Subleading power factorization with radiative functions

Moult, Ian; Stewart, Iain W.; Vita, Gherardo

doi:10.1007/jhep11(2019)153

Title: Subleading power factorization with radiative functions

Abstract

The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. Here, the use of SCET enables us to determine the complete set of radiative functions that appear to O(λ²) in the power expansion, to all orders in α_s. For the particular case of event shape observables in e⁺e^– → dijets we derive how the radiative functions contribute to the factorized cross section to O(λ²).

Authors:

Moult, Ian ^[1]; Stewart, Iain W. ^[2];

^[2]

Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Tue Nov 26 00:00:00 EST 2019

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), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); Simons Foundation

OSTI Identifier:: 1658921

Alternate Identifier(s):: OSTI ID: 1635602

Grant/Contract Number:: AC02-05CH11231; SC0011090; 327942

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: 2019; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Moult, Ian, Stewart, Iain W., and Vita, Gherardo. Subleading power factorization with radiative functions.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep11(2019)153.

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                    Moult, Ian, Stewart, Iain W., & Vita, Gherardo. Subleading power factorization with radiative functions.  United States.  https://doi.org/10.1007/jhep11(2019)153

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                    Moult, Ian, Stewart, Iain W., and Vita, Gherardo. Tue .  
"Subleading power factorization with radiative functions".  United States.  https://doi.org/10.1007/jhep11(2019)153.  https://www.osti.gov/servlets/purl/1658921.

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@article{osti_1658921,

  title        = {Subleading power factorization with radiative functions},

  author       = {Moult, Ian and Stewart, Iain W. and Vita, Gherardo},

  abstractNote = {The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. Here, the use of SCET enables us to determine the complete set of radiative functions that appear to O(λ2) in the power expansion, to all orders in αs. For the particular case of event shape observables in e+e– → dijets we derive how the radiative functions contribute to the factorized cross section to O(λ2).},

  doi          = {10.1007/jhep11(2019)153},

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

  number       = 11,

  volume       = 2019,

  place        = {United States},

  year         = {Tue Nov 26 00:00:00 EST 2019},

  month        = {Tue Nov 26 00:00:00 EST 2019}

}

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Figure 1: Subleading power contributions from the emission of a soft quark or gluon in a hard scattering. The subleading emission can either be from a local hard scattering operator, as shown in a), c), or from a radiative contribution from the energetic partons, as in b), d).

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text, January 2014

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arXiv
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text, January 2014

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arXiv
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text, January 2014

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arXiv
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text, January 2015

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

Gaunt, Jonathan; Stahlhofen, Maximilian; Tackmann, Frank J.
arXiv
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Higher-twist corrections to gluon TMD factorization
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arXiv
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Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production
text, January 2018

Boughezal, Radja; Isgrò, Andrea; Petriello, Frank
arXiv
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Soft-collinear effective theory and heavy-to-light currents beyond leading power
text, January 2002

Beneke, M.; Chapovsky, A. P.; Diehl, M.
arXiv
DOI: 10.48550/arxiv.hep-ph/0206152

On Power Suppressed Operators and Gauge Invariance in SCET
text, January 2003

Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W.
arXiv
DOI: 10.48550/arxiv.hep-ph/0303156

Revisiting parton evolution and the large-x limit
text, January 2005

Dokshitzer, Yu. L.; Marchesini, G.; Salam, G. P.
arXiv
DOI: 10.48550/arxiv.hep-ph/0511302

Works referencing / citing this record:

Resummation of double logarithms in loop-induced processes with effective field theory
preprint, January 2019

Wang, Jian
arXiv
DOI: 10.48550/arxiv.1912.09920

N-jettiness beam functions at N3LO
text, January 2020

Ebert, Markus; Mistlberger, Bernhard; Vita, Gherardo
arXiv
DOI: 10.48550/arxiv.2006.03056

Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
text, January 2020

Oleari, Carlo; Rocco, Marco
arXiv
DOI: 10.48550/arxiv.2012.10538

Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
text, January 2021

Ebert, Markus A.; Gao, Anjie; Stewart, Iain W.
arXiv
DOI: 10.48550/arxiv.2112.07680

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Helicity methods for high multiplicity subleading soft and collinear limits
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QCD nonleading corrections to weak decays in dimensional regularization and 't Hooft-Veltman schemes
journal, March 1990

Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
journal, July 2004

Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
journal, March 2019

Power corrections for N-jettiness subtractions at O α s $$ \mathcal{O}\left({\alpha}_s\right) $$
journal, December 2018

Higher-twist corrections to gluon TMD factorization
journal, July 2017

An Effective Field Theory for Forward Scattering and Factorization Violation
text, January 2016

New Fermionic Soft Theorems for Supergravity Amplitudes
journal, July 2015

Renormalization of dijet operators at order 1/Q2 in soft-collinear effective theory
journal, May 2018

Jets and quantum field theory
journal, August 1996

Introduction
book, January 2015

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

Higgs boson gluon-fusion production beyond threshold in N3LO QCD
text, January 2015

The four-loop six-gluon NMHV ratio function
journal, January 2016

Revisiting parton evolution and the large-x limit
journal, March 2006

Analytic boosted boson discrimination
journal, May 2016

Asymptotic solutions of the evolution equation for the polarized nucleon structure function g2(x, Q2)
text, January 1991

QCD corrections to the nucleon's spin structure function g2(x, Q2)
journal, October 1996

Non-Lagrangian Models of Current Algebra
journal, March 1969

Differential Higgs production at N3LO beyond threshold
journal, January 2018

Subleading shape functions and the determination of |Vub|
journal, September 2002

High-energy limit of mass-suppressed amplitudes in gauge theories
journal, November 2018

Higher-twist corrections to gluon TMD factorization
text, January 2017

Invariant operators in collinear effective theory
journal, September 2001

Renormalization of twist-three operators and integrable lattice models
text, January 1999

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

Soft gluons and factorization
journal, October 1988

Heptagons from the Steinmann Cluster Bootstrap
text, January 2016

Heavy-to-light B meson form factors at large recoil energy—spectator-scattering corrections
journal, February 2006

Scale dependence of twist-three contributions to single spin asymmetries
journal, December 2009

New angles on energy correlation functions
journal, December 2016

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

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

A complete basis of helicity operators for subleading factorization
journal, November 2017

Residual Local Supersymmetry and the Soft Gravitino
text, January 2015

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

Subleading Power Rapidity Divergences and Power Corrections for $q_T$
text, January 2019

What is the Simplest Quantum Field Theory?
text, January 2008

Multi-soft gluon limits and extended current algebras at null-infinity
journal, August 2017

Higgs boson gluon-fusion production beyond threshold in N3LO QCD
journal, March 2015

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
text, January 2016

Soft-collinear effective theory and heavy-to-light currents beyond leading power
text, January 2002

Subleading Shape Functions and the Determination of |V_{ub}|
text, January 2002

Soft expansion of double-real-virtual corrections to Higgs production at N3LO
text, January 2015

Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
text, January 2017

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

Double-Soft Limits of Gluons and Gravitons
preprint, January 2015

Subleading Shape Functions in Inclusive B Decays
journal, November 2004

Infrared factorization in inclusive B meson decays
journal, December 1994

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

Soft theorems from effective field theory
journal, June 2015

On threshold resummation beyond leading 1 − x order
journal, October 2009

Higgs Boson Gluon-Fusion Production in QCD at Three Loops
journal, May 2015

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

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

Scale dependence of the chiral-odd twist-3 distributions hL(x) and e(x)
journal, October 1997