The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

Jakob Ablinger; A. Behring; Johannes Blümlein; Abilio De Freitas; A. von Manteuffel; Carsten Schneider; K. Schönwald

The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

Jakob Ablinger, A. Behring, Johannes Blümlein, Abilio De Freitas, A. von Manteuffel, Carsten Schneider, K. Schönwald

Research Institute for Symbolic Computation

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

We report on the status of the calculation of the massive Wilson coefficients and operator matrix elements for deep-inelastic scatterung to three-loop order. We discuss both the unpolarized and the polarized case, for which all the single-mass and nearly all two-mass contributions have been calculated. Numerical results on the structure function $F_2(x,Q^2)$ are presented. In the polarized case, we work in the Larin scheme and refer to parton distribution functions in this scheme. Furthermore, results on the three-loop variable flavor number scheme are presented.

Original language	English
Title of host publication	Proceedings of Loops and Legs in Quantum Field Theory
Editors	P. Marquard, M. Steinhauser
Publisher	arXiv:2407.02006 [hep-ph]
Pages	1--12
Number of pages	12
Volume	PoS(LL2024)047
ISBN (Print)	1824-8039
Publication status	Published - 2024

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

JKU Focus areas

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Cite this

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title = "The three-loop single-mass heavy flavor corrections to deep-inelastic scattering",

abstract = "We report on the status of the calculation of the massive Wilson coefficients and operator matrix elements for deep-inelastic scatterung to three-loop order. We discuss both the unpolarized and the polarized case, for which all the single-mass and nearly all two-mass contributions have been calculated. Numerical results on the structure function \$F\_2(x,Q\textasciicircum{}2)\$ are presented. In the polarized case, we work in the Larin scheme and refer to parton distribution functions in this scheme. Furthermore, results on the three-loop variable flavor number scheme are presented.",

author = "Jakob Ablinger and A. Behring and Johannes Bl{\"u}mlein and \{De Freitas\}, Abilio and \{von Manteuffel\}, A. and Carsten Schneider and K. Sch{\"o}nwald",

year = "2024",

language = "English",

isbn = "1824-8039",

volume = "PoS(LL2024)047",

pages = "1----12",

editor = "\{P. Marquard, M. Steinhauser\}",

booktitle = "Proceedings of Loops and Legs in Quantum Field Theory",

publisher = "arXiv:2407.02006 [hep-ph]",

}

The three-loop single-mass heavy flavor corrections to deep-inelastic scattering. / Ablinger, Jakob; Behring, A.; Blümlein, Johannes et al.
Proceedings of Loops and Legs in Quantum Field Theory. ed. / P. Marquard, M. Steinhauser. Vol. PoS(LL2024)047 arXiv:2407.02006 [hep-ph], 2024. p. 1--12.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

TY - GEN

T1 - The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

AU - Ablinger, Jakob

AU - Behring, A.

AU - Blümlein, Johannes

AU - De Freitas, Abilio

AU - von Manteuffel, A.

AU - Schneider, Carsten

AU - Schönwald, K.

PY - 2024

Y1 - 2024

N2 - We report on the status of the calculation of the massive Wilson coefficients and operator matrix elements for deep-inelastic scatterung to three-loop order. We discuss both the unpolarized and the polarized case, for which all the single-mass and nearly all two-mass contributions have been calculated. Numerical results on the structure function $F_2(x,Q^2)$ are presented. In the polarized case, we work in the Larin scheme and refer to parton distribution functions in this scheme. Furthermore, results on the three-loop variable flavor number scheme are presented.

AB - We report on the status of the calculation of the massive Wilson coefficients and operator matrix elements for deep-inelastic scatterung to three-loop order. We discuss both the unpolarized and the polarized case, for which all the single-mass and nearly all two-mass contributions have been calculated. Numerical results on the structure function $F_2(x,Q^2)$ are presented. In the polarized case, we work in the Larin scheme and refer to parton distribution functions in this scheme. Furthermore, results on the three-loop variable flavor number scheme are presented.

UR - https://doi.org/10.22323/1.467.0047

M3 - Conference proceedings

SN - 1824-8039

VL - PoS(LL2024)047

SP - 1

EP - 12

BT - Proceedings of Loops and Legs in Quantum Field Theory

A2 - P. Marquard, M. Steinhauser, null

PB - arXiv:2407.02006 [hep-ph]

ER -

The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

Abstract

Fields of science

JKU Focus areas

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