Heavy quarks in deep-inelastic scattering

Stefano Forte, Eric Laenen, Paolo Nason, Juan Rojo

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We discuss a general framework for the inclusion of heavy quark mass contributions to deep-inelastic structure functions and their perturbative matching to structure functions computed in variable-mass schemes. Our approach is based on the so-called FONLL method, previously introduced and applied to heavy quark hadroproduction and photoproduction. We define our framework, provide expressions up to second order in the strong coupling, and use them to construct matched expressions for structure functions up to NNLO. After checking explicitly the consistency of our results, we perform a study of the phenomenological impact of heavy quark terms, and compare results obtained at various perturbative orders, and with various prescriptions for the treatment of subleading terms, specifically those related to threshold behaviour. We also consider the heavy quark structure function F-2c and discuss issues related to the presence of mass singularities in their coefficient functions. (C) 2010 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)116-162
JournalNuclear Physics B
Volume834
Issue number1-2
DOIs
Publication statusPublished - 21 Jul 2010

Fingerprint

inelastic scattering
quarks
photoproduction
inclusions
thresholds
coefficients

Bibliographical note

51 pages, 25 figures. Final version, to be published in Nucl. Phys. B. References 19, 20, 24, 36 added; footnote 2 added; comparison to refs.18, 14 added in sect 2.1 and to ref 19 in sect 3.2. Discussion of fig.10 clarified.

Keywords

  • hep-ph

Cite this

Forte, Stefano ; Laenen, Eric ; Nason, Paolo ; Rojo, Juan. / Heavy quarks in deep-inelastic scattering. In: Nuclear Physics B. 2010 ; Vol. 834, No. 1-2. pp. 116-162.
@article{2f196f4c2c0f44539e79f014f49008e8,
title = "Heavy quarks in deep-inelastic scattering",
abstract = "We discuss a general framework for the inclusion of heavy quark mass contributions to deep-inelastic structure functions and their perturbative matching to structure functions computed in variable-mass schemes. Our approach is based on the so-called FONLL method, previously introduced and applied to heavy quark hadroproduction and photoproduction. We define our framework, provide expressions up to second order in the strong coupling, and use them to construct matched expressions for structure functions up to NNLO. After checking explicitly the consistency of our results, we perform a study of the phenomenological impact of heavy quark terms, and compare results obtained at various perturbative orders, and with various prescriptions for the treatment of subleading terms, specifically those related to threshold behaviour. We also consider the heavy quark structure function F-2c and discuss issues related to the presence of mass singularities in their coefficient functions. (C) 2010 Elsevier B.V. All rights reserved.",
keywords = "hep-ph",
author = "Stefano Forte and Eric Laenen and Paolo Nason and Juan Rojo",
note = "51 pages, 25 figures. Final version, to be published in Nucl. Phys. B. References 19, 20, 24, 36 added; footnote 2 added; comparison to refs.18, 14 added in sect 2.1 and to ref 19 in sect 3.2. Discussion of fig.10 clarified.",
year = "2010",
month = "7",
day = "21",
doi = "10.1016/j.nuclphysb.2010.03.014",
language = "English",
volume = "834",
pages = "116--162",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1-2",

}

Heavy quarks in deep-inelastic scattering. / Forte, Stefano; Laenen, Eric; Nason, Paolo; Rojo, Juan.

In: Nuclear Physics B, Vol. 834, No. 1-2, 21.07.2010, p. 116-162.

Research output: Contribution to JournalArticleAcademicpeer-review

TY - JOUR

T1 - Heavy quarks in deep-inelastic scattering

AU - Forte, Stefano

AU - Laenen, Eric

AU - Nason, Paolo

AU - Rojo, Juan

N1 - 51 pages, 25 figures. Final version, to be published in Nucl. Phys. B. References 19, 20, 24, 36 added; footnote 2 added; comparison to refs.18, 14 added in sect 2.1 and to ref 19 in sect 3.2. Discussion of fig.10 clarified.

PY - 2010/7/21

Y1 - 2010/7/21

N2 - We discuss a general framework for the inclusion of heavy quark mass contributions to deep-inelastic structure functions and their perturbative matching to structure functions computed in variable-mass schemes. Our approach is based on the so-called FONLL method, previously introduced and applied to heavy quark hadroproduction and photoproduction. We define our framework, provide expressions up to second order in the strong coupling, and use them to construct matched expressions for structure functions up to NNLO. After checking explicitly the consistency of our results, we perform a study of the phenomenological impact of heavy quark terms, and compare results obtained at various perturbative orders, and with various prescriptions for the treatment of subleading terms, specifically those related to threshold behaviour. We also consider the heavy quark structure function F-2c and discuss issues related to the presence of mass singularities in their coefficient functions. (C) 2010 Elsevier B.V. All rights reserved.

AB - We discuss a general framework for the inclusion of heavy quark mass contributions to deep-inelastic structure functions and their perturbative matching to structure functions computed in variable-mass schemes. Our approach is based on the so-called FONLL method, previously introduced and applied to heavy quark hadroproduction and photoproduction. We define our framework, provide expressions up to second order in the strong coupling, and use them to construct matched expressions for structure functions up to NNLO. After checking explicitly the consistency of our results, we perform a study of the phenomenological impact of heavy quark terms, and compare results obtained at various perturbative orders, and with various prescriptions for the treatment of subleading terms, specifically those related to threshold behaviour. We also consider the heavy quark structure function F-2c and discuss issues related to the presence of mass singularities in their coefficient functions. (C) 2010 Elsevier B.V. All rights reserved.

KW - hep-ph

U2 - 10.1016/j.nuclphysb.2010.03.014

DO - 10.1016/j.nuclphysb.2010.03.014

M3 - Article

VL - 834

SP - 116

EP - 162

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -