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At NNLO it is particularly important to have a Variable-Flavour Number Scheme (VFNS) to deal with heavy quarks because there are major problems with both the zero mass variable-flavour number scheme and the fixed-flavour number scheme. I…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Thorne

I review the various methods for taking account of finite quark masses in DIS and related processes. I pay particular attention to the so-called variable flavour number schemes (VFNS) which are designed to extrapolate smoothly from the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Thorne

We consider a detailed account on the construction of the heavy-quark parton distribution functions for charm and bottom, starting from $n_f=3$ light flavors in the fixed-flavor number (FFN) scheme and by using the standard decoupling…

High Energy Physics - Phenomenology · Physics 2020-09-23 S. Alekhin , J. Bluemlein , S. Moch

We introduce a Hybrid Variable Flavor Number Scheme (H-VFNS) for heavy flavors, which incorporates the advantages of both the traditional Variable Flavor Number Scheme (VFNS) as well as the Fixed Flavor Number Scheme (FFNS). We include an…

High Energy Physics - Phenomenology · Physics 2013-12-13 A. Kusina , F. I. Olness , I. Schienbein , T. Jezo , K. Kovarik , T. Stavreva , J. Y. Yu

We introduce a Hybrid Variable Flavor Number Scheme for heavy flavors, denoted H-VFNS, which incorporates the advantages of both the traditional Variable Flavor Number Scheme (VFNS) as well as the Fixed Flavor Number Scheme (FFNS). By…

High Energy Physics - Phenomenology · Physics 2013-11-22 A. Kusina , F. I. Olness , I. Schienbein , T. Jezo , K. Kovarik , T. Stavreva , J. Y. Yu

Starting from fixed-order perturbation theory (FOPT) we derive expressions for the heavy-flavour components of the deep-inelastic structure functions FL and F2 in the variable-flavour number scheme (VFNS). These expressions are valid in all…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Buza , Y. Matiounine , J. Smith , W. L. van Neerven

Where appropriate, the abbreviation 'VFNS' is replaced by 'CSN' to indicate the scheme using massive heavy quark coefficient functions proposed in this paper. The text below Eq. (2.13) and between Eqs. (2.33) and (2.36) has been…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Chuvakin , J. Smith , W. L. van Neerven

In order to successfully describe DIS data, one must take heavy quark mass effects into account. This is often achieved using so called variable flavour number schemes, in which a parton distribution for the heavy quark species is defined…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. D. White

We check the impact of the factorization scheme employed in the calculation of the heavy-quark deep-inelastic scattering (DIS) electro-production on the PDFs determined in the NNLO QCD analysis of the world inclusive neutral-current DIS…

High Energy Physics - Phenomenology · Physics 2009-08-24 S. Alekhin , J. Blümlein , S. Klein , S. Moch

I present a formulation of a Variable Flavour Number Scheme for heavy quarks that is implemented up to NNLO in the strong coupling constant and may be used in NNLO global fits for parton distributions.

High Energy Physics - Phenomenology · Physics 2009-11-11 R. S. Thorne

We discuss a variable flavor number scheme (VFNS) for final state jets which can account for the effects of arbitrary finite quark masses in inclusive jet observables. The scheme is a generalization of the VFNS scheme for PDFs applied to…

High Energy Physics - Phenomenology · Physics 2015-01-05 Andre H. Hoang , Piotr Pietrulewicz , Daniel Samitz

We compare `fixed flavor number scheme' (FFNS) and `variable flavor number scheme' (VFNS) parton model predictions at high energy colliders. Based on our recent LO- and NLO-FFNS dynamical parton distributions, we generate radiatively two…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Glück , P. Jimenez-Delgado , E. Reya , C. Schuck

We define a new variable flavour number scheme for use in deep inelastic scattering, motivated by the need to consistently implement high energy resummations alongside a fixed order QCD expansion. We define the DIS(chi) scheme at fixed…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. White , R. S. Thorne

We critically review heavy quark mass effects in DIS and their impact on global analyses. We lay out all elements of a properly defined general mass variable flavor number scheme (GM VFNS) that are shared by all modern formulations of the…

High Energy Physics - Phenomenology · Physics 2009-01-21 R. S. Thorne , W. K. Tung

We present our QCD analysis of the proton structure function $F_2^p(x,Q^2)$ to determine the parton distributions at the next-to-leading order (NLO). The heavy quark contributions to $F_2^i(x,Q^2)$, with $i$ = $c$, $b$ have been included in…

High Energy Physics - Phenomenology · Physics 2015-06-05 H. Khanpour , Ali N. Khorramian , S. Atashbar Tehrani

We calculate the $O(\alpha_s^2)$ gluonic operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$, up to the linear…

High Energy Physics - Phenomenology · Physics 2009-11-19 I. Bierenbaum , J. Blümlein , S. Klein

We compare different schemes for the treatment of heavy quark production in Deep-Inelastic Scattering (DIS). For fully-integrated quantities such as $F_{2}(x,Q^{2})$, we advocate the use of the General-Massive Variable-Flavor-Number…

High Energy Physics - Phenomenology · Physics 2009-10-30 Carl R. Schmidt

I consider variations in the definitions, at next-to-leading order (NLO) and at next-to-next-to leading order (NNLO), of a General-Mass Variable Flavour Number Scheme (GM-VFNS) for heavy flavour structure functions. I also define a new…

High Energy Physics - Phenomenology · Physics 2012-11-12 R. S. Thorne

We compare the results of the fixed-flavor scheme calculation of Laenen, Riemersma, Smith and van Neerven with the variable-flavor scheme calculation of Aivazis, Collins, Olness and Tung for the case of neutral-current (photon-mediated)…

High Energy Physics - Phenomenology · Physics 2011-01-25 Fredrick I. Olness , Stephan T. Riemersma

We compare the results of the fixed-flavor scheme calculation of Laenen, Riemersma, Smith and van Neerven with the variable-flavor scheme calculation of Aivazis, Collins, Olness and Tung for neutral-current (photon-mediated) heavy-flavor…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fredrick I. Olness , Stephan T. Riemersma
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