N -jettiness subtractions for g g → H at subleading power

Moult, Ian; Rothen, Lorena; Stewart, Iain W.; Tackmann, Frank J.; Zhu, Hua Xing

doi:10.1103/PhysRevD.97.014013

Title: $N$ -jettiness subtractions for $g g \to H$ at subleading power

Journal Article · Wed Jan 24 00:00:00 EST 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.014013· OSTI ID:1417927

Moult, Ian; Rothen, Lorena; Stewart, Iain W.; Tackmann, Frank J.; Zhu, Hua Xing

N -jettiness subtractions provide a general approach for performing fully-differential next-to-next-to-leading order (NNLO) calculations. Since they are based on the physical resolution variable N -jettiness, T_N, subleading power corrections in τ =T_N/Q, with Q a hard interaction scale, can also be systematically computed. We study the structure of power corrections for 0-jettiness, T₀, for the gg → H process. Using the soft-collinear effective theory we analytically compute the leading power corrections α_sτlnτ and α$$2\atop{s}$$τln³τ (finding partial agreement with a previous result in the literature), and perform a detailed numerical study of the power corrections in the gg, gq, and $$q\overline{q}$$ channels. This includes a numerical extraction of the α_sτ and α$$2\atop{s}$$sτln²τ corrections, and a study of the dependence on the T₀ definition. Including such power suppressed logarithms significantly reduces the size of missing power corrections, and hence improves the numerical efficiency of the subtraction method. Having a more detailed understanding of the power corrections for both $$q\overline{q}$$ and gg initiated processes also provides insight into their universality, and hence their behavior in more complicated processes where they have not yet been analytically calculated.

View Journal Article

Cite

Export

Save

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

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

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

OSTI ID:: 1417927

Alternate ID(s):: OSTI ID: 1485073

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 49 works

Citation information provided by
Web of Science

References (67)

