Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization for groomed jet substructure beyond the next-to-leading
  logarithm   Jet grooming algorithms are widely used in experimental analyses at hadron
colliders to remove contaminating radiation from within jets. While the
algorithms perform a great service to the experiments, their intricate
algorithmic structure and multiple parameters has frustrated precision
theoretic understanding. In this paper, we demonstrate that one particular
groomer called soft drop actually makes precision jet substructure easier. In
particular, we derive a factorization formula for a large class of soft drop
jet substructure observables, including jet mass. The essential observation
that allows for this factorization is that, without the soft wide-angle
radiation groomed by soft drop, all singular contributions are collinear. The
simplicity and universality of the collinear limit in QCD allows us to show
that to all orders, the normalized differential cross section has no
contributions from non-global logarithms. It is also independent of process, up
to the relative fraction of quark and gluon jets. In fact, soft drop allows us
to define this fraction precisely. The factorization theorem also explains why
soft drop observables are less sensitive to hadronization than their ungroomed
counterparts. Using the factorization theorem, we resum the soft drop jet mass
to next-to-next-to-leading logarithmic accuracy. This requires calculating some
clustering effects that are closely related to corresponding effects found in
jet veto calculations. We match our resummed calculation to fixed order results
for both $e^+e^-\to$ dijets and $pp\to Z+j$ events, producing the first jet
substructure predictions (groomed or ungroomed) to this accuracy for the LHC.

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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an