Analytical solution of the double-logarithmic integral equation with QCD running coupling

Manayenkov, S. I.

doi:10.1007/s002880050514

Zeitschrift f�r Physik C Particles and Fields

1997

DOI: 10.1007/s002880050514

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Analytical solution of the double-logarithmic integral equation with QCD running coupling

S. I. Manayenkov

Abstract: The analytical solution of the double-logarithmic integral equation with QCD running coupling describing small-x behaviour of the non-singlet structure function f NS

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Cited by 4 publications

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Treatment of the QCD coupling in high energy processes

Ermolaev¹,

Greco²,

Troyan³

2001

Physics Letters B

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The treatment of the running QCD coupling in evolution equations is discussed. It is shown that the use of the virtuality of ladder (vertical) partons as the scale for QCD coupling in every rung of ladder graphs is an approximation that holds for DIS at large x only. On the contrary, in the small x region the coupling depends on the virtuality of s -channel (horizontal) gluons. This observation leads to different results for the Regge-like processes and DIS structure functions at small x.

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Treatment of the QCD coupling in high energy processes

Ermolaev¹,

Greco²,

Troyan³

2001

Physics Letters B

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QCD running coupling effects for the non-singlet structure function at small x

2000

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A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelastic scattering, taking into account both the double-logarithmic and the single-logarithmic contributions, including the running α s effects. It is shown that when these contributions are included, the asymptotic small-x behaviour is power-like, with an exponent of about 0.4.

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QCD expectations for the spin structure functiong1in the lowxregion

Kwieciński

Ziaja

1999

Phys. Rev. D

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The structure function g 1 (x,Q 2 ) is analyzed within the formalism based on unintegrated spin-dependent parton distributions incorporating the LO Altarelli-Parisi evolution and the double ln 2 (1/x) resummation at low x. We quantitatively examine the possible role of the latter for the small x behavior of the structure functions g 1 of the nucleon within the region which may be relevant for the possible polarized DESY HERA measurements. We show that while the nonsinglet structure function is dominated at low x by ladder diagrams the contribution of the nonladder bremsstrahlung terms is important for the singlet structure function. Predictions for the polarized gluon distribution ⌬G(x,Q 2 ) at low x are also given. ͓S0556-2821͑99͒07713-9͔

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Analytical solution of the double-logarithmic integral equation with QCD running coupling

Abstract: The analytical solution of the double-logarithmic integral equation with QCD running coupling describing small-x behaviour of the non-singlet structure function f NS

Cited by 4 publications

References 12 publications

Treatment of the QCD coupling in high energy processes

Treatment of the QCD coupling in high energy processes

QCD running coupling effects for the non-singlet structure function at small x

QCD expectations for the spin structure functiong1in the lowxregion

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