Direct Photon Production at Next-to–Next-to-Leading Order Campbell, John M.; Ellis, R. Keith; Williams, Ciaran Physical Review Letters, Vol. 118, Issue 22 https://doi.org/10.1103/PhysRevLett.118.222001	journal	May 2017
Equality of hemisphere soft functions for $e^{+} e^{-}$ , DIS and pp collisions at $O (α_{s}^{2})$ Kang, Daekyoung; Labun, Ou Z.; Lee, Christopher Physics Letters B, Vol. 748 https://doi.org/10.1016/j.physletb.2015.06.057	journal	September 2015
Higgs boson production in association with a jet using jettiness subtraction Boughezal, Radja; Focke, Christfried; Giele, Walter Physics Letters B, Vol. 748 https://doi.org/10.1016/j.physletb.2015.06.055	journal	September 2015
$W$ -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD Boughezal, Radja; Focke, Christfried; Liu, Xiaohui Physical Review Letters, Vol. 115, Issue 6 https://doi.org/10.1103/PhysRevLett.115.062002	journal	August 2015
A multi-threaded version of MCFM Campbell, John M.; Ellis, R. Keith; Giele, Walter T. The European Physical Journal C, Vol. 75, Issue 6 https://doi.org/10.1140/epjc/s10052-015-3461-2	journal	June 2015
The gluon jet function at two-loop order Becher, Thomas; Bell, Guido Physics Letters B, Vol. 695, Issue 1-4 https://doi.org/10.1016/j.physletb.2010.11.036	journal	January 2011
at two loops in the large-Mt limit Schmidt, Carl R. Physics Letters B, Vol. 413, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)01102-7	journal	November 1997
$W$ -boson plus jet differential distributions at NNLO in QCD Boughezal, Radja; Liu, Xiaohui; Petriello, Frank Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.113009	journal	December 2016
$N$ -jettiness soft function at next-to-next-to-leading order Boughezal, Radja; Liu, Xiaohui; Petriello, Frank Physical Review D, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevD.91.094035	journal	May 2015
$Z$ -Boson Production in Association with a Jet at Next-To-Next-To-Leading Order in Perturbative QCD Boughezal, Radja; Campbell, John; Ellis, R. Keith Physical Review Letters, Vol. 116, Issue 15 https://doi.org/10.1103/PhysRevLett.116.152001	journal	April 2016
Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry Beneke, M.; Feldmann, Th. Physics Letters B, Vol. 553, Issue 3-4 https://doi.org/10.1016/S0370-2693(02)03204-5	journal	February 2003
The quark beam function at two loops Gaunt, Jonathan R.; Stahlhofen, Maximilian; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)113	journal	April 2014
An effective field theory for collinear and soft gluons: Heavy to light decays Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114020	journal	May 2001
The quark beam function at NNLL Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J. Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)005	journal	September 2010
Next-to-next-to-leading order N -jettiness soft function for one massive colored particle production at hadron colliders Li, Hai Tao; Wang, Jian Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)002	journal	February 2017
Antenna subtraction at NNLO Ridder, Aude Gehrmann-De; Gehrmann, Thomas; Glover, E. W. Nigel Journal of High Energy Physics, Vol. 2005, Issue 09 https://doi.org/10.1088/1126-6708/2005/09/056	journal	September 2005
Associated production of a Higgs boson at NNLO Campbell, John M.; Ellis, R. Keith; Williams, Ciaran Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)179	journal	June 2016
Quantum Chromodynamics Test for Jets Farhi, Edward Physical Review Letters, Vol. 39, Issue 25 https://doi.org/10.1103/PhysRevLett.39.1587	journal	December 1977
Extension of the Low Soft-Photon Theorem Burnett, T. H.; Kroll, Norman M. Physical Review Letters, Vol. 20, Issue 2 https://doi.org/10.1103/PhysRevLett.20.86	journal	January 1968
Nested soft-collinear subtractions in NNLO QCD computations Caola, Fabrizio; Melnikov, Kirill; Röntsch, Raoul The European Physical Journal C, Vol. 77, Issue 4 https://doi.org/10.1140/epjc/s10052-017-4774-0	journal	April 2017
Spin-dependent quark beam function at NNLO Boughezal, Radja; Petriello, Frank; Schubert, Ulrich Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034001	journal	August 2017
Erratum: Complete basis for power suppressed collinear-ultrasoft operators [Phys. Rev. D 67 , 094005 (2003)] Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.019903	journal	January 2004
$N$ Jettiness: An Inclusive Event Shape to Veto Jets Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J. Physical Review Letters, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevLett.105.092002	journal	August 2010
Drell-Yan production at ${NNLL}^{'} + NNLO$ matched to parton showers Alioli, Simone; Bauer, Christian W.; Berggren, Calvin Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094020	journal	November 2015
A case study of quark-gluon discrimination at NNLL $$'$$ ′ in comparison to parton showers Mo, Jonathan; Tackmann, Frank J.; Waalewijn, Wouter J. The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5365-9	journal	November 2017
Higgs production with a central jet veto at NNLL+NNLO Berger, Carola F.; Marcantonini, Claudio; Stewart, Iain W. Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)092	journal	April 2011
Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA Alioli, Simone; Bauer, Christian W.; Berggren, Calvin Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)120	journal	September 2013
Parton distributions in the LHC era: MMHT 2014 PDFs Harland-Lang, L. A.; Martin, A. D.; Motylinski, P. The European Physical Journal C, Vol. 75, Issue 5 https://doi.org/10.1140/epjc/s10052-015-3397-6	journal	May 2015
Single-inclusive jet production in electron–nucleon collisions through next-to-next-to-leading order in perturbative QCD Abelof, Gabriel; Boughezal, Radja; Liu, Xiaohui Physics Letters B, Vol. 763 https://doi.org/10.1016/j.physletb.2016.10.022	journal	December 2016
Update on vector boson pair production at hadron colliders Campbell, J. M.; Ellis, R. K. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.113006	journal	November 1999
Soft function for exclusive $N$ -jet production at hadron colliders Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114030	journal	June 2011
Zγ production at NNLO including anomalous couplings Campbell, John M.; Neumann, Tobias; Williams, Ciaran Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)150	journal	November 2017
Two-loop QCD corrections to the helicity amplitudes for H → 3 partons Gehrmann, T.; Jaquier, M.; Glover, E. W. N. Journal of High Energy Physics, Vol. 2012, Issue 2 https://doi.org/10.1007/JHEP02(2012)056	journal	February 2012
