The Evolution of Soft Collinear Effective Theory

Lee, Christopher

doi:10.1142/S2010194515600459

Title: The Evolution of Soft Collinear Effective Theory

Abstract

Soft Collinear Effective Theory (SCET) is an effective field theory of Quantum Chromodynamics (QCD) for processes where there are energetic, nearly lightlike degrees of freedom interacting with one another via soft radiation. SCET has found many applications in high-energy and nuclear physics, especially in recent years the physics of hadronic jets in e⁺e^-, lepton-hadron, hadron-hadron, and heavy-ion collisions. SCET can be used to factorize multi-scale cross sections in these processes into single-scale hard, collinear, and soft functions, and to evolve these through the renormalization group to resum large logarithms of ratios of the scales that appear in the QCD perturbative expansion, as well as to study properties of nonperturbative effects. We overview the elementary concepts of SCET and describe how they can be applied in high-energy and nuclear physics.

Authors:

Lee, Christopher ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Feb 25 00:00:00 EST 2015

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1215525

Report Number(s):: LA-UR-14-28033
Journal ID: ISSN 2010-1945; TRN: US1500718

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: International Journal of Modern Physics: Conference Series

Additional Journal Information:: Journal Volume: 37; Conference: QCD Evolution Workshop 2014; May 12-16, 2014; Santa Fe, NM, United States; Journal ID: ISSN 2010-1945

Publisher:: World Scientific

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD; effective field theory; SCET; factorization; resummation; jets

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                    Lee, Christopher. The Evolution of Soft Collinear Effective Theory.  United States: N. p., 2015. 
Web.  doi:10.1142/S2010194515600459.

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                    Lee, Christopher. The Evolution of Soft Collinear Effective Theory.  United States.  https://doi.org/10.1142/S2010194515600459

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                    Lee, Christopher. Wed .  
"The Evolution of Soft Collinear Effective Theory".  United States.  https://doi.org/10.1142/S2010194515600459.  https://www.osti.gov/servlets/purl/1215525.

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@article{osti_1215525,

  title        = {The Evolution of Soft Collinear Effective Theory},

  author       = {Lee, Christopher},

  abstractNote = {Soft Collinear Effective Theory (SCET) is an effective field theory of Quantum Chromodynamics (QCD) for processes where there are energetic, nearly lightlike degrees of freedom interacting with one another via soft radiation. SCET has found many applications in high-energy and nuclear physics, especially in recent years the physics of hadronic jets in e+e-, lepton-hadron, hadron-hadron, and heavy-ion collisions. SCET can be used to factorize multi-scale cross sections in these processes into single-scale hard, collinear, and soft functions, and to evolve these through the renormalization group to resum large logarithms of ratios of the scales that appear in the QCD perturbative expansion, as well as to study properties of nonperturbative effects. We overview the elementary concepts of SCET and describe how they can be applied in high-energy and nuclear physics.},

  doi          = {10.1142/S2010194515600459},

  journal      = {International Journal of Modern Physics: Conference Series},

  number       = ,

  volume       = 37,

  place        = {United States},

  year         = {Wed Feb 25 00:00:00 EST 2015},

  month        = {Wed Feb 25 00:00:00 EST 2015}

}

Copy to clipboard

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Works referencing / citing this record:

SCET approach to regularization-scheme dependence of QCD amplitudes
text, January 2016

Broggio, A.; Gnendiger, C.; Signer, A.
Springer
DOI: 10.5167/uzh-121777

SCET approach to regularization-scheme dependence of QCD amplitudes
text, January 2015

Broggio, A.; Gnendiger, Ch.; Signer, A.
arXiv
DOI: 10.48550/arxiv.1506.05301

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Title: The Evolution of Soft Collinear Effective Theory

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Hard scattering factorization from effective field theory journal, July 2002

A precise determination of α s from LEP thrust data using effective field theory journal, July 2008

Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory journal, January 2007

Power corrections to event shapes with mass-dependent operators journal, January 2013

Resummation of heavy jet mass and comparison to LEP data journal, August 2010

Thrust at N 3 LL with power corrections and a precision global fit for α s ( m Z ) journal, April 2011

Power counting in the soft-collinear effective theory journal, September 2002

Power suppressed operators and gauge invariance in soft-collinear effective theory journal, August 2003

Rapidity Renormalization Group journal, April 2012

A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory journal, May 2012

Extending soft collinear effective theory to describe hard jets in dense QCD media journal, September 2009

Transverse momentum broadening and the jet quenching parameter, redux journal, September 2011

An effective theory for jet propagation in dense QCD matter: jet broadening and medium-induced bremsstrahlung journal, June 2011

An effective field theory for the calculation of matrix elements involving heavy quarks journal, January 1990

An effective field theory for heavy quarks at low energies journal, April 1990

The static quark effective theory journal, July 1990

Weak decays of heavy mesons in the static quark approximation journal, November 1989

Reparameterization invariance for collinear operators journal, July 2002

The zero-bin and mode factorization in quantum field theory journal, October 2007

Event shape–energy flow correlations journal, July 2003

Soft-collinear effective theory and heavy-to-light currents beyond leading power journal, November 2002

Collinear effective theory at subleading order and its application to heavy-light currents journal, June 2002

Complete basis for power suppressed collinear-ultrasoft operators journal, May 2003

Soft collinear effective theory, QCD, and Wilson lines journal, January 2012

An on-shell approach to factorization journal, September 2013

Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly journal, June 2011

Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone journal, July 2012

Soft and collinear factorization and transverse momentum dependent parton distribution functions journal, November 2013

Resummation of thrust distributions in DIS journal, February 2000

N Jettiness: An Inclusive Event Shape to Veto Jets journal, August 2010

Probing nuclear dynamics in jet production with a global event shape journal, October 2013

Factorization at the LHC: From parton distribution functions to initial state jets journal, May 2010

Enhanced nonperturbative effects in Z decays to hadrons journal, August 2004

Deep inelastic scattering as x → 1 using soft-collinear effective theory journal, December 2003

Shape function effects in B → X s γ and B → X u l ν ¯ decays journal, August 2004

Treating the b quark distribution function with reliable uncertainties journal, December 2008

Factorization and momentum-space resummation in deep-inelastic scattering journal, January 2007

Factorization and resummation of Higgs boson differential distributions in soft-collinear effective theory journal, May 2010

The quark beam function at NNLL journal, September 2010

Fully-unintegrated parton distribution and fragmentation functions at perturbative k⊥ journal, April 2012

The gluon beam function at two loops journal, August 2014

The quark beam function at two loops journal, April 2014

Constraint equations for heavy-to-light currents in soft-collinear effective theory journal, December 2005

Soft Wilson lines in the soft-collinear effective theory journal, March 2005

Top jets in the peak region: Factorization analysis with next-to-leading-log resummation journal, June 2008

The two-loop hemisphere soft function journal, August 2011

Two-loop soft corrections and resummation of the thrust distribution in the dijet region journal, August 2011

Non-global structure of the $ \mathcal{O}\left( {\alpha_s^2} \right) $ dijet soft function journal, August 2011

Precision Jet Substructure from Boosted Event Shapes journal, August 2012

Factorization of e + e − event shape distributions with hadronic final states in soft collinear effective theory journal, August 2008

Quantum Chromodynamics Test for Jets journal, December 1977

Beam Thrust Cross Section for Drell-Yan Production at Next-to-Next-to-Leading-Logarithmic Order journal, January 2011

Resummation of large logarithms in e+e− event shape distributions journal, October 1993

Comparing and counting logs in direct and effective methods of QCD resummation journal, April 2014

Jets and quantum field theory journal, August 1996

Energy flow in QCD and event shape functions journal, August 2001

Scaling rule for nonperturbative radiation in a class of event shapes journal, September 2003

Effective predictions of event shapes: factorized, resummed and gapped angularity distributions journal, May 2009

Power corrections to event shape distributions journal, July 1997

On the universality of the Milan factor for 1/ Q power corrections to jet shapes journal, May 1998

Jet shapes and jet algorithms in SCET journal, November 2010

Factorization and resummation for jet broadening journal, October 2011

Soft partons in QCD journal, July 1981

All-order factorization for Drell-Yan cross sections journal, January 1984

Factorization for short distance hadron-hadron scattering journal, January 1985

Soft gluons and factorization journal, October 1988

On Glauber modes in soft-collinear effective theory journal, July 2011

Regge kinematics in soft collinear effective theory journal, June 2010

The role of Glauber exchange in soft collinear effective theory and the Balitsky–Fadin–Kuraev–Lipatov Equation journal, July 2014

Glauber gluons and multiple parton interactions journal, July 2014

SCET approach to regularization-scheme dependence of QCD amplitudes text, January 2016

SCET approach to regularization-scheme dependence of QCD amplitudes text, January 2015

Phenomenological Lagrangians
journal, April 1979

Summing Sudakov logarithms in $\vec{B} X_{s} γ$ in effective field theory
journal, December 2000

An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001

Invariant operators in collinear effective theory
journal, September 2001

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

Hard scattering factorization from effective field theory
journal, July 2002

A precise determination of α _s from LEP thrust data using effective field theory
journal, July 2008

Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory
journal, January 2007

Power corrections to event shapes with mass-dependent operators
journal, January 2013

Resummation of heavy jet mass and comparison to LEP data
journal, August 2010

Thrust at $N^{3} LL$ with power corrections and a precision global fit for $α_{s} (m_{Z})$
journal, April 2011

Power counting in the soft-collinear effective theory
journal, September 2002

Power suppressed operators and gauge invariance in soft-collinear effective theory
journal, August 2003

