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Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation

We describe the determination of the longitudinal structure function FL at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) approximations, using Laplace transform techniques, into the parametrization of F2(x,Q2) and its derivative with respect to lnQ2 at low values of the Bjorke...

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Autores principales: Boroun, G R, Rezaei, B
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.105.034002
http://cds.cern.ch/record/2806212
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author Boroun, G R
Rezaei, B
author_facet Boroun, G R
Rezaei, B
author_sort Boroun, G R
collection CERN
description We describe the determination of the longitudinal structure function FL at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) approximations, using Laplace transform techniques, into the parametrization of F2(x,Q2) and its derivative with respect to lnQ2 at low values of the Bjorken variable x. The obtained results are comparable with others by considering the effect of the charm quark mass to the longitudinal structure function, which leads to rescaling the variable for nf=4. Numerical calculations and comparison with H1 data demonstrate that the suggested method provides reliable FL(x,Q2) at small x in a wide range of Q2 values and can be applied as well in analyses of ultrahigh energy processes with cosmic neutrinos. The obtained longitudinal structure functions with and without the LHeC simulated uncertainties [CERN-ACC-Note-2020-0002, P. Agostini (LHeC Collaboration and FCC-he Study Group), J. Phys. G 48, 110501 (2021).] are compared with the H1 Collaboration data [V. Andreev et al. (H1 Collaboration), Eur. Phys. J. C 74, 2814 (2014) and F. D. Aaron et al. (H1 Collaboration), Eur. Phys. J. C 71, 1579 (2011)] and with the results from the CT18 [T.-J. Hou et al., Phys. Rev. D 103, 014013 (2021)] parametrization model at NLO and NNLO approximations.
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spelling cern-28062122022-06-30T12:03:49Zdoi:10.1103/PhysRevD.105.034002http://cds.cern.ch/record/2806212engBoroun, G RRezaei, BHigher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformationhep-phParticle Physics - PhenomenologyWe describe the determination of the longitudinal structure function FL at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) approximations, using Laplace transform techniques, into the parametrization of F2(x,Q2) and its derivative with respect to lnQ2 at low values of the Bjorken variable x. The obtained results are comparable with others by considering the effect of the charm quark mass to the longitudinal structure function, which leads to rescaling the variable for nf=4. Numerical calculations and comparison with H1 data demonstrate that the suggested method provides reliable FL(x,Q2) at small x in a wide range of Q2 values and can be applied as well in analyses of ultrahigh energy processes with cosmic neutrinos. The obtained longitudinal structure functions with and without the LHeC simulated uncertainties [CERN-ACC-Note-2020-0002, P. Agostini (LHeC Collaboration and FCC-he Study Group), J. Phys. G 48, 110501 (2021).] are compared with the H1 Collaboration data [V. Andreev et al. (H1 Collaboration), Eur. Phys. J. C 74, 2814 (2014) and F. D. Aaron et al. (H1 Collaboration), Eur. Phys. J. C 71, 1579 (2011)] and with the results from the CT18 [T.-J. Hou et al., Phys. Rev. D 103, 014013 (2021)] parametrization model at NLO and NNLO approximations.We describe the determination of the longitudinal structure function $F_{L}$ at NLO and NNLO approximations, using Laplace transform techniques, into the parametrization of $F_{2}(x,Q^{2})$ and its derivative with respect to $\ln{Q^{2}}$ at low values of the Bjorken variable $x$. The obtained results are comparable with others by considering the effect of the charm quark mass to the longitudinal structure function, which leads to rescaling variable for $n_{f}=4$. Numerical calculations and comparison with H1 data demonstrate that the suggested method provides reliable $F_{L}(x,Q^{2})$ at small $x$ in a wide range of $Q^{2}$ values and can be applied as well in analyses of ultra-high energy processes with cosmic neutrinos. The obtained longitudinal structure functions with and without the LHeC simulated uncertainties [CERN-ACC-Note-2020-0002, LHeC Collaboration and FCC-he Study Group, P. Agostini et al., J. Phys. G: Nucl. Part. Phys. {\bf48}, 110501(2021).] are compared with the H1 Collaboration data [Eur.Phys.J.C{\bf74}, 2814(2014) and Eur.Phys.J.C{\bf71}, 1579 (2011)] and with the results from CT18 [Phys.Rev.D{\bf103}, 014013(2021)] parametrization model at NLO and NNLO approximations.arXiv:2111.08925oai:cds.cern.ch:28062122022
spellingShingle hep-ph
Particle Physics - Phenomenology
Boroun, G R
Rezaei, B
Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation
title Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation
title_full Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation
title_fullStr Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation
title_full_unstemmed Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation
title_short Higher order approximations to the longitudinal structure function FL from the parametrization of F2 based on the Laplace transformation
title_sort higher order approximations to the longitudinal structure function fl from the parametrization of f2 based on the laplace transformation
topic hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.105.034002
http://cds.cern.ch/record/2806212
work_keys_str_mv AT boroungr higherorderapproximationstothelongitudinalstructurefunctionflfromtheparametrizationoff2basedonthelaplacetransformation
AT rezaeib higherorderapproximationstothelongitudinalstructurefunctionflfromtheparametrizationoff2basedonthelaplacetransformation