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Subleading power factorization with radiative functions

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
+ Show Author Affiliations
The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. Here, the use of SCET enables us to determine the complete set of radiative functions that appear to O(λ2) in the power expansion, to all orders in αs. For the particular case of event shape observables in e+e– → dijets we derive how the radiative functions contribute to the factorized cross section to O(λ2).
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-05CH11231; SC0011090
OSTI ID:
1635602
Alternate ID(s):
OSTI ID: 1658921
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (6)

TMD fragmentation functions at N3LO journal July 2021
Collinear expansion for color singlet cross sections journal September 2020
Resummation of double logarithms in loop-induced processes with effective field theory preprint January 2019
N-jettiness beam functions at N3LO text January 2020
Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution text January 2020
Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power text January 2021

Figures / Tables (9)

Figure 1(p. 4)figure Figure 1
Figure 2(p. 6)figure Figure 2
Table 1(p. 9)table Table 1
Figure 3(p. 27)figure Figure 3
Figure 4(p. 31)figure Figure 4
Table 2(p. 33)table Table 2
Table 3(p. 61)table Table 3
Table 4(p. 62)table Table 4
Table 5(p. 63)table Table 5

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