ID 33813
file
title alternative
スピン構造関数g_1(X,Q^2)に対する小さなX領域での再足し挙げの効果
creator
Tochimura, Hiroshi
NDC
Mathematics
abstract
The double logarithmic terms asln2 x are important to predict precisely the small x behavior of the spin structure function g1. We consider the all-order resummation of these logarithmic terms. We numerically analyze the evolution of the flavor non-singlet g1 structure function taking into account this resummed effect. We include not only the leading logarithmic corrections but also some known next-to-leading logarithmic corrections. It is pointed out that the next-to-leading logarithmic corrections produce an unexpectedly large suppression factor over the experimentally accessible range of x and Q2. This fact implies that the next-to-leading logarithmic contributions are very important in order to obtain a definite prediction.
contents
Abstract
Contents
1 Introduction / p2
2 The basic knowledge of deep inelastic scattering / p7
 2.1 The kinematics of deep inelastic scattering / p7
 2.2 Sum rules / p11
3 The resummation of logarithmic terms / p14
 3.1 The necessity of the resummation / p14
 3.2 The double logarithmic approximation(DLA)for flavor non-singlet g₁ structure function / p17
 3.3 The expansion of DLA formula / p35
4 Numerical analysis / p39
 4.1 The numerical Mellin inversion technique / p39
 4.2 The small x behavior of g₁ structure function / p42
 4.3 Discussion / p46
5 Summary / p49
A QCD Lagrangian and Feynman rules / p52
B The anomalous dimension and the coefficient function / p55
SelfDOI
language
eng
nii type
Thesis or Dissertation
HU type
Doctoral Theses
DCMI type
text
format
application/pdf
text version
ETD
rights
Copyright(c) by Author
relation references
Does leading in x resummation predict the rise of g1 at small x ? Yuichiro Kiyo, Jiro Kodaira, Hiroshi Tochimura, Zeitschrift für Physik C74 (1997) 631
grantid
甲第1742号
degreeGrantor
広島大学(Hiroshima University)
degreename Ja
博士(理学)
degreename En
Physical Science
degreelevel
doctoral
date of granted
1998-03-05
department
Graduate School of Science