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2007•Chinese Physics LettersOpen access

Calculation of the Longitudinal Structure Function from Regge-Like Behaviour of the Gluon Distribution Function in Leading Order Approximation at Low x

G. R. Boroun, Behrooz Rezaie

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Abstract

We present the calculations of F L longitudinal structure functions from DGLAP evolution equation in leading order (LO) at low- x , assuming the Regge-like behaviour of gluon distribution at this limit. The calculated results are compared with the H 1 data and QCD fit. It is shown that the obtained results are very close to the mentioned methods. The proposed simple analytical relation for F L provides a t -evolution equation for the determination of the longitudinal structure function at low- x . All the results can consistently be described within the framework of perturbative QCD, which essentially shows increases as x decreases.

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We present the calculations of F L longitudinal structure functions from DGLAP evolution equation in leading order (LO) at low- x , assuming the Regge-like behaviour of gluon distribution at this limit. The calculated results are compared with the H 1 data and QCD fit. It is shown that the obtained results are very close to the mentioned methods. The proposed simple analytical relation for F L provides a t -evolution equation for the determination of the longitudinal structure function at low- x . All the results can consistently be described within the framework of perturbative QCD, which essentially shows increases as x decreases.

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Available abstract

We present the calculations of F L longitudinal structure functions from DGLAP evolution equation in leading order (LO) at low- x , assuming the Regge-like behaviour of gluon distribution at this limit. The calculated results are compared with the H 1 data and QCD fit. It is shown that the obtained results are very close to the mentioned methods. The proposed simple analytical relation for F L provides a t -evolution equation for the determination of the longitudinal structure function at low- x . All the results can consistently be described within the framework of perturbative QCD, which essentially shows increases as x decreases.

Key concepts: DGLAP, Physics, Distribution function, Gluon, Limit (mathematics), Quantum chromodynamics, Structure function, Order (exchange)

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