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Solution of singlet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equation in next-to-next-to-leading order at small-x

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Abstract

In this paper we have obtained the singlet structure function by solving the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in next-to-next-to-leading order at the small-x limit. Here we have used a Taylor series expansion to solve the evolution equations to get the t (=ln Q 2/Λ 2) and x-evolutions of structure functions, where x is the Bjorken variable, Q 2 is the four momentum transfer in a deep inelastic scattering (DIS) process and Λ is the QCD cut off parameter. We have also calculated the t and x-evolutions of deuteron structure functions. Results are compared with recent experimental data and parametrizations.

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Acknowledgment

Two of the authors (M D and J K S) are grateful to UGC for financial support.

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Authors and Affiliations

  1. Department of Physics, Tezpur University, Napaam, Tezpur, 784028, Assam, India

    M. Devee & J. K. Sarma

  2. Department of Physics, J.N. College, Boko, 781123, Assam, India

    R. Baishya

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  1. M. Devee
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  2. R. Baishya
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  3. J. K. Sarma
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Correspondence to M. Devee.

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Devee, M., Baishya, R. & Sarma, J.K. Solution of singlet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equation in next-to-next-to-leading order at small-x . Indian J Phys 86, 141–144 (2012). https://doi.org/10.1007/s12648-012-0015-4

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  • DOI: https://doi.org/10.1007/s12648-012-0015-4

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