The Virtual Compton amplitude in the generalized Bjorken region: twist-2 contributions

A systematic derivation is presented of the twist-2 anomalous dimensions of the general quark and gluon light-ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various representations of the anomalous dimensions are derived both in the non-local and the local light cone expansion and their properties are discussed in detail. Evolution equations for these operators are derived using different representations. General two- and single-variable evolution equations are presented for the expectation values of these operators for non-forward scattering. The Compton amplitude is calculated in terms of these distribution amplitudes. In the limit of forward scattering a new derivation of the integral relations between the twist-2 contributions to the structure functions is given. Special limiting cases which are derived from the general relations are discussed, as the forward case, near-forward scattering, and vacuum-meson transition. Solutions of the two-variable evolution equations for non-forward scattering are presented.

Note:

52 pages LATEX, published version in Nucl. Phys. B Report-no: DESY 99-020, NTZ 16/99

Compton scattering: off-shell
quantum chromodynamics: massless
effect: higher-twist
expansion: light cone
nonlocal
Born approximation
polarization
dimension: anomaly
renormalization group
structure function

References(65)

Figures(0)

- Phys.Rev. 179 1699

Field equations in quantum electrodynamics

R.A. Brandt
(
- Maryland U.
)

- Fortsch.Phys. 18 (1970) 249-283
•
DOI:
- 10.1002/prop.19700180602

Operator products at almost light like distances

Y. Frishman
(
- Weizmann Inst.
)

- Annals Phys. 66 (1971) 373-389
•
DOI:
- 10.1016/0003-4916(71)90195-3

- Fortsch.Phys. 27 459

Short Distance and Light Cone Expansions for Products of Currents

- Annals Phys. 116 (1978) 135-166
•
DOI:
- 10.1016/0003-4916(78)90007-6

- Phys.Lett.B 198 26

STRING OPERATOR EXPANSION OF THE T PRODUCT OF TWO CURRENTS NEAR THE LIGHT CONE

I.I. Balitsky
(
- St. Petersburg, INP
)

- Phys.Lett.B 124 (1983) 230-236
•
DOI:
- 10.1016/0370-2693(83)91442-9

Wave functions, evolution equations and evolution kernels from light ray operators of QCD

Dieter Müller
(
- Leipzig U.
)
,
D. Robaschik
(
- Leipzig U.
)
,
B. Geyer
(
- Leipzig U.
)
,
F.-M. Dittes
(
- Forschungszentrum Dresden Rossendorf
)
,
J. Hořejši
(
- Charles U.
)

- Fortsch.Phys. 42 (1994) 101-141
•
e-Print:
- hep-ph/9812448
•
DOI:
- 10.1002/prop.2190420202

Light Cone Expansion in Renormalized Perturbation Theory

Michael Bordag
(
- Leipzig U.
)
,
D. Robaschik
(
- Leipzig U.
)

- Nucl.Phys.B 169 (1980) 445-460
•
DOI:
- 10.1016/0550-3213(80)90098-X

NONLOCAL LIGHT CONE EXPANSIONS AND EVOLUTION EQUATIONS

- Z.Phys.C 26 (1985) 591-600,
- Z. Phys. C26 ( 1985) 591-600
•
DOI:
- 10.1007/BF01551803

The problem of continuation from deep-inelastic electron scattering to deep electron-positron annihilation

Raoul Gatto
(
- Rome U.
)
,
G. Preparata
(
- Rome U.
)

- Nucl.Phys.B 47 (1972) 313-332,
- Nucl.Phys.B 73 (1974) 548-548 (erratum)
•
DOI:
- 10.1016/0550-3213(72)90119-8

Light cone expansion and corrections to vector meson dominance in Compton scattering

Guido Altarelli
(
- Rome U.
)
,
G. Preparata
(
- Rome U.
)

- Phys.Lett.B 39 (1972) 371-374
•
DOI:
- 10.1016/0370-2693(72)90142-6

Positivity restrictions on nucleon compton amplitudes

- Annals Phys. 78 (1973) 132-175
•
DOI:
- 10.1016/0003-4916(73)90006-7

Automodel behavior of the virtual Compton scattering amplitude in the framework of the Dyson-Jost-Lehmann representation

- Theor.Math.Phys. 19 (1974) 315-324,
- Teor.Mat.Fiz. 19 (1974) 14-26
•
DOI:
- 10.1007/BF01037187

Scaling limit of deeply virtual Compton scattering

A.V. Radyushkin
(
- Old Dominion U. and
- Jefferson Lab
)

- Phys.Lett.B 380 (1996) 417-425
•
e-Print:
- hep-ph/9604317
•
DOI:
- 10.1016/0370-2693(96)00528-X

Asymmetric gluon distributions and hard diffractive electroproduction

A.V. Radyushkin
(
- Old Dominion U. and
- Jefferson Lab
)

- Phys.Lett.B 385 (1996) 333-342
•
e-Print:
- hep-ph/9605431
•
DOI:
- 10.1016/0370-2693(96)00844-1

Nonforward parton distributions

A.V. Radyushkin
(
- Old Dominion U. and
- Jefferson Lab and
- Dubna, JINR
)

- Phys.Rev.D 56 (1997) 5524-5557
•
e-Print:
- hep-ph/9704207
•
DOI:
- 10.1103/PhysRevD.56.5524

Twist-2 light ray operators: Anomalous dimensions and evolution equations

Johannes Blumlein
(
- DESY, Zeuthen
)
,
Bodo Geyer
(
- Leipzig U.
)
,
Dieter Robaschik
(
- DESY, Zeuthen and
- Graz U.
)

- ,
- In *Hamburg/Zeuthen 1997, Deep inelastic scattering off polarized targets, Physics with polarized protons at HERA* 196-209
•
e-Print:
- hep-ph/9711405

On the evolution kernels of twist-2 light ray operators for unpolarized and polarized deep inelastic scattering

- Phys.Lett.B 406 (1997) 161-170
•
e-Print:
- hep-ph/9705264
•
DOI:
- 10.1016/S0370-2693(97)00680-1

The Nucleon structure functions from deep inelastic scattering with electroweak currents

Xiang-Dong Ji
(
- MIT, LNS
)

- Nucl.Phys.B 402 (1993) 217-250
•
DOI:
- 10.1016/0550-3213(93)90642-3

Chiral odd parton distributions and Drell-Yan processes

R.L. Jaffe
(
- MIT, LNS
)
,
Xiang-Dong Ji
(
- MIT, LNS
)

- Nucl.Phys.B 375 (1992) 527-560
•
DOI:
- 10.1016/0550-3213(92)90110-W

Light cone structure of current commutators in the gluon quark model

David J. Gross
(
- Princeton U.
)
,
S.B. Treiman
(
- Princeton U.
)

- Phys.Rev.D 4 (1971) 1059-1072
•
DOI:
- 10.1103/PhysRevD.4.1059

Decomposition of nonlocal light cone operators into harmonic operators of definite twist

- Nucl.Phys.B 559 (1999) 339-377
•
e-Print:
- hep-th/9901090
•
DOI:
- 10.1016/S0550-3213(99)00334-X

Evolution Equations for QCD String Operators

- Nucl.Phys.B 311 (1989) 541-584
•
DOI:
- 10.1016/0550-3213(89)90168-5

- Phys.Lett.B 72 95

1-25 of 65
1
2
3
25 / page