2007
DOI: 10.1016/j.physletb.2006.12.038
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Deeply virtual Compton scattering on a photon and generalized parton distributions in the photon

Abstract: We consider deeply virtual Compton scattering on a photon target, in the generalized Bjorken limit, at the Born order and in the leading logarithmic approximation. We interpret the result as a factorized amplitude of a hard process described by handbag diagrams and anomalous generalized parton distributions in the photon. This anomalous part, with its characteristic ln(Q 2 ) dependence, is present both in the DGLAP and in the ERBL regions. As a consequence, these generalized parton distributions of the photon … Show more

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Cited by 36 publications
(66 citation statements)
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“…We have chosen the light-front gauge A + = 0. As pointed out in [4], there is also the photon operator which mixes with the quark operator, it contributes at the same order in α in the scattering amplitude. However here we calculate the matrix element rather than the amplitude of the process and the contribution to the matrix element of the photon operator comes at zeroth order in α. F q andF q can be calculated using the Fock space expansion of the state, which can be written as [4]…”
Section: Gpds Of the Photonmentioning
confidence: 87%
See 1 more Smart Citation
“…We have chosen the light-front gauge A + = 0. As pointed out in [4], there is also the photon operator which mixes with the quark operator, it contributes at the same order in α in the scattering amplitude. However here we calculate the matrix element rather than the amplitude of the process and the contribution to the matrix element of the photon operator comes at zeroth order in α. F q andF q can be calculated using the Fock space expansion of the state, which can be written as [4]…”
Section: Gpds Of the Photonmentioning
confidence: 87%
“…Leading order evolution of the photon GPDs has been calculated in [4] for non-zero ζ. The mass terms in the vertex give subdominant contributions which we included.…”
Section: Gpds Of the Photonmentioning
confidence: 99%
“…It can be easily established that this representation yields the result of the independent GPD calculation [101]. The fact that the GDA/GPD is expressed by only one function ̟ i /ω i implies GPD-duality, i.e., the cross talk of the central and outer regions in which the GPD is given by respectively.…”
Section: A Gpd Toy Example: Photon Twist-two Gpdmentioning
confidence: 89%
“…This bound was recently studied [230] for the case of pion-photon transition GPD [231] and the consideration of photonic GPD in the perturbative regime allows explicit tests of these inequalities [232].…”
Section: Generalised Parton Distributionsmentioning
confidence: 99%