A complete basis of helicity operators for subleading factorization

Feige, Ilya; Kolodrubetz, Daniel W.; Moult, Ian; Stewart, Iain W.

doi:10.1007/jhep11(2017)142

Title: A complete basis of helicity operators for subleading factorization

Abstract

Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e⁺e^- → dijets, e^-p → e^- jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e⁺e^- → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.

Authors:

Feige, Ilya ^[1]; Kolodrubetz, Daniel W. ^[2]; Moult, Ian ^[3]; Stewart, Iain W. ^[2]

Harvard Univ., Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: Wed Nov 22 00:00:00 EST 2017

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1485067

Grant/Contract Number:: AC02-05CH11231; SCD011090

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Jets; QCD Phenomenology

Citation Formats


                    Feige, Ilya, Kolodrubetz, Daniel W., Moult, Ian, and Stewart, Iain W. A complete basis of helicity operators for subleading factorization.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep11(2017)142.

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                    Feige, Ilya, Kolodrubetz, Daniel W., Moult, Ian, & Stewart, Iain W. A complete basis of helicity operators for subleading factorization.  United States.  https://doi.org/10.1007/jhep11(2017)142

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                    Feige, Ilya, Kolodrubetz, Daniel W., Moult, Ian, and Stewart, Iain W. Wed .  
"A complete basis of helicity operators for subleading factorization".  United States.  https://doi.org/10.1007/jhep11(2017)142.  https://www.osti.gov/servlets/purl/1485067.

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@article{osti_1485067,

  title        = {A complete basis of helicity operators for subleading factorization},

  author       = {Feige, Ilya and Kolodrubetz, Daniel W. and Moult, Ian and Stewart, Iain W.},

  abstractNote = {Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e+e- → dijets, e-p → e- jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e+e- → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.},

  doi          = {10.1007/jhep11(2017)142},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2017,

  place        = {United States},

  year         = {Wed Nov 22 00:00:00 EST 2017},

  month        = {Wed Nov 22 00:00:00 EST 2017}

}

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Figure 1: Examples of the contributions to thrust, τ , in the dijet limit, at leading power in (a) and (b), and subleading power in (c) and (d). There is an extra collinear gluon in (a) from splitting, and in (b) there is an extra gluon from soft emission. Inmore »

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Factorization for power corrections to and journal, August 2005

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Soft-collinear factorization in effective field theory journal, February 2002

Subleading Shape Functions in Inclusive B Decays journal, November 2004

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Power corrections to event shapes and factorization
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Evanescent operators, scheme dependences and double insertions
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QCD Factorization for $B \to π π$ Decays: Strong Phases and $CP$ Violation in the Heavy Quark Limit
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Power corrections to event shape distributions
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Jets and quantum field theory
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$N$ Jettiness: An Inclusive Event Shape to Veto Jets
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Revisiting parton evolution and the large-x limit
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text, January 1991

Penguin enhancement and $\vec{B} K π$ decays in perturbative QCD
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QCD corrections to the nucleon's spin structure function g2(x, Q2)
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Invariant operators in collinear effective theory
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Soft gluons and factorization
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Scale dependence of twist-three contributions to single spin asymmetries
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Selection Rules for the Dematerialization of a Particle into Two Photons
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Factorization for short distance hadron-hadron scattering
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Hard scattering factorization from effective field theory
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Color-singlet production at NNLO in MCFM
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N-jettiness subtractions for NNLO QCD calculations
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Nonperturbative corrections in resummed cross sections
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One-loop amplitudes for e+e− to four partons
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Transverse spin and higher twist in QCD
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Non-abelian factorisation for next-to-leading-power threshold logarithms
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An effective field theory for collinear and soft gluons: Heavy to light decays
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Power corrections and nonlocal operators
conference, January 1997

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Quantum Chromodynamics Test for Jets
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Non-abelian factorisation for next-to-leading-power threshold logarithms
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Evolution equations for QCD string operators
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Diagrammatic insights into next-to-soft corrections
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Power corrections to the parton model in QCD
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Operator product expansion for inclusive semileptonic decays in heavy quark effective field theory
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Factorization Of Hard Processes In QCD
book, July 1989

SCET approach to regularization-scheme dependence of QCD amplitudes
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Comment on quark masses in SCET
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Soft-collinear effective theory and heavy-to-light currents beyond leading power
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Heavy quarkonium: progress, puzzles, and opportunities
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Designing gapped soft functions for jet production
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The method of regions and next-to-soft corrections in Drell–Yan production
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Power corrections in hadronic scattering (II). Factorization
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Factorization for power corrections to and
journal, August 2005

Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions
journal, May 1958

Scale dependence of twist-three contributions to single spin asymmetries
text, January 2009

Soft-collinear factorization in effective field theory
journal, February 2002

Subleading Shape Functions in Inclusive B Decays
journal, November 2004

Power corrections to bar B→ X _u ellbar nu ( X _s γ) decay spectra in the ``shape-function'' region
journal, June 2005

Erratum to: “Three-parton contributions to $B \to M_{1} M_{2}$ annihilation at leading order” [Phys. Lett. B 647 (2007) 405]
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On power corrections to the event shape distributions in QCD
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Scaling rule for nonperturbative radiation in a class of event shapes
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Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
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Loop Corrections to Heavy-to-Light Form Factors and Evanescent Operators in SCET
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$W$ -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD
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