Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $N_F$-Dependent VFNS for Heavy Flavors: Merging the FFNS and VFNS   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 explicit dependence on number of active flavors $N_F$ in both the
Parton Distribution Functions (PDFs) and the strong coupling constant
$\alpha_{S}$. This results in sets of coexisting PDFs and $\alpha_{S}$ for
$N_F=\{3,4,5,6\}$, that are related analytically by the $\overline{\rm MS}$
matching conditions. The H-VFNS resums the heavy quark contributions and
provides the freedom to choose the optimal $N_F$ for each particular data set.
Thus, we can fit selected HERA data in a FFNS framework, while retaining the
benefits of the VFNS to analyze LHC data at high scales. We illustrate how such
a fit can be implemented for the case of both HERA and LHC data.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga