On the equivalence of soft and zero-bin subtractions

@article{Idilbi2007OnTE,
  title={On the equivalence of soft and zero-bin subtractions},
  author={Thomas Mehen Ahmad Idilbi},
  journal={Physical Review D},
  year={2007},
  volume={75},
  pages={114017}
}
Zero-bin subtractions are required to avoid double counting soft contributions in collinear loop integrals in soft-collinear effective theory (SCET). In traditional approaches to factorization, double counting is avoided by dividing jet functions by matrix elements of soft Wilson lines. In this paper, we compare the two approaches to double counting, studying the quark form factor and deep inelastic scattering (DIS) as ${x}_{B}\ensuremath{\rightarrow}1$ as examples. We explain how the zero-bin… 

Figures from this paper

Soft-Collinear Factorization and Zero-Bin Subtractions
We study the Sudakov form factor for a spontaneously broken gauge theory using a (new) {delta}-regulator. To be well defined, the effective theory requires zero-bin subtractions for the collinear
Removing phase-space restrictions in factorized cross sections
Factorization in gauge theories holds at the amplitude or amplitude-squared level for states of given soft or collinear momenta. When performing phase-space integrals over such states, one would
Two-loop massive quark jet functions in SCET
Abstract We calculate the O( $$ {\alpha}_s^2 $$ α s 2 ) corrections to the primary massive quark jet functions in Soft-Collinear Effective Theory (SCET). They are an important
Factorizing the hard and soft spectator scattering contributions for the nucleon form factor F1 at large Q2
  • N. Kivel
  • Computer Science, Mathematics
  • 2012
TLDR
It is concluded that a consistent description of the factorization for F1 implies the end-point collinear divergencies in the hard and soft spectator contributions, i.e. convolution integrals with respect to collinoid fractions are not well defined.
Comparing and counting logs in direct and effective methods of QCD resummation
A bstractWe compare methods to resum logarithms in event shape distributions as they have been used in perturbative QCD directly and in effective field theory. We demonstrate that they are
Effective predictions of event shapes: factorized, resummed and gapped angularity distributions
Using soft-collinear effective theory (SCET), which provides a unified framework for factorization, resummation of logarithms, and incorporation of universal nonperturbative functions in
An effective field theory for forward scattering and factorization violation
A bstractStarting with QCD, we derive an effective field theory description for forward scattering and factorization violation as part of the soft-collinear effective field theory (SCET) for high
Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
Previous work on electroweak radiative corrections to high-energy scattering using soft-collinear effective theory (SCET) has been extended to include external transverse and longitudinal gauge
Factorization of Power Corrections in the Drell-Yan Process in EFT
We examine the quark-induced Drell-Yan process at next-to-leading power (NLP) in Soft-Collinear Effective Theory. Using an approach with no explicit soft or collinear modes, we discuss the
...
...

References

SHOWING 1-10 OF 39 REFERENCES
Deep inelastic scattering as x ---> 1 using soft collinear effective theory
Soft-collinear effective theory (SCET) is used to sum Sudakov double logarithms in the $\stackrel{\ensuremath{\rightarrow}}{x}1$ end point region for the deep inelastic scattering structure function.
Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x {yields}
Resummation of large endpoint corrections to color-octet J/ψ photoproduction
An unresolved problem in $J/\ensuremath{\psi}$ phenomenology is a systematic understanding of the differential photoproduction cross section,
An Effective field theory for collinear and soft gluons: Heavy to light decays
We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse
Deep inelastic scattering near the endpoint in soft-collinear effective theory
We apply the soft-collinear effective theory to deep inelastic scattering near the endpoint region. The forward scattering amplitude and the structure functions are shown to factorize as a
Hard scattering factorization from effective field theory
In this paper we show how gauge symmetries in an effective theory can be used to simplify proofs of factorization formulas in highly energetic hadronic processes. We use the soft-collinear effective
Soft collinear factorization in effective field theory
The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic
Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory
The distributions of two-jet event shapes contain information on hadronization in QCD. Near the two-jet limit, these distributions can be described by convolutions of nonperturbative event shape
...
...