Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connection of the virtual $\gamma^*p$ cross section of $ep$ deep
  inelastic scattering to real $\gamma p$ scattering, and the implications for
  $\nu N$ and $ep$ total cross sections   We show that it is possible to fit all of the HERA DIS (deep inelastic
scattering) data on $F_2^{\gamma p}$ at small values of Bjorken $x$, including
the data at {\em very low} $Q^2$, using a new model for $F_2^{\gamma p}$ which
both includes an asymptotic (high energy) part that satisfies a saturated
Froissart bound behavior, with a vector-dominance like mass factor in the
parameterization, and extends smoothly to $Q^2=0$. We require that the
corresponding part of the virtual $\gamma^* p$ cross section match the known
asymptotic part of the real $\gamma p$ cross section at $Q^2=0$, a cross
section which is determined by strong interactions and asymptotically satisfies
a saturated Froissart bound of the form $\alpha +\beta\ln s+\gamma\ln^2s$.
Using this model for the asymptotic part of $F_2^{\gamma p}$ plus a known
valence contribution, we fit the asymptotic high energy part of the HERA data
with $x\le 0.1$ and $W\ge 25$ GeV; the fit is excellent. We find that the mass
parameter in the fit lies in the region of the light vector mesons, somewhat
above the $\rho$ meson mass, and is compatible with vector dominance. We use
this fit to obtain accurate results for the high energy $ep$ and isoscalar $\nu
N$ total cross sections. Both cross sections obey an analytic expression of the
type $a +b \ln E +c \ln^2 E +d \ln^3 E$ at large energies $E$ of the incident
particle, reflecting the fact that the underlying strong interaction parts of
the $\gamma^*p$, $Z^*N$ and $W^*N$ cross sections satisfy the saturated
Froissart bound. Since approximately 50% of the $\nu N$ center of mass (cms)
energy is found in $W$---the cms energy of the strongly interacting
intermediate vector boson-nucleon system---a study of ultra-high-energy
neutrino-nucleon cross sections would allow us, for the first time, to explore
{\em strong interactions at incredibly high energies}.

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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat