Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subtractions for SCET Soft Functions   We present a method to calculate the soft function in Soft-Collinear
Effective Theory to NLO for N-jet events, defined with respect to arbitrarily
complicated observables and algorithms, using a subtraction-based method. We
show that at one loop the singularity structure of all observable/algorithm
combinations can be classified as one of two types. Type I jets include jets
defined with inclusive algorithms for which a jet shape is measured. Type II
jets include jets found with exclusive algorithms, as well as jets for which
only the direction and energy are measured. Cross sections that are inclusive
over a certain region of phase space, such as the forward region at a hadron
collider, are examples of Type II jets. We show that for a large class of
measurements the required subtractions are already known analytically,
including traditional jet shape measurements at hadron colliders. We
demonstrate our method by calculating the soft functions for the case of jets
defined in eta-phi space with an out-of-jet pT cut and a rapidity cut on the
jets, as well as for the case of 1-jettiness.

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The categories of this paper are: cs
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th