The effects of small X resummation on the spin structure function g_1(X,Q^2)
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この文献の参照には次のURLをご利用ください : https://doi.org/10.11501/3147609
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| Title ( eng ) |
The effects of small X resummation on the spin structure function g_1(X,Q^2)
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| Title ( jpn ) |
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
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| Creator |
Tochimura Hiroshi
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| 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.
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| Descriptions |
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 |
| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | doctoral thesis |
| Rights |
Copyright(c) by Author
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| Publish Type | Not Applicable (or Unknown) |
| Access Rights | open access |
| Source Identifier |
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
references
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| Dissertation Number | 甲第1742号 |
| Degree Name | |
| Date of Granted | 1998-03-05 |
| Degree Grantors |
広島大学
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