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The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production
A bstract We introduce a new kind of jet function: the semi-inclusive jet function J i ( z, ω J , μ ), which describes how a parton i is transformed into a jet with a jet radius R and energy fraction z = ω J /ω , with ω J and ω being the large light-cone momentum component of the jet and the corresp...
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Published in: | The journal of high energy physics 2016-10, Vol.2016 (10), p.1-35, Article 125 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | A
bstract
We introduce a new kind of jet function: the semi-inclusive jet function
J
i
(
z, ω
J
, μ
), which describes how a parton
i
is transformed into a jet with a jet radius
R
and energy fraction
z
=
ω
J
/ω
, with
ω
J
and
ω
being the large light-cone momentum component of the jet and the corresponding parton
i
that initiates the jet, respectively. Within the framework of Soft Collinear Effective Theory (SCET) we calculate both
J
q
(
z, ω
J
, μ
) and
J
g
(
z, ω
J
, μ
) to the next-to-leading order (NLO) for cone and anti-k
T
algorithms. We demonstrate that the renormalization group (RG) equations for
J
i
(
z, ω
J
, μ
) follow exactly the usual DGLAP evolution, which can be used to perform the ln
R
resummation for
inclusive
jet cross sections with a small jet radius
R
. We clarify the difference between our RG equations for
J
i
(
z, ω
J
, μ
) and those for the so-called unmeasured jet functions
J
i
(
ω
J
, μ
), widely used in SCET for
exclusive
jet production. Finally, we present applications of the new semi-inclusive jet functions to inclusive jet production in
e
+
e
−
and
pp
collisions. We demonstrate that single inclusive jet production in these collisions shares the same short-distance hard functions as single inclusive hadron production, with only the fragmentation functions
D
i
h
(
z
,
μ
) replaced by
J
i
(
z, ω
J
, μ
). This can facilitate more efficient higher-order analytical computations of jet cross sections. We further match our ln
R
resummation at both LL
R
and NLL
R
to fixed NLO results and present the phenomenological implications for single inclusive jet production at the LHC. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP10(2016)125 |