2018
DOI: 10.1103/physrevc.97.015206
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Longitudinal structure function from logarithmic slopes of F2 at low x

Abstract: Using Laplace transform techniques, I calculate the longitudinal structure function FL(x, Q 2 ) from the scaling violations of the proton structure function F2(x, Q 2 ), and make a critical study of this relationship between the structure functions at leading order (LO) up to next-to-next-to leading order (NNLO) analysis at small x. Furthermore, I consider heavy quark contributions to the relation between the structure functions, which leads to compact formula for N f = 3 + Heavy. The nonlinear corrections to … Show more

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Cited by 21 publications
(6 citation statements)
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“…Parton distribution functions (PDFs) extracted from global QCD fits of deep inelastic electron proton (ep) scattering at HERA as well as proton-(anti)proton (pp) collision at hadron colliders such as LHC, are a fundamental input into hadron collider physics and has been very important in the investigation of the partonic structure of the nucleon, (see [1][2][3][4] for a recent review and [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] for recent determination of different types of PDFs). Much effort also have been made by theoretical and experimental particle physics communities to improve our understanding on the partonic structure of the nucleon and nuclei [2,[22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. These studies mostly include the the potential of recent measurements at high energy collider to better constrain our present knowledge of the PDFs and the importance or resulting PDFs for predictions of processes at the LHC and possible future high energy and high luminosity lepton and hadron colliders.…”
mentioning
confidence: 99%
“…Parton distribution functions (PDFs) extracted from global QCD fits of deep inelastic electron proton (ep) scattering at HERA as well as proton-(anti)proton (pp) collision at hadron colliders such as LHC, are a fundamental input into hadron collider physics and has been very important in the investigation of the partonic structure of the nucleon, (see [1][2][3][4] for a recent review and [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] for recent determination of different types of PDFs). Much effort also have been made by theoretical and experimental particle physics communities to improve our understanding on the partonic structure of the nucleon and nuclei [2,[22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. These studies mostly include the the potential of recent measurements at high energy collider to better constrain our present knowledge of the PDFs and the importance or resulting PDFs for predictions of processes at the LHC and possible future high energy and high luminosity lepton and hadron colliders.…”
mentioning
confidence: 99%
“…with e 2 i = 4/9 (1/9) for up (down) type quarks, where the parton densities are readily available through the LHAPDF 6 library interface [20]. The longitudinal structure function F L can be related to gluon densities within pQCD, an interesting topic also algorithmically, for a recent work see [17].…”
Section: Photon-photon Interactionsmentioning
confidence: 99%
“…at high-order corrections [7]. In pQCD, the Altarelli-Martinelli equation for longitudinal structure function in terms of coefficient functions is given by [8][9] gluonic term :…”
Section: Introductionmentioning
confidence: 99%