Factorization at the LHC: From parton distribution functions to initial state jets Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J. Physical Review D, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevD.81.094035	journal	May 2010
Invariant operators in collinear effective theory Bauer, Christian W.; Stewart, Iain W. Physics Letters B, Vol. 516, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00902-9	journal	September 2001
Toward a NNLO calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo>→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mi>γ</mml:mi></mml:math> decay rate with a cut on photon energy: II. Two-loop result for the jet function Becher, Thomas; Neubert, Matthias Physics Letters B, Vol. 637, Issue 4-5 https://doi.org/10.1016/j.physletb.2006.04.046	journal	June 2006
The gluon beam function at two loops Gaunt, Jonathan R.; Stahlhofen, Maximilian; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)020	journal	August 2014
Summing Sudakov logarithms in $\vec{B} X_{s} γ$ in effective field theory Bauer, Christian W.; Fleming, Sean; Luke, Michael Physical Review D, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevD.63.014006	journal	December 2000
Reparameterization invariance for collinear operators Manohar, Aneesh V.; Mehen, Thomas; Pirjol, Dan Physics Letters B, Vol. 539, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02029-4	journal	July 2002
A subleading operator basis and matching for gg → H Moult, Ian; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)067	journal	July 2017
Four-dimensional formulation of the sector-improved residue subtraction scheme Czakon, M.; Heymes, D. Nuclear Physics B, Vol. 890 https://doi.org/10.1016/j.nuclphysb.2014.11.006	journal	January 2015
Two-loop soft corrections and resummation of the thrust distribution in the dijet region Monni, Pier Francesco; Gehrmann, Thomas; Luisoni, Gionata Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)010	journal	August 2011
Non-global structure of the $ \mathcal{O}\left( {\alpha_s^2} \right) $ dijet soft function Hornig, Andrew; Lee, Christopher; Stewart, Iain W. Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)054	journal	August 2011
The two-loop hemisphere soft function Kelley, Randall; Schwartz, Matthew D.; Schabinger, Robert M. Physical Review D, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevD.84.045022	journal	August 2011
MCFM for the Tevatron and the LHC Campbell, John M.; Ellis, R. K. Nuclear Physics B - Proceedings Supplements, Vol. 205-206 https://doi.org/10.1016/j.nuclphysbps.2010.08.011	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 Catani, Stefano; Grazzini, Massimiliano Physical Review Letters, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevLett.98.222002	journal	May 2007
A complete basis of helicity operators for subleading factorization Feige, Ilya; Kolodrubetz, Daniel W.; Moult, Ian Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)142	journal	November 2017
Power suppressed operators and gauge invariance in soft-collinear effective theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevD.68.034021	journal	August 2003
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. Nuclear Physics B, Vol. 643, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00687-9	journal	November 2002
Hard scattering factorization from effective field theory Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevD.66.014017	journal	July 2002
Predictions for diphoton production at the LHC through NNLO in QCD Campbell, John M.; Ellis, R. Keith; Li, Ye Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)148	journal	July 2016
Subtraction scheme for next-to-next-to-leading order computations Boughezal, Radja; Melnikov, Kirill; Petriello, Frank Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034025	journal	February 2012
Subleading power corrections for $N$ -jettiness subtractions Moult, Ian; Rothen, Lorena; Stewart, Iain W. Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074023	journal	April 2017
Color-singlet production at NNLO in MCFM Boughezal, Radja; Campbell, John M.; Ellis, R. Keith The European Physical Journal C, Vol. 77, Issue 1 https://doi.org/10.1140/epjc/s10052-016-4558-y	journal	December 2016
Collinear effective theory at subleading order and its application to heavy-light currents Chay, Junegone; Kim, Chul Physical Review D, Vol. 65, Issue 11 https://doi.org/10.1103/PhysRevD.65.114016	journal	June 2002
N-jettiness subtractions for NNLO QCD calculations Gaunt, Jonathan R.; Stahlhofen, Maximilian; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)058	journal	September 2015
Building blocks for subleading helicity operators Kolodrubetz, Daniel W.; Moult, Ian; Stewart, Iain W. Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)139	journal	May 2016
Driving missing data at the LHC: NNLO predictions for the ratio of $γ + j$ and $Z + j$ Campbell, John M.; Ellis, R. Keith; Williams, Ciaran Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014037	journal	July 2017
A novel subtraction scheme for double-real radiation at NNLO Czakon, M. Physics Letters B, Vol. 693, Issue 3 https://doi.org/10.1016/j.physletb.2010.08.036	journal	October 2010
Power corrections in the N -jettiness subtraction scheme Boughezal, Radja; Liu, Xiaohui; Petriello, Frank Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)160	journal	March 2017
Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions Low, F. E. Physical Review, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRev.110.974	journal	May 1958
Complete basis for power suppressed collinear-ultrasoft operators Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 67, Issue 9 https://doi.org/10.1103/PhysRevD.67.094005	journal	May 2003
Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions Del Duca, V.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)057	journal	November 2017
Soft-collinear factorization in effective field theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054022	journal	February 2002
Toward a NNLO calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo>→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mi>γ</mml:mi></mml:math> decay rate with a cut on photon energy: I. Two-loop result for the soft function Becher, Thomas; Neubert, Matthias Physics Letters B, Vol. 633, Issue 6 https://doi.org/10.1016/j.physletb.2006.01.006	journal	February 2006
Four-dimensional formulation of the sector-improved residue subtraction scheme Czakon, M.; Heymes, D. RWTH Aachen University https://doi.org/10.18154/rwth-2015-04225	text	January 2015
The gluon beam function at two loops Stahlhofen, Maximilian; Tackmann, Frank J.; Gaunt, Jonathan Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2014-04082	text	January 2014

