C -parameter distribution at N3LL' including power corrections

Hoang, André H.; Kolodrubetz, Daniel W.; Mateu, Vicent; Stewart, Iain W.

doi:10.1103/physrevd.91.094017

Title: $C$ -parameter distribution at $N^{3} {LL}^{'}$ including power corrections

Abstract

We compute the e ⁺ e^- C -parameter distribution using the soft-collinear effective theory with a resummation to next-to-next-to-next-to-leading-log prime accuracy of the most singular partonic terms. This includes the known fixed-order QCD results up to O (α$$3\atop{s}$$) , a numerical determination of the two-loop nonlogarithmic term of the soft function, and all logarithmic terms in the jet and soft functions up to three loops. Our result holds for C in the peak, tail, and far tail regions. Additionally, we treat hadronization effects using a field theoretic nonperturbative soft function, with moments Ω_n. To eliminate an O (Λ _QCD) renormalon ambiguity in the soft function, we switch from the $$\overline{MS}$$ to a short distance “Rgap” scheme to define the leading power correction parameter Ω₁. We show how to simultaneously account for running effects in Ω₁ due to renormalon subtractions and hadron-mass effects, enabling power correction universality between C -parameter and thrust to be tested in our setup. Finally, we discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant fit region for α_s(m_Z) and Ω₁, the perturbative uncertainty in our cross section is ≃ 2.5 % at Q = m_Z.

Authors:

Hoang, André H. ^[1]; Kolodrubetz, Daniel W. ^[2]; Mateu, Vicent ^[3]; Stewart, Iain W. ^[2]

Univ. of Vienna (Austria). Erwin Schrödinger International Inst. for Mathematical Physics, Faculty of Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Univ. of Vienna (Austria). Faculty of Physics

Publication Date:: Fri May 15 00:00:00 EDT 2015

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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

OSTI Identifier:: 1505750

Alternate Identifier(s):: OSTI ID: 1179762

Grant/Contract Number:: SC0011090

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 91; Journal Issue: 9; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, and Stewart, Iain W. C -parameter distribution at N3LL' including power corrections.  United States: N. p., 2015. 
Web.  doi:10.1103/physrevd.91.094017.

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                    Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, & Stewart, Iain W. C -parameter distribution at N3LL' including power corrections.  United States.  https://doi.org/10.1103/physrevd.91.094017

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                    Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, and Stewart, Iain W. Fri .  
"C -parameter distribution at N3LL' including power corrections".  United States.  https://doi.org/10.1103/physrevd.91.094017.  https://www.osti.gov/servlets/purl/1505750.

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@article{osti_1505750,

  title        = {C -parameter distribution at N3LL' including power corrections},

  author       = {Hoang, André H. and Kolodrubetz, Daniel W. and Mateu, Vicent and Stewart, Iain W.},

  abstractNote = {We compute the e + e- C -parameter distribution using the soft-collinear effective theory with a resummation to next-to-next-to-next-to-leading-log prime accuracy of the most singular partonic terms. This includes the known fixed-order QCD results up to O (α$3\atop{s}$) , a numerical determination of the two-loop nonlogarithmic term of the soft function, and all logarithmic terms in the jet and soft functions up to three loops. Our result holds for C in the peak, tail, and far tail regions. Additionally, we treat hadronization effects using a field theoretic nonperturbative soft function, with moments Ωn. To eliminate an O (Λ QCD) renormalon ambiguity in the soft function, we switch from the $\overline{MS}$ to a short distance “Rgap” scheme to define the leading power correction parameter Ω1. We show how to simultaneously account for running effects in Ω1 due to renormalon subtractions and hadron-mass effects, enabling power correction universality between C -parameter and thrust to be tested in our setup. Finally, we discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant fit region for αs(mZ) and Ω1, the perturbative uncertainty in our cross section is ≃ 2.5 % at Q = mZ.},

  doi          = {10.1103/physrevd.91.094017},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 9,

  volume       = 91,

  place        = {United States},

  year         = {Fri May 15 00:00:00 EDT 2015},

  month        = {Fri May 15 00:00:00 EDT 2015}

}

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We compute the resummed on-shell W+W- production cross section under a jet veto at the LHC to partial N3LL order matched to the fixed-order NNLO result. Differential NNLO cross sections are obtained from an implementation of qT subtraction in Sherpa. The two-loop virtual corrections to the qq¯→W+W- amplitude, used in both fixed-order and resummation predictions, are extracted from the public code qqvvamp. We perform resummation using soft collinear effective theory, with approximate beam functions where only the logarithmic terms are included at two-loop. In addition to scale uncertainties from the hard matching scale and the factorization scale, rapidity scale variationsmore »« less
Cited by 25
https://doi.org/10.1103/PhysRevD.94.114014

Full Text Available
Measurements of integrated and differential cross sections for isolated photon pair production in $p p$ collisions at $\sqrt{s} = 8 TeV$ with the ATLAS detector

Journal Article Aaboud, M. ; Aad, G. ; Abbott, B. ; ... - Physical Review. D.

A measurement of the production cross section for two isolated photons in proton-proton collisions at a center-of-mass energy of √s=8 TeV is presented. The results are based on an integrated luminosity of 20.2 fb-1 recorded by the ATLAS detector at the Large Hadron Collider. The measurement considers photons with pseudorapidities satisfying |ηγ|<1.37 or 1.56<|ηγ|<2.37 and transverse energies of respectively EγT,1>40 GeV and EγT,2 > 30 GeV for the two leading photons ordered in transverse energy produced in the interaction. The background due to hadronic jets and electrons is subtracted using data-driven techniques. The fiducial cross sections are corrected for detectormore »« less
Cited by 9
https://doi.org/10.1103/PhysRevD.95.112005
Sensitivity of the $η^{(')} \to π^{0} γ γ$ and $η^{'} \to η γ γ$ decays to a sub-GeV leptophobic $U (1)_{B}$ boson

Journal Article Escribano, Rafel ; Gonzàlez-Solís, Sergi ; Royo, Emilio - Physical Review D

The sensitivity of the rare decays η^(') → π⁰γγ and η' → ηγγ to signatures of a leptophobic B boson in the MeV–GeV mass range is analyzed in this work. By adding an explicit B-boson resonance exchange, η → Bγ → π⁰γγ, to the Standard Model contributions from vector and scalar meson exchanges, and employing experimental data for the associated branching ratios, it allows us to improve the current constraints on the B-boson mass mB and coupling to Standard Model particles α_B. From these constraints and the analysis of the available experimental γγ invariant mass distribution, we show that amore »« less
https://doi.org/10.1103/PhysRevD.106.114007

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Title: C -parameter distribution at N 3 LL ' including power corrections

Abstract

Citation Formats

Nonperturbative corrections in resummed cross sections journal, March 1995

Second order logarithmic corrections to the Drell-Yan cross-section journal, December 1988

On the universality of the leading, power corrections in QCD journal, September 1995

Hadron masses and power corrections to event shapes journal, May 2001

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

Calculation of power corrections to hadronic event shapes journal, June 1995

Factorization in leptonic radiative B→γeν decays journal, January 2003

The four-loop β-function in quantum chromodynamics journal, May 1997

The C parameter distribution in e + e − annihilation journal, August 2003

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

Variable-flavor-number scheme for final state jets in thrust journal, December 2014

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

Tensor analysis of hadronic jets in quantum chromodynamics journal, December 1979

Dimensional regularization of mass and infrared singularities in two-loop on-shell vertex functions journal, May 1986

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

NNLO moments of event shapes in e + e − annihilation journal, May 2009

A general algorithm for calculating jet cross sections in NLO QCD journal, February 1997

Quark and Gluon Form Factors to Three Loops journal, May 2009

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

Analytic results for massless three-loop form factors journal, April 2010

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

Calculation of Event-Shape Parameters in e + e − Annihilation journal, October 1980

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

Precision thrust cumulant moments at N 3 LL journal, November 2012

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

The four-loop QCD β-function and anomalous dimensions journal, March 2005

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

Superinclusive cross sections journal, March 1978

Two-loop quark and gluon form factors in dimensional regularisation journal, September 2005

Invariant operators in collinear effective theory journal, September 2001

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

Second-Order QCD Corrections to the Thrust Distribution in Electron-Positron Annihilation journal, September 2007

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

Renormalization-group improved calculation of the $B\to X_s\gamma$ branching ratio journal, March 2005

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

Resummed C-parameter distribution in e+e− annihilation journal, May 1998

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

The two-loop hemisphere soft function journal, August 2011

Factorization and shape-function effects in inclusive B-meson decays journal, November 2004

Observables for the Analysis of Event Shapes in e + e − Annihilation and Other Processes journal, December 1978

Evolution of the light-cone distribution function for a heavy quark journal, November 1998

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

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

The three-loop QCD β-function and anomalous dimensions journal, April 1993

Infrared safe but infinite: soft-gluon divergences inside the physical region journal, October 1997

Resummation of threshold logarithms in effective field theory for DIS, Drell–Yan and Higgs production journal, October 2006

NNLO corrections to event shapes in e + e − annihilation journal, December 2007

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

Event shapes and jet rates in electron-positron annihilation at NNLO journal, June 2009

QCD corrections to the e+e− cross-section and the Z boson decay rate: concepts and results journal, December 1996

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

EERAD3: Event shapes and jet rates in electron–positron annihilation at order α s 3 journal, December 2014

R evolution: Improving perturbative QCD journal, July 2010

Infrared Renormalization-Group Flow for Heavy-Quark Masses journal, October 2008

Designing gapped soft functions for jet production journal, March 2008

Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation journal, October 2008

The calculation of the second order soft and virtual contributions to the Drell-Yan cross section journal, June 1989

The quark form factor at higher orders journal, August 2005

The gell-mann-low function of QCD in the three-loop approximation journal, June 1980

Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell–Yan process journal, January 2001

Calculation of the quark and gluon form factors to three loops in QCD journal, June 2010

The three-loop splitting functions in QCD: the non-singlet case journal, June 2004

Oriented event shapes at N3LL + $ \mathcal{O}\left( {\alpha_{\mathrm{S}}^2} \right) $ journal, November 2013

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

The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order journal, June 1996

Renormalization of the Wilson loops beyond the leading order journal, January 1987

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

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

Calibrating the naïve Cornell model with NRQCD journal, April 2019

FCC Physics Opportunities: Future Circular Collider Conceptual Design Report Volume 1 journal, June 2019

Second-order QCD corrections to event shape distributions in deep inelastic scattering journal, December 2019

FCC Physics Opportunities text, January 2019

Second-order QCD corrections to event shape distributions in deep inelastic scattering text, January 2019

Second-order QCD corrections to event shape distributions in deep inelastic scattering preprint, January 2019

Title: $C$ -parameter distribution at $N^{3} {LL}^{'}$ including power corrections

Nonperturbative corrections in resummed cross sections
journal, March 1995

Second order logarithmic corrections to the Drell-Yan cross-section
journal, December 1988

On the universality of the leading, power corrections in QCD
journal, September 1995

Hadron masses and power corrections to event shapes
journal, May 2001

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

Calculation of power corrections to hadronic event shapes
journal, June 1995

Factorization in leptonic radiative B→γeν decays
journal, January 2003

The four-loop β-function in quantum chromodynamics
journal, May 1997

The C parameter distribution in e ⁺ e ⁻ annihilation
journal, August 2003

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

Variable-flavor-number scheme for final state jets in thrust
journal, December 2014

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

Tensor analysis of hadronic jets in quantum chromodynamics
journal, December 1979

Dimensional regularization of mass and infrared singularities in two-loop on-shell vertex functions
journal, May 1986

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

NNLO moments of event shapes in e ⁺ e ⁻ annihilation
journal, May 2009

A general algorithm for calculating jet cross sections in NLO QCD
journal, February 1997

Quark and Gluon Form Factors to Three Loops
journal, May 2009

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

Analytic results for massless three-loop form factors
journal, April 2010

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

Calculation of Event-Shape Parameters in $e^{+} e^{-}$ Annihilation
journal, October 1980

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

Precision thrust cumulant moments at $N^{3} LL$
journal, November 2012

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

The four-loop QCD β-function and anomalous dimensions
journal, March 2005

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

Superinclusive cross sections
journal, March 1978

Two-loop quark and gluon form factors in dimensional regularisation
journal, September 2005

Invariant operators in collinear effective theory
journal, September 2001

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

Second-Order QCD Corrections to the Thrust Distribution in Electron-Positron Annihilation
journal, September 2007

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

Renormalization-group improved calculation of the $B\to X_s\gamma$ branching ratio
journal, March 2005

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

Resummed C-parameter distribution in e+e− annihilation
journal, May 1998

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

The two-loop hemisphere soft function
journal, August 2011

Factorization and shape-function effects in inclusive B-meson decays
journal, November 2004

Observables for the Analysis of Event Shapes in $e^{+} e^{-}$ Annihilation and Other Processes
journal, December 1978

Evolution of the light-cone distribution function for a heavy quark
journal, November 1998

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

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

The three-loop QCD β-function and anomalous dimensions
journal, April 1993

Infrared safe but infinite: soft-gluon divergences inside the physical region
journal, October 1997

Resummation of threshold logarithms in effective field theory for DIS, Drell–Yan and Higgs production
journal, October 2006

NNLO corrections to event shapes in e ⁺ e ⁻ annihilation
journal, December 2007

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

Event shapes and jet rates in electron-positron annihilation at NNLO
journal, June 2009

QCD corrections to the e+e− cross-section and the Z boson decay rate: concepts and results
journal, December 1996

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

EERAD3: Event shapes and jet rates in electron–positron annihilation at order $α_{s}^{3}$
journal, December 2014

$R$ evolution: Improving perturbative QCD
journal, July 2010

Infrared Renormalization-Group Flow for Heavy-Quark Masses
journal, October 2008

Designing gapped soft functions for jet production
journal, March 2008

Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation
journal, October 2008

The calculation of the second order soft and virtual contributions to the Drell-Yan cross section
journal, June 1989

The quark form factor at higher orders
journal, August 2005

The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980

Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell–Yan process
journal, January 2001

Calculation of the quark and gluon form factors to three loops in QCD
journal, June 2010

The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004

Oriented event shapes at N3LL + $ \mathcal{O}\left( {\alpha_{\mathrm{S}}^2} \right) $
journal, November 2013

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

The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order
journal, June 1996

Renormalization of the Wilson loops beyond the leading order
journal, January 1987

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

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

Calibrating the naïve Cornell model with NRQCD
journal, April 2019

FCC Physics Opportunities: Future Circular Collider Conceptual Design Report Volume 1
journal, June 2019

Second-order QCD corrections to event shape distributions in deep inelastic scattering
journal, December 2019

FCC Physics Opportunities
text, January 2019

Second-order QCD corrections to event shape distributions in deep inelastic scattering
text, January 2019

Second-order QCD corrections to event shape distributions in deep inelastic scattering
preprint, January 2019