Model Independent Constraint on the Gluon Distribution Function $G$ (X, $Q^2$) at Small X

Mahapatra, B.P.

doi:10.1142/S021773238900188X

Model Independent Constraint on the Gluon Distribution Function $G$ (X, $Q^2$ ) at Small X

B.P. Mahapatra
(
- Bhubaneswar, Inst. Phys.
)

1989

13 pages

Published in:

Mod.Phys.Lett.A 4 (1989) 1653-1665

DOI:

10.1142/S021773238900188X

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Abstract: (WSP)

An asymptotic constraint on the gluon distribution function G(x, Q2) for large Q2 and small x (→0), is derived in QCD, given by

xG (x,Q^2)\to (9/N_f)\int_x^1 (dy/y)F_2^{\nu N} (y,Q^2)

where Nf=number of quark flavors and

F_2^{\nu N}

is the standard structure function measured in deep inelastic neutrino scattering. It is shown that this constraint is a rigoros upper bound for xG at any finite — Q2 for small x→0 and hence can be used to check the self-consistency of different models for G(x, Q2) proposed to describe small x physics. The subasymptotic Q2-corections to the above relation is found to be small (~15–20%) in the kinematical domain of interest at the forthcoming hadron colliders, i.e., for x<10−2, Q2>103GeV2. The finite Q2 — corrections are again predominantly determined by

F_2^{\nu N}

. This may, for the first time, provide a method for direct experimental measurement of xG in near future, at HERA and TEVATRON.

GLUON: MOMENTUM SPECTRUM
NUCLEON: STRUCTURE FUNCTION
NEUTRINO NUCLEON: DEEP INELASTIC SCATTERING
DEEP INELASTIC SCATTERING: NEUTRINO NUCLEON
QUANTUM CHROMODYNAMICS
NUMERICAL CALCULATIONS

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Model Independent Constraint on the Gluon Distribution Function GGG (X, Q2Q^2Q2) at Small X

Citations per year

Model Independent Constraint on the Gluon Distribution Function $G$ (X, $Q^2$ ) at Small X