Integrated and differential accuracy in resummed cross sections

Bertolini, Daniele; Solon, Mikhail P.; Walsh, Jonathan R.

doi:10.1103/PhysRevD.95.054024

Title: Integrated and differential accuracy in resummed cross sections

Abstract

Standard QCD resummation techniques provide precise predictions for the spectrum and the cumulant of a given observable. The integrated spectrum and the cumulant differ by higher-order terms which, however, can be numerically significant. Here in this paper we propose a method, which we call the σ-improved scheme, to resolve this issue. It consists of two steps: (i) include higher-order terms in the spectrum to improve the agreement with the cumulant central value, and (ii) employ profile scales that encode correlations between different points to give robust uncertainty estimates for the integrated spectrum. We provide a generic algorithm for determining such profile scales, and show the application to the thrust distribution in e⁺e^- collisions at NLL'+NLO and NNLL'+NNLO.

Authors:

Bertolini, Daniele ^[1]; Solon, Mikhail P. ^[1]; Walsh, Jonathan R. ^[1]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics

Publication Date:: Thu Mar 30 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1430676

Alternate Identifier(s):: OSTI ID: 1349392

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bertolini, Daniele, Solon, Mikhail P., and Walsh, Jonathan R. Integrated and differential accuracy in resummed cross sections.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.95.054024.

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                    Bertolini, Daniele, Solon, Mikhail P., & Walsh, Jonathan R. Integrated and differential accuracy in resummed cross sections.  United States.  https://doi.org/10.1103/PhysRevD.95.054024

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                    Bertolini, Daniele, Solon, Mikhail P., and Walsh, Jonathan R. Thu .  
"Integrated and differential accuracy in resummed cross sections".  United States.  https://doi.org/10.1103/PhysRevD.95.054024.  https://www.osti.gov/servlets/purl/1430676.

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@article{osti_1430676,

  title        = {Integrated and differential accuracy in resummed cross sections},

  author       = {Bertolini, Daniele and Solon, Mikhail P. and Walsh, Jonathan R.},

  abstractNote = {Standard QCD resummation techniques provide precise predictions for the spectrum and the cumulant of a given observable. The integrated spectrum and the cumulant differ by higher-order terms which, however, can be numerically significant. Here in this paper we propose a method, which we call the σ-improved scheme, to resolve this issue. It consists of two steps: (i) include higher-order terms in the spectrum to improve the agreement with the cumulant central value, and (ii) employ profile scales that encode correlations between different points to give robust uncertainty estimates for the integrated spectrum. We provide a generic algorithm for determining such profile scales, and show the application to the thrust distribution in e+e- collisions at NLL'+NLO and NNLL'+NNLO.},

  doi          = {10.1103/PhysRevD.95.054024},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 95,

  place        = {United States},

  year         = {Thu Mar 30 00:00:00 EDT 2017},

  month        = {Thu Mar 30 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

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Stewart, Iain W.; Tackmann, Frank J.
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Works referencing / citing this record:

Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
text, January 2019

Lustermans, Gillian; Michel, Johannes; Tackmann, Frank J.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2019-00779

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Title: Integrated and differential accuracy in resummed cross sections

Abstract

Citation Formats

Theory uncertainties for Higgs mass and other searches using jet bins journal, February 2012

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

Invariant operators in collinear effective theory journal, September 2001

Power corrections to event shapes and factorization journal, August 1999

Summing Sudakov logarithms in B → X s γ in effective field theory journal, December 2000

C -parameter distribution at N 3 LL ′ including power corrections journal, May 2015

Fragmentation with a cut on thrust: Predictions for B factories journal, April 2013

Precise determination of α s from the C -parameter distribution journal, May 2015

Jet p T resummation in Higgs production at NNLL ′ + NNLO journal, March 2014

Next-to-leading-order uncertainties in Higgs + 2 jets from gluon fusion journal, May 2013

Resummation and NLO matching of event shapes with effective field theory journal, January 2008

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

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

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

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

Event shape–energy flow correlations journal, July 2003

Sudakov factorization and resummation journal, January 1997

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

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

The scale of soft resummation in SCET vs perturbative QCD journal, August 2013

Threshold resummation in SCET vs. perturbative QCD: An analytic comparison journal, August 2012

Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order journal, September 2013

Quantum Chromodynamics Test for Jets journal, December 1977

Secondary heavy quark production in jets through mass modes journal, August 2013

Designing gapped soft functions for jet production journal, March 2008

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

Quantifying comparisons of threshold resummations journal, May 2014

Factorization and resummation for dijet invariant mass spectra journal, April 2012

Reducing theoretical uncertainties for exclusive Higgs-boson plus one-jet production at the LHC journal, May 2013

Drell-Yan production at NNLL ′ + NNLO matched to parton showers journal, November 2015

Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC journal, November 2011

Higgs production with a central jet veto at NNLL+NNLO journal, April 2011

Calculating track thrust with track functions journal, August 2013

The Higgs transverse momentum distribution at NNLL and its theoretical errors journal, December 2015

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

Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA journal, September 2013

Jets from massive unstable particles: Top-mass determination journal, April 2008

On power corrections to the event shape distributions in QCD journal, October 2000

Higgs-boson production at small transverse momentum journal, May 2013

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

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

Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL text, January 2019

Theory uncertainties for Higgs mass and other searches using jet bins
journal, February 2012

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

Invariant operators in collinear effective theory
journal, September 2001

Power corrections to event shapes and factorization
journal, August 1999

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

$C$ -parameter distribution at $N^{3} {LL}^{'}$ including power corrections
journal, May 2015

Fragmentation with a cut on thrust: Predictions for $B$ factories
journal, April 2013

Precise determination of $α_{s}$ from the $C$ -parameter distribution
journal, May 2015

Jet $p_{T}$ resummation in Higgs production at ${NNLL}^{'} + NNLO$
journal, March 2014

Next-to-leading-order uncertainties in $Higgs + 2$ jets from gluon fusion
journal, May 2013

Resummation and NLO matching of event shapes with effective field theory
journal, January 2008

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

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

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

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

Event shape–energy flow correlations
journal, July 2003

Sudakov factorization and resummation
journal, January 1997

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

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

The scale of soft resummation in SCET vs perturbative QCD
journal, August 2013

Threshold resummation in SCET vs. perturbative QCD: An analytic comparison
journal, August 2012

Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order
journal, September 2013

Quantum Chromodynamics Test for Jets
journal, December 1977

Secondary heavy quark production in jets through mass modes
journal, August 2013

Designing gapped soft functions for jet production
journal, March 2008

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

Quantifying comparisons of threshold resummations
journal, May 2014

Factorization and resummation for dijet invariant mass spectra
journal, April 2012

Reducing theoretical uncertainties for exclusive Higgs-boson plus one-jet production at the LHC
journal, May 2013

Drell-Yan production at ${NNLL}^{'} + NNLO$ matched to parton showers
journal, November 2015

Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC
journal, November 2011

Higgs production with a central jet veto at NNLL+NNLO
journal, April 2011

Calculating track thrust with track functions
journal, August 2013

The Higgs transverse momentum distribution at NNLL and its theoretical errors
journal, December 2015

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

Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA
journal, September 2013

Jets from massive unstable particles: Top-mass determination
journal, April 2008

On power corrections to the event shape distributions in QCD
journal, October 2000

Higgs-boson production at small transverse momentum
journal, May 2013

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

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

Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
text, January 2019