Cited By (4)

N-jettiness subtractions for g g → H at subleading power Moult, Ian; Rothen, Lorena; Stewart, Iain W. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-01230	text	January 2018
Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme Caola, Fabrizio; Melnikov, Kirill; Röntsch, Raoul The European Physical Journal C, Vol. 79, Issue 5 https://doi.org/10.1140/epjc/s10052-019-6880-7	journal	May 2019
Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO Cieri, Leandro; Oleari, Carlo; Rocco, Marco The European Physical Journal C, Vol. 79, Issue 10 https://doi.org/10.1140/epjc/s10052-019-7361-8	journal	October 2019
Analytic results for decays of color singlets to gg and $$q \bar{q}$$qq¯ final states at NNLO QCD with the nested soft-collinear subtraction scheme Caola, Fabrizio; Melnikov, Kirill; Röntsch, Raoul The European Physical Journal C, Vol. 79, Issue 12 https://doi.org/10.1140/epjc/s10052-019-7505-x	journal	December 2019

Similar Records

Subleading power corrections for

N

-jettiness subtractions

Journal Article · Tue Apr 18 00:00:00 EDT 2017 · Physical Review. D. · OSTI ID:1417927

Moult, Ian; Rothen, Lorena; Stewart, Iain W.; +2 more

C

-parameter distribution at

N^{3} {LL}^{'}

including power corrections

Journal Article · Fri May 15 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1417927

Hoang, André H.; Kolodrubetz, Daniel W.; Mateu, Vicent; +1 more

Next-to-leading power corrections to

V + 1

jet production in

N

-jettiness subtraction

Journal Article · Wed Jan 01 00:00:00 EST 2020 · Physical Review. D. · OSTI ID:1417927

Boughezal, Radja; Isgrò, Andrea; Petriello, Frank

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: N -jettiness subtractions for g g → H at subleading power

Citation Formats

References (67)

Cited By (4)

Similar Records

Related Subjects

Title: $N$ -jettiness subtractions for $g g \to H$ at subleading power