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Rapidity renormalized TMD soft and beam functions at two loops

Lübbert, Thomas; Oredsson, Joel LU and Stahlhofen, Maximilian (2016) In JHEP 03.
Abstract
We compute the transverse momentum dependent (TMD) soft function for the production of a color-neutral final state at the LHC within the rapidity renormalization group (RRG) framework to next-to-next-to-leading order (NNLO). We use this result to extract the universal renormalized TMD beam functions (aka TMDPDFs) in the same scheme and at the same order from known results in another scheme. We derive recurrence relations for the logarithmic structure of the soft and beam functions, which we use to cross check our calculation. We also explicitly confirm the non-Abelian exponentiation of the TMD soft function in the RRG framework at two loops. Our results provide the ingredients for resummed predictions of p⊥⊥-differential cross sections at... (More)
We compute the transverse momentum dependent (TMD) soft function for the production of a color-neutral final state at the LHC within the rapidity renormalization group (RRG) framework to next-to-next-to-leading order (NNLO). We use this result to extract the universal renormalized TMD beam functions (aka TMDPDFs) in the same scheme and at the same order from known results in another scheme. We derive recurrence relations for the logarithmic structure of the soft and beam functions, which we use to cross check our calculation. We also explicitly confirm the non-Abelian exponentiation of the TMD soft function in the RRG framework at two loops. Our results provide the ingredients for resummed predictions of p⊥⊥-differential cross sections at NNLL′ in the RRG formalism. The RRG provides a systematic framework to resum large (rapidity) logarithms through (R)RG evolution and assess the associated perturbative uncertainties. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
SCET, Resummation, Soft radiation, QCD
in
JHEP
volume
03
pages
37 pages
external identifiers
  • wos:000373232600002
  • scopus:85007607498
DOI
10.1007/JHEP03(2016)168
language
English
LU publication?
yes
id
547d9a0c-3072-4d5e-ab50-31c1372f850d
date added to LUP
2016-08-16 15:18:07
date last changed
2017-10-01 05:22:15
@article{547d9a0c-3072-4d5e-ab50-31c1372f850d,
  abstract     = {We compute the transverse momentum dependent (TMD) soft function for the production of a color-neutral final state at the LHC within the rapidity renormalization group (RRG) framework to next-to-next-to-leading order (NNLO). We use this result to extract the universal renormalized TMD beam functions (aka TMDPDFs) in the same scheme and at the same order from known results in another scheme. We derive recurrence relations for the logarithmic structure of the soft and beam functions, which we use to cross check our calculation. We also explicitly confirm the non-Abelian exponentiation of the TMD soft function in the RRG framework at two loops. Our results provide the ingredients for resummed predictions of p⊥⊥-differential cross sections at NNLL′ in the RRG formalism. The RRG provides a systematic framework to resum large (rapidity) logarithms through (R)RG evolution and assess the associated perturbative uncertainties.},
  articleno    = {168},
  author       = {Lübbert, Thomas and Oredsson, Joel and Stahlhofen, Maximilian},
  keyword      = {SCET,Resummation,Soft radiation,QCD},
  language     = {eng},
  pages        = {37},
  series       = {JHEP},
  title        = {Rapidity renormalized TMD soft and beam functions at two loops},
  url          = {http://dx.doi.org/10.1007/JHEP03(2016)168},
  volume       = {03},
  year         = {2016},
}