Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soft and Collinear Radiation and Factorization in Perturbation Theory
  and Beyond   Power corrections to differential cross sections near a kinematic threshold
are analysed by Dressed Gluon Exponentiation. Exploiting the factorization
property of soft and collinear radiation, the dominant radiative corrections in
the threshold region are resummed, yielding a renormalization-scale-invariant
expression for the Sudakov exponent. The interplay between Sudakov logs and
renormalons is clarified, and the necessity to resum the latter whenever power
corrections are non-negligible is emphasized. The presence of power-suppressed
ambiguities in the exponentiation kernel suggests that power corrections
exponentiate as well. This leads to a non-perturbative factorization formula
with non-trivial predictions on the structure of power corrections, which can
be contrasted with the OPE. Two examples are discussed. The first is
event-shape distributions in the two-jet region, where a wealth of precise data
provides a strong motivation for the improved perturbative technique and an
ideal situation to study hadronization. The second example is deep inelastic
structure functions. In contrast to event shapes, structure functions have an
OPE. However, since the OPE breaks down at large x, it does not provide a
practical framework for the parametrization of power corrections. Performing a
detailed analysis of twist 4 it is shown precisely how the twist-2 renormalon
ambiguity eventually cancels out. This analysis provides a physical picture
which substantiates the non-perturbative factorization conjecture.

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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas