Power corrections for N-jettiness subtractions at $ \mathcal{O}\left({\alpha}_s\right) $

Ebert, Markus A.; Moult, Ian; Stewart, Iain W.; Tackmann, Frank J.; Vita, Gherardo; Zhu, Hua Xing

doi:10.1007/jhep12(2018)084

Title: Power corrections for N-jettiness subtractions at $$ \mathcal{O}\left({\alpha}_s\right) $$

Abstract

We continue the study of power corrections for N -jettiness subtractions by analytically computing the complete next-to-leading power corrections at O(α_s) for colorsinglet production. This includes all nonlogarithmic terms and all partonic channels for Drell-Yan and gluon-fusion Higgs production. These terms are important to further improve the numerical performance of the subtractions, and to better understand the structure of power corrections beyond their leading logarithms, in particular their universality. We emphasize the importance of computing the power corrections differential in both the invariant mass, Q, and rapidity, Y, of the color-singlet system, which is necessary to account for the rapidity dependence in the subtractions. This also clarifies apparent disagreements in the literature. Performing a detailed numerical study, we find excellent agreement of our analytic results with a previous numerical extraction.

Authors:

^[1]; Moult, Ian ^[2]; Stewart, Iain W. ^[1]; Tackmann, Frank J. ^[3]; Vita, Gherardo ^[1]; Zhu, Hua Xing ^[4]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theory Group
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Zhejiang Univ., Hangzhou (China). Dept. of Physics

Publication Date:: Thu Dec 13 00:00:00 EST 2018

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

OSTI Identifier:: 1494096

Alternate Identifier(s):: OSTI ID: 1635392

Grant/Contract Number:: AC02-05CH11231; SC0011090; PHY-1607611

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: 2018; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD phenomenology

Citation Formats


                    Ebert, Markus A., Moult, Ian, Stewart, Iain W., Tackmann, Frank J., Vita, Gherardo, and Zhu, Hua Xing. Power corrections for N-jettiness subtractions at $ \mathcal{O}\left({\alpha}_s\right) $.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep12(2018)084.

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                    Ebert, Markus A., Moult, Ian, Stewart, Iain W., Tackmann, Frank J., Vita, Gherardo, & Zhu, Hua Xing. Power corrections for N-jettiness subtractions at $ \mathcal{O}\left({\alpha}_s\right) $.  United States.  https://doi.org/10.1007/jhep12(2018)084

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                    Ebert, Markus A., Moult, Ian, Stewart, Iain W., Tackmann, Frank J., Vita, Gherardo, and Zhu, Hua Xing. Thu .  
"Power corrections for N-jettiness subtractions at $ \mathcal{O}\left({\alpha}_s\right) $".  United States.  https://doi.org/10.1007/jhep12(2018)084.  https://www.osti.gov/servlets/purl/1494096.

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@article{osti_1494096,

  title        = {Power corrections for N-jettiness subtractions at $ \mathcal{O}\left({\alpha}_s\right) $},

  author       = {Ebert, Markus A. and Moult, Ian and Stewart, Iain W. and Tackmann, Frank J. and Vita, Gherardo and Zhu, Hua Xing},

  abstractNote = {We continue the study of power corrections for N -jettiness subtractions by analytically computing the complete next-to-leading power corrections at O(αs) for colorsinglet production. This includes all nonlogarithmic terms and all partonic channels for Drell-Yan and gluon-fusion Higgs production. These terms are important to further improve the numerical performance of the subtractions, and to better understand the structure of power corrections beyond their leading logarithms, in particular their universality. We emphasize the importance of computing the power corrections differential in both the invariant mass, Q, and rapidity, Y, of the color-singlet system, which is necessary to account for the rapidity dependence in the subtractions. This also clarifies apparent disagreements in the literature. Performing a detailed numerical study, we find excellent agreement of our analytic results with a previous numerical extraction.},

  doi          = {10.1007/jhep12(2018)084},

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

  number       = 12,

  volume       = 2018,

  place        = {United States},

  year         = {Thu Dec 13 00:00:00 EST 2018},

  month        = {Thu Dec 13 00:00:00 EST 2018}

}

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Caola, Fabrizio; Melnikov, Kirill; Röntsch, Raoul
Karlsruhe
DOI: 10.5445/ir/1000099913

Two-loop $N$ -jettiness soft function for $p p \to 2 j$ production
journal, June 2019

Jin, Shan; Liu, Xiaohui
Physical Review D, Vol. 99, Issue 11
DOI: 10.1103/physrevd.99.114017

Helicity methods for high multiplicity subleading soft and collinear limits
journal, May 2019

Bhattacharya, Arindam; Moult, Ian; Stewart, Iain W.
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/jhep05(2019)192

Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
text, January 2019

Ebert, Markus A.; Tackmann, Frank J.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2020-00411

Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
text, January 2019

Cieri, Leandro; Oleari, Carlo; Rocco, Marco
arXiv
DOI: 10.48550/arxiv.1906.09044

Analytic results for decays of color singlets to $gg$ and $q \bar q$ final states at NNLO QCD with the nested soft-collinear subtraction scheme
preprint, January 2019

Caola, Fabrizio; Melnikov, Kirill; Röntsch, Raoul
arXiv
DOI: 10.48550/arxiv.1907.05398

Precision phenomenology with MCFM
text, January 2019

Campbell, John; Neumann, Tobias
arXiv
DOI: 10.48550/arxiv.1909.09117

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Title: Power corrections for N-jettiness subtractions at $$ \mathcal{O}\left({\alpha}_s\right) $$

Abstract

Citation Formats

Equality of hemisphere soft functions for e + e − , DIS and pp collisions at O ( α s 2 ) journal, September 2015

Higgs boson production in association with a jet using jettiness subtraction journal, September 2015

A multi-threaded version of MCFM journal, June 2015

Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy journal, October 2016

W -boson plus jet differential distributions at NNLO in QCD journal, December 2016

Z -Boson Production in Association with a Jet at Next-To-Next-To-Leading Order in Perturbative QCD journal, April 2016

The quark beam function at two loops journal, April 2014

Production of Higgs bosons in proton colliders. QCD corrections journal, August 1991

Nested soft-collinear subtractions in NNLO QCD computations journal, April 2017

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

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

Parton distributions in the LHC era: MMHT 2014 PDFs journal, May 2015

Single-inclusive jet production in electron–nucleon collisions through next-to-next-to-leading order in perturbative QCD journal, December 2016

Update on vector boson pair production at hadron colliders journal, November 1999

Collinear limits beyond the leading order from the scattering equations journal, February 2017

Invariant operators in collinear effective theory journal, September 2001

QCD radiative corrections to electroweak-boson production at large transverse momentum in hadron collisions journal, October 1989

CoLoRFulNNLO for LHC processes conference, October 2018

Higgs-differential cross section at NNLO in dimensional regularisation journal, July 2017

Four-dimensional formulation of the sector-improved residue subtraction scheme journal, January 2015

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

MCFM for the Tevatron and the LHC journal, August 2010

Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider journal, May 2007

Hard scattering factorization from effective field theory journal, July 2002

High-energy bremsstrahlung theorems for soft photons journal, December 1990

Color-singlet production at NNLO in MCFM journal, December 2016

N-jettiness subtractions for NNLO QCD calculations journal, September 2015

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

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

W -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD journal, August 2015

The gluon jet function at two-loop order journal, January 2011

Non-abelian factorisation for next-to-leading-power threshold logarithms text, January 2016

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

The quark beam function at NNLL journal, September 2010

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach journal, January 2011

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

Associated production of a Higgs boson at NNLO journal, June 2016

Geometric IR subtraction for final state real radiation journal, August 2018

Spin-dependent quark beam function at NNLO journal, August 2017

On next-to-eikonal corrections to threshold resummation for the Drell–Yan and DIS cross sections journal, November 2008

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

Non-abelian factorisation for next-to-leading-power threshold logarithms text, January 2016

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

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

The gluon beam function at two loops journal, August 2014

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

Jet production in the CoLoRFulNNLO method: Event shapes in electron-positron collisions journal, October 2016

Anomalous dimension of subleading-power N-jet operators journal, March 2018

Radiative corrections to Higgs boson production journal, August 1991

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

The dipole formalism for next-to-leading order QCD calculations with massive partons journal, April 2002

The NNLO QCD soft function for 1-jettiness journal, March 2018

Three-jet cross sections to next-to-leading order journal, May 1996

The method of regions and next-to-soft corrections in Drell–Yan production journal, March 2015

High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order journal, May 2004

A novel subtraction scheme for double-real radiation at NNLO journal, October 2010

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

The gluon beam function at two loops text, January 2014

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

Higgs boson production at hadron colliders at N3LO in QCD journal, May 2018

Antenna subtraction at NNLO journal, September 2005

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

Higgs-differential cross section at NNLO in dimensional regularisation text, January 2017

MCFM for the Tevatron and the LHC text, January 2010

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach text, January 2010

Higgs Production with a Central Jet Veto at NNLL+NNLO text, January 2010

Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region text, January 2011

A factorization approach to next-to-leading-power threshold logarithms preprint, January 2015

N-jettiness Subtractions for NNLO QCD Calculations preprint, January 2015

Building Blocks for Subleading Helicity Operators text, January 2016

Predictions for diphoton production at the LHC through NNLO in QCD text, January 2016

Collinear limits beyond the leading order from the scattering equations text, January 2016

Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders text, January 2016

Power Corrections in the N-jettiness Subtraction Scheme text, January 2016

A Complete Basis of Helicity Operators for Subleading Factorization text, January 2017

NNLO predictions for Z-boson pair production at the LHC text, January 2017

Equality of hemisphere soft functions for $e^{+} e^{-}$ , DIS and pp collisions at $O (α_{s}^{2})$
journal, September 2015

Higgs boson production in association with a jet using jettiness subtraction
journal, September 2015

A multi-threaded version of MCFM
journal, June 2015

Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy
journal, October 2016

$W$ -boson plus jet differential distributions at NNLO in QCD
journal, December 2016

$Z$ -Boson Production in Association with a Jet at Next-To-Next-To-Leading Order in Perturbative QCD
journal, April 2016

The quark beam function at two loops
journal, April 2014

Production of Higgs bosons in proton colliders. QCD corrections
journal, August 1991

Nested soft-collinear subtractions in NNLO QCD computations
journal, April 2017

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

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

Parton distributions in the LHC era: MMHT 2014 PDFs
journal, May 2015

Single-inclusive jet production in electron–nucleon collisions through next-to-next-to-leading order in perturbative QCD
journal, December 2016

Update on vector boson pair production at hadron colliders
journal, November 1999

Collinear limits beyond the leading order from the scattering equations
journal, February 2017

Invariant operators in collinear effective theory
journal, September 2001

QCD radiative corrections to electroweak-boson production at large transverse momentum in hadron collisions
journal, October 1989

CoLoRFulNNLO for LHC processes
conference, October 2018

Higgs-differential cross section at NNLO in dimensional regularisation
journal, July 2017

Four-dimensional formulation of the sector-improved residue subtraction scheme
journal, January 2015

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

MCFM for the Tevatron and the LHC
journal, August 2010

Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider
journal, May 2007

Hard scattering factorization from effective field theory
journal, July 2002

High-energy bremsstrahlung theorems for soft photons
journal, December 1990

Color-singlet production at NNLO in MCFM
journal, December 2016

N-jettiness subtractions for NNLO QCD calculations
journal, September 2015

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

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

$W$ -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD
journal, August 2015

The gluon jet function at two-loop order
journal, January 2011

Non-abelian factorisation for next-to-leading-power threshold logarithms
text, January 2016

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

The quark beam function at NNLL
journal, September 2010

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
journal, January 2011

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

Associated production of a Higgs boson at NNLO
journal, June 2016

Geometric IR subtraction for final state real radiation
journal, August 2018

Spin-dependent quark beam function at NNLO
journal, August 2017

On next-to-eikonal corrections to threshold resummation for the Drell–Yan and DIS cross sections
journal, November 2008

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

Non-abelian factorisation for next-to-leading-power threshold logarithms
text, January 2016

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

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

The gluon beam function at two loops
journal, August 2014

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

Jet production in the CoLoRFulNNLO method: Event shapes in electron-positron collisions
journal, October 2016

Anomalous dimension of subleading-power N-jet operators
journal, March 2018

Radiative corrections to Higgs boson production
journal, August 1991

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

The dipole formalism for next-to-leading order QCD calculations with massive partons
journal, April 2002

The NNLO QCD soft function for 1-jettiness
journal, March 2018

Three-jet cross sections to next-to-leading order
journal, May 1996

The method of regions and next-to-soft corrections in Drell–Yan production
journal, March 2015

High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order
journal, May 2004

A novel subtraction scheme for double-real radiation at NNLO
journal, October 2010

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

The gluon beam function at two loops
text, January 2014

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

Higgs boson production at hadron colliders at N3LO in QCD
journal, May 2018

Antenna subtraction at NNLO
journal, September 2005

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

Higgs-differential cross section at NNLO in dimensional regularisation
text, January 2017

MCFM for the Tevatron and the LHC
text, January 2010

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
text, January 2010

Higgs Production with a Central Jet Veto at NNLL+NNLO
text, January 2010

Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
text, January 2011

A factorization approach to next-to-leading-power threshold logarithms
preprint, January 2015

N-jettiness Subtractions for NNLO QCD Calculations
preprint, January 2015

Building Blocks for Subleading Helicity Operators
text, January 2016

Predictions for diphoton production at the LHC through NNLO in QCD
text, January 2016

Collinear limits beyond the leading order from the scattering equations
text, January 2016

Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
text, January 2016

Power Corrections in the N-jettiness Subtraction Scheme
text, January 2016

A Complete Basis of Helicity Operators for Subleading Factorization
text, January 2017

NNLO predictions for Z-boson pair production at the LHC
text, January 2017

Next-to-leading power corrections to $V + 1$ jet production in $N$ -jettiness subtraction
journal, January 2020

Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
journal, May 2019

Analytic results for decays of color singlets to gg and $q \bar{q}$ final states at NNLO QCD with the nested soft-collinear subtraction scheme
text, January 2019