Solution of Evolution Equation for Longitudinal Structure Function F L upto Next-to-Next-to-Leading Order and Its t-Evolution at Small-x

Baruah, N.; Nath, N. M.; Sarma, J. K.

doi:10.1007/s10773-013-1534-2

Cited by 8 publications

(3 citation statements)

References 46 publications

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“…The results are then adjusted to fit the experimental data (mainly at small-x) available for the proton structure function F 2 (x, Q 2 ) measured in DIS, over a large range of values of x and Q 2 by adjusting the parameters in the initial distributions. With much phenomenological success approximate solutions of the linear DGLAP evolution equations have been reported in recent years [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

2017

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In this work we have solved the nonlinear GLR-MQ evolution equation upto next-to-leading order (NLO) by considering NLO terms of the gluon-gluon splitting functions and running coupling constant α s (Q 2 ). Here, we have incorporated a Regge-like behaviour of gluon distribution in order to obtain a solution of the GLR-MQ equation in the range of 5GeV 2 ≤ Q 2 ≤ 25GeV 2 . We have studied the Q 2 evolution of the gluon distribution function G(x, Q 2 ) and its nonlinear effects at small-x. It can be observed from our analysis that the nonlinearities increase with decrease in the correlation radius R of two interacting gluons, as expected. We have compared our result of G(x, Q 2 ) as Q 2 increases and x decreases, for two different values of R, viz. R= 2 GeV −1 and 5 GeV −1 . We have also checked the sensitivity of the Regge intercept λ G on our results. We compare our computed results with those obtained by the global analysis to parton distribution functions (PDFs) by various collaborations where LHC data have been included viz. PDF4LHC15, NNPDF3.0, ABM12 and CT14. Besides we have also shown comparison of our results with HERA PDF data viz. HERAPDF15.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

2017

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“…( 25)) help to estimate the proton longitudinal structure function at high order correction to the running coupling constant. However some available methods used for the solution of similar equation have been derived and demonstrated over other techniques in the literature [25][26][27].…”

Section: Determining the Longitudinal Structure Functionmentioning

confidence: 99%

An Evaluation of The Proton Structure Functions $F_{2}$ and $F_{L}$ at Small $x$

Boroun,

Rezaei

2020

Preprint

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“…Authors in Refs. [9][10][11][12][13][14] presented a set of formula to extract the longitudinal structure function F L (x, Q 2 ) from the transverse structure function F 2 and its derivative dF 2 /dlnQ 2 at low-x. Recently, several methods have been proposed that the longitudinal structure function F L can be related to the nucleon structure function F 2 and the F 2 scaling violation at low values of x [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Longitudinal structure function from the parton parameterization

Rezaei,

Boroun

2019

Preprint

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We present a set of formulas to extract the longitudinal structure function from the proton structure function and its derivatives with respect to lnQ 2 in the next-to-next-to-leading order of the perturbative theory at low x based on a hard poemron exchange. The behavior of the DIS cross section ratio R(x, Q 2 ) and the ratio FL(x, Q 2 )/F2(x, Q 2 ) studied and compared with the experimental data, also these behaviors controlled by the color dipole model bound. These results show a good agreement with the DIS experimental data throughout the low values of x. These results within the next-to-next-to-leading order approximation at very low x can be applied in the LHeC region for analyses of ultra-high energy processes.

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Solution of Evolution Equation for Longitudinal Structure Function F L upto Next-to-Next-to-Leading Order and Its t-Evolution at Small-x

Cited by 8 publications

References 46 publications

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

An Evaluation of The Proton Structure Functions $F_{2}$ and $F_{L}$ at Small $x$

Longitudinal structure function from the parton parameterization

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