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Transverse momentum dependent fragmentation function at next-to-next-to-leading order

Echevarria, Miguel; Scimemi, Ignazio and Vladimirov, Alexey LU (2016) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 93(1).
Abstract
We calculate the unpolarized transverse momentum dependent fragmentation function at next-to-next-to-leading order, evaluating separately the transverse momentum dependent (TMD) soft factor and the TMD collinear correlator. For the first time, the cancellation of spurious rapidity divergences in a properly defined individual TMD beyond the first nontrivial order is shown. This represents a strong check of the given TMD definition. We extract the matching coefficient necessary to perform the transverse momentum resummation at next-to-next-to-next-to-leading-logarithmic accuracy. The universal character of the soft function, which enters the definition of all (un)polarized TMD distribution/fragmentation functions, facilitates the future... (More)
We calculate the unpolarized transverse momentum dependent fragmentation function at next-to-next-to-leading order, evaluating separately the transverse momentum dependent (TMD) soft factor and the TMD collinear correlator. For the first time, the cancellation of spurious rapidity divergences in a properly defined individual TMD beyond the first nontrivial order is shown. This represents a strong check of the given TMD definition. We extract the matching coefficient necessary to perform the transverse momentum resummation at next-to-next-to-next-to-leading-logarithmic accuracy. The universal character of the soft function, which enters the definition of all (un)polarized TMD distribution/fragmentation functions, facilitates the future calculation of all the other TMDs and their coefficients at next-to-next-to-leading order, pushing forward the accuracy of theoretical predictions for the current and next generation of high energy colliders. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D (Particles, Fields, Gravitation and Cosmology)
volume
93
issue
1
publisher
American Physical Society
external identifiers
  • wos:000368516100001
  • scopus:84955513569
ISSN
1550-2368
DOI
10.1103/PhysRevD.93.011502
language
English
LU publication?
yes
id
9cb0ceae-68ef-40b0-833a-73e00375e685 (old id 8731964)
date added to LUP
2016-02-26 14:25:19
date last changed
2017-08-06 03:02:32
@article{9cb0ceae-68ef-40b0-833a-73e00375e685,
  abstract     = {We calculate the unpolarized transverse momentum dependent fragmentation function at next-to-next-to-leading order, evaluating separately the transverse momentum dependent (TMD) soft factor and the TMD collinear correlator. For the first time, the cancellation of spurious rapidity divergences in a properly defined individual TMD beyond the first nontrivial order is shown. This represents a strong check of the given TMD definition. We extract the matching coefficient necessary to perform the transverse momentum resummation at next-to-next-to-next-to-leading-logarithmic accuracy. The universal character of the soft function, which enters the definition of all (un)polarized TMD distribution/fragmentation functions, facilitates the future calculation of all the other TMDs and their coefficients at next-to-next-to-leading order, pushing forward the accuracy of theoretical predictions for the current and next generation of high energy colliders.},
  articleno    = {011502},
  author       = {Echevarria, Miguel and Scimemi, Ignazio and Vladimirov, Alexey},
  issn         = {1550-2368},
  language     = {eng},
  number       = {1},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles, Fields, Gravitation and Cosmology)},
  title        = {Transverse momentum dependent fragmentation function at next-to-next-to-leading order},
  url          = {http://dx.doi.org/10.1103/PhysRevD.93.011502},
  volume       = {93},
  year         = {2016},
}