Rapidity Renormalization Group
journal, April 2012

A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory
journal, May 2012

Extending soft collinear effective theory to describe hard jets in dense QCD media
journal, September 2009

Transverse momentum broadening and the jet quenching parameter, redux
journal, September 2011

An effective theory for jet propagation in dense QCD matter: jet broadening and medium-induced bremsstrahlung
journal, June 2011

An effective field theory for the calculation of matrix elements involving heavy quarks
journal, January 1990

An effective field theory for heavy quarks at low energies
journal, April 1990

The static quark effective theory
journal, July 1990

Weak decays of heavy mesons in the static quark approximation
journal, November 1989

Reparameterization invariance for collinear operators
journal, July 2002

The zero-bin and mode factorization in quantum field theory
journal, October 2007

Event shape–energy flow correlations
journal, July 2003

Soft-collinear effective theory and heavy-to-light currents beyond leading power
journal, November 2002

Collinear effective theory at subleading order and its application to heavy-light currents
journal, June 2002

Complete basis for power suppressed collinear-ultrasoft operators
journal, May 2003

Soft collinear effective theory, QCD, and Wilson lines
journal, January 2012

An on-shell approach to factorization
journal, September 2013

Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly
journal, June 2011

Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone
journal, July 2012

Soft and collinear factorization and transverse momentum dependent parton distribution functions
journal, November 2013

Resummation of thrust distributions in DIS
journal, February 2000

$N$ Jettiness: An Inclusive Event Shape to Veto Jets
journal, August 2010

Probing nuclear dynamics in jet production with a global event shape
journal, October 2013

Factorization at the LHC: From parton distribution functions to initial state jets
journal, May 2010

Enhanced nonperturbative effects in Z decays to hadrons
journal, August 2004

Deep inelastic scattering as $\vec{x} 1$ using soft-collinear effective theory
journal, December 2003

Shape function effects in $\vec{B} X_{s} γ$ and $\vec{B} X_{u} l \bar{ν}$ decays
journal, August 2004

Treating the $b$ quark distribution function with reliable uncertainties
journal, December 2008

Factorization and momentum-space resummation in deep-inelastic scattering
journal, January 2007

Factorization and resummation of Higgs boson differential distributions in soft-collinear effective theory
journal, May 2010

The quark beam function at NNLL
journal, September 2010

Fully-unintegrated parton distribution and fragmentation functions at perturbative k⊥
journal, April 2012

The gluon beam function at two loops
journal, August 2014

The quark beam function at two loops
journal, April 2014

Constraint equations for heavy-to-light currents in soft-collinear effective theory
journal, December 2005

Soft Wilson lines in the soft-collinear effective theory
journal, March 2005

Top jets in the peak region: Factorization analysis with next-to-leading-log resummation
journal, June 2008

The two-loop hemisphere soft function
journal, August 2011

Two-loop soft corrections and resummation of the thrust distribution in the dijet region
journal, August 2011

Non-global structure of the $ \mathcal{O}\left( {\alpha_s^2} \right) $ dijet soft function
journal, August 2011

Precision Jet Substructure from Boosted Event Shapes
journal, August 2012

Factorization of $e^{+} e^{-}$ event shape distributions with hadronic final states in soft collinear effective theory
journal, August 2008

Quantum Chromodynamics Test for Jets
journal, December 1977

Beam Thrust Cross Section for Drell-Yan Production at Next-to-Next-to-Leading-Logarithmic Order
journal, January 2011

Resummation of large logarithms in e+e− event shape distributions
journal, October 1993

Comparing and counting logs in direct and effective methods of QCD resummation
journal, April 2014

Jets and quantum field theory
journal, August 1996

Energy flow in QCD and event shape functions
journal, August 2001

Scaling rule for nonperturbative radiation in a class of event shapes
journal, September 2003

Effective predictions of event shapes: factorized, resummed and gapped angularity distributions
journal, May 2009

Power corrections to event shape distributions
journal, July 1997

On the universality of the Milan factor for 1/ Q power corrections to jet shapes
journal, May 1998

Jet shapes and jet algorithms in SCET
journal, November 2010

Factorization and resummation for jet broadening
journal, October 2011

Soft partons in QCD
journal, July 1981

All-order factorization for Drell-Yan cross sections
journal, January 1984

Factorization for short distance hadron-hadron scattering
journal, January 1985

Soft gluons and factorization
journal, October 1988

On Glauber modes in soft-collinear effective theory
journal, July 2011

Regge kinematics in soft collinear effective theory
journal, June 2010

The role of Glauber exchange in soft collinear effective theory and the Balitsky–Fadin–Kuraev–Lipatov Equation
journal, July 2014

Glauber gluons and multiple parton interactions
journal, July 2014

SCET approach to regularization-scheme dependence of QCD amplitudes
text, January 2016

SCET approach to regularization-scheme dependence of QCD amplitudes
text, January 2015