a NLO parametrization of the latter is proposed. The contribution of the resolved component to the forward production of large-E ⊥ hadrons is calculated and its connection with the BFKL cross section is discussed.

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Section: ⊥4mentioning

confidence: 99%

Electroproduction cross section of large-E $_{\bot}$ hadrons at NLOand virtual photon structure function

Fontannaz

2004

Eur. Phys. J. C

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“…The Q 2 evolution of these parton distributions is described by the inhomogeneous Altarelli-Parisi (AP) equations in the leading logarithmic approximation [32]. For massless n f -flavor case the AP equations can be written as follows:…”

Section: A Inhomogeneous Altarelli-parisi Equationsmentioning

confidence: 99%

Gluon and charm distributions in the photon

et al. 1995

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We study systematically the sensitivity of the photon structure function data on the gluon contents of the photon, by using the leading order Altarelli-Parisi (AP) equations. Charm quark contribution is studied in the quark parton model and by using the massive quark AP equations of Glück, Hoffmann and Reya. The present photon structure function data are found to allow wide range of gluon distributions in the photon. We give a set of six scale-dependent parton distributions in the photon (WHIT1 to WHIT6), which have systematically different gluon contents. Sensitivity of the structure function at small x and that of the total charm quark production cross section to the effective 1 gluon distribution are discussed.12.38.-t Typeset using REVT E X 2

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“…These results were obtained in the framework based on the operator product expansion (OPE) [7] supplemented by the renormalization group (RG) method. The same results were rederived by the QCD improved PM powered by the parton evolution equations [8,9]. Recently, the lowest six even-integer Mellin moments of the photon-parton splitting functions were caluculated to the next-to-next-to-leading order (NNLO) and the parton distributions of real photon and the sturucture function F γ 2 were analyzed [10].…”

Section: Introductionmentioning

confidence: 93%

“…The moments of F γ L (x, Q 2 , P 2 ) are then given as follows (see Eqs. (2.29)-(2.37) for comparison): 8) with i, j = +, −, NS. The coefficients B n (L),i and C n (L) represent the LO terms [5,6,17], while the terms with E n (L),i , F n (L),i and G n (L) are the NLO (αα s ) corrections and new.…”

Section: Photon Matrix Elementsmentioning

confidence: 99%

Virtual photon structure functions to the next-to-next-to-leading order in QCD

2007

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We investigate the unpolarized virtual photon structure functions F γ 2 (x, Q 2 , P 2 ) and F γ L (x, Q 2 , P 2 ) in perturbative QCD for the kinematical region Λ 2 ≪ P 2 ≪ Q 2 , where −Q 2 (−P 2 ) is the mass squared of the probe (target) photon and Λ is the QCD scale parameter. Using the framework of the operator product expansion supplemented by the renormalization group method, we derive the definite predictions for the moments of F γ 2 (x, Q 2 , P 2 ) up to the next-to-next-to-leading order (NNLO) (the order αα s ) and for the moments of F γ L (x, Q 2 , P 2 ) up to the next-to-leading order (NLO) (the order αα s ). The NNLO corrections to the sum rule of F γ 2 (x, Q 2 , P 2 ) are negative and found to be 7% ∼ 10% of the sum of the LO and NLO contributions, when P 2 = 1GeV 2 and Q 2 = 30 ∼ 100GeV 2 or P 2 = 3GeV 2 and Q 2 = 100GeV 2 , and the number of active quark flavors n f is three or four. The NLO corrections to F γ L are also negative. The moments are inverted numerically to obtain the predictions for F γ 2 (x, Q 2 , P 2 ) and F γ L (x, Q 2 , P 2 ) as functions of x.

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Anomalous components of the photon structure functions

Cited by 121 publications

References 10 publications

Electroproduction cross section of large-E $_{\bot}$ hadrons at NLOand virtual photon structure function

Electroproduction cross section of large-E $_{\bot}$ hadrons at NLOand virtual photon structure function

Gluon and charm distributions in the photon

Virtual photon structure functions to the next-to-next-to-leading order in QCD

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