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Title: Threshold resummation in momentum space from effective field theory

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Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
OSTI Identifier:
Report Number(s):
arXiv eprint number hep-ph/0605050
DOE Contract Number:
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys.Rev.Lett.97:082001,2006
Country of Publication:
United States

Citation Formats

Becher, Thomas, /Fermilab, Neubert, Matthias, and /Cornell U., CIHEP. Threshold resummation in momentum space from effective field theory. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.97.082001.
Becher, Thomas, /Fermilab, Neubert, Matthias, & /Cornell U., CIHEP. Threshold resummation in momentum space from effective field theory. United States. doi:10.1103/PhysRevLett.97.082001.
Becher, Thomas, /Fermilab, Neubert, Matthias, and /Cornell U., CIHEP. Mon . "Threshold resummation in momentum space from effective field theory". United States. doi:10.1103/PhysRevLett.97.082001.
title = {Threshold resummation in momentum space from effective field theory},
author = {Becher, Thomas and /Fermilab and Neubert, Matthias and /Cornell U., CIHEP},
abstractNote = {},
doi = {10.1103/PhysRevLett.97.082001},
journal = {Phys.Rev.Lett.97:082001,2006},
number = ,
volume = ,
place = {United States},
year = {Mon May 01 00:00:00 EDT 2006},
month = {Mon May 01 00:00:00 EDT 2006}
  • Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F{sub 2}(x,Q{sup 2}) in the end-point region x{yields}1 directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function C in the convolution F{sub 2}=C(multiply-in-circle sign){phi}{sub q} in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales Q{sup 2} and Q{sup 2}(1-x) are separated from nonperturbative hadronic physics in a transparent way. A crucial ingredient to the momentum-space resummation is the exact solution to the integro-differentialmore » evolution equation for the jet function, which is derived. The methods developed in this Letter can be applied to many other hard QCD processes.« less
  • We present an effective field theory approach to resum the large double logarithms originated from soft-gluon radiations at small final-state hadron invariant masses in Higgs and vector boson ({gamma}*,W,Z) production at hadron colliders. The approach is conceptually simple, independent of details of an effective field theory formulation, and valid to all orders in subleading logarithms. As an example, we show the result of summing the next-to-next-to-next-to leading logarithms is identical to that of the standard pQCD factorization method.
  • We consider Drell-Yan process in the threshold region z{yields}1 where large logarithms appear due to soft-gluon radiations. We present a soft-collinear effective theory approach to resum these Sudakov-type logarithms following an earlier treatment of deep-inelastic scattering, and the result is consistent with that obtained through a standard perturbative QCD factorization.
  • We present a universal formalism for transverse momentum resummation in the view of soft-collinear effective theory (SCET), and establish the relation between our SCET formula and the well known Collins-Soper-Sterman's pQCD formula at the next-to-leading logarithmic order (NLLO). We also briefly discuss the reformulation of joint resummation in SCET.
  • The resummed differential thrust rate in e{sup +}e{sup -} annihilation is calculated using soft-collinear effective theory (SCET). The resulting distribution in the two-jet region (T{approx}1) is found to agree with the corresponding expression derived by the standard approach. A matching procedure to account for finite corrections at T<1 is then described. There are two important advantages of the SCET approach. First, SCET manifests a dynamical seesaw scale q=p{sup 2}/Q in addition to the center-of-mass energy Q and the jet mass scale p{approx}Q{radical}((1-T)). Thus, the resummation of logs of p/q can be cleanly distinguished from the resummation of logs of Q/p.more » Second, finite parts of loop amplitudes appear in specific places in the perturbative distribution: in the matching to the hard function, at the scale Q, in matching to the jet function, at the scale p, and in matching to the soft function, at the scale q. This allows for a consistent merger of fixed order corrections and resummation. In particular, the total NLO e{sup +}e{sup -} cross section is reproduced from these finite parts without having to perform additional infrared regulation.« less