Longitudinal heavy quark structure function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mi>F</mml:mi><mml:mi>L</mml:mi><mml:mrow><mml:mi>Q</mml:mi><mml:mover accent="true"><mml:mi>Q</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:msubsup></mml:math> in the region <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>≫</mml:mo><mml:ms

Blümlein, J.; Freitas, A. De; Neerven, W.L. van; Klein, Sebastian

doi:10.1016/j.nuclphysb.2006.08.014

Cited by 128 publications

(126 citation statements)

References 66 publications

(64 reference statements)

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“…The NNLO O(α 3 s ) 3-loop corrections to F h L and first rudimentary contributions to F h 2 have been calculated recently [57,58,59] for Q 2 m 2 h , but these asymptotic results are neither applicable for our present investigation nor relevant for the majority of presently available data at lower values of Q 2 . Our ignorance of the full NNLO O(α 3 s ) corrections to F h 2,L constitute the major problem for any NNLO DIS analysis in the FFNS.…”

Section: Evolutions Of Parton Distributions and Structure Functionsmentioning

confidence: 87%

Dynamical next-to-next-to-leading order parton distributions

2009

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Utilizing recent DIS measurements (σ r , F 2,3,L ) and data on hadronic dilepton production we determine at NNLO (3-loop) of QCD the dynamical parton distributions of the nucleon generated radiatively from valencelike positive input distributions at an optimally chosen low resolution scale (Q 2 0 < 1 GeV 2 ). These are compared with 'standard' NNLO distributions generated from positive input distributions at some fixed and higher resolution scale (Q 2 0 > 1 GeV 2 ). Although the NNLO corrections imply in both approaches an improved value of χ 2 , typically χ 2 NNLO 0.9χ 2 NLO , present DIS data are still not sufficiently accurate to distinguish between NLO results and the minute NNLO effects of a few percent, despite of the fact that the dynamical NNLO uncertainties are somewhat smaller than the NLO ones and both are, as expected, smaller than those of their 'standard' counterparts. The dynamical predictions for F L (x, Q 2 ) become perturbatively stable already at Q 2 = 2 − 3 GeV 2 where precision measurements could even delineate NNLO effects in the very small-x region. This is in contrast to the common 'standard' approach but NNLO/NLO differences are here less distinguishable due to the larger 1σ uncertainty bands. Within the dynamical approach we obtain α s (M 2 Z ) = 0.1124 ± 0.0020, whereas the somewhat less constrained 'standard' fit gives α s (M 2 Z ) = 0.1158 ± 0.0035.arXiv:0810.4274v2 [hep-ph]

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Section: Evolutions Of Parton Distributions and Structure Functionsmentioning

confidence: 87%

Dynamical next-to-next-to-leading order parton distributions

2009

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“…The O(α 3 s ) 3-loop corrections to F h L and first rudimentary contributions to F h 2 have been calculated recently [49][50][51] in the limit Q 2 m 2 . However these asymptotic results are neither applicable for our present investigations nor relevant for the majority of presently available data at lower values of Q 2 .…”

Section: Heavy Quark Contributions and Their Resummationmentioning

confidence: 99%

Dynamical parton distributions of the nucleon

Jimenez-Delgado¹

2009

Nuclear Physics B - Proceedings Supplements

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“…In order to consider every possible triangle in QFT we assign all possible values to the six invariants (p 2 1 , p 2 2 , p 2 3 , m 2 1 , m 2 2 , m 2 3 ), where p ℓ represents the external momenta and m are the masses of internal particles. If we consider only loops with at least one external leg off-shell, this gives a total of 101 triangles, out of which 72 are present in the Standard Model, as shown in table 7.…”

Section: Survey Of Triangles In Qftmentioning

confidence: 99%

Z-Sum approach to loop integrals using Taylor expansion

Rottmann¹,

Reina

2011

J. High Energ. Phys.

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Abstract:We study the applicability of the Z-Sum approach to multi-loop calculations with massive particles in perturbative quantum field theory. We systematically analyze the case of one-loop scalar integrals, which represent the building blocks of any higher-loop calculation. We focus in particular on triangle one-loop integrals and identify strengths and limitations of the Z-Sum approach, extending our results to the case of one-loop box integrals when appropriate. We conclude with the calculation of a specific physical example: the calculation of heavy-flavor corrections to deep-inelastic-scattering structure functions.

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Longitudinal heavy quark structure function FLQQ¯ in the region Q2≫

Cited by 128 publications

References 66 publications

Dynamical next-to-next-to-leading order parton distributions

Dynamical next-to-next-to-leading order parton distributions

Dynamical parton distributions of the nucleon

Z-Sum approach to loop integrals using Taylor expansion

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