A subleading operator basis and matching for gg → H
The Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well studied, much less is known at subleading powers in the λ << 1 expansion. In SCET subleading soft and collinear corrections to a hard scattering process are described by power suppressed operators, which must be fixed case by case, and by well established power suppressed Lagrangians, which correct the leading power dynamics of soft and collinear radiation. Here we present a complete basis of power suppressed operators for gg → H, classifying all operators which contribute to the cross section at O(λ ^{2}), and showing how helicity selection rules significantly simplify the construction of the operator basis. We perform matching calculations to determine the tree level Wilson coefficients of our operators. These results are useful for studies of power corrections in both resummed and fixed order perturbation theory, and for understanding the factorization properties of gauge theory amplitudes and cross sections at subleading power. As one example, our basis of operators can be used to analytically compute power corrections for N jettiness subtractions for gg induced color singlet production at the LHC.
 Authors:

^{[1]};
^{[2]};
^{[2]}
 Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; higgs physics; perturbative QCD; resummation
 OSTI Identifier:
 1408447
Moult, Ian, Stewart, Iain W., and Vita, Gherardo. A subleading operator basis and matching for gg → H. United States: N. p.,
Web. doi:10.1007/JHEP07(2017)067.
Moult, Ian, Stewart, Iain W., & Vita, Gherardo. A subleading operator basis and matching for gg → H. United States. doi:10.1007/JHEP07(2017)067.
Moult, Ian, Stewart, Iain W., and Vita, Gherardo. 2017.
"A subleading operator basis and matching for gg → H". United States.
doi:10.1007/JHEP07(2017)067. https://www.osti.gov/servlets/purl/1408447.
@article{osti_1408447,
title = {A subleading operator basis and matching for gg → H},
author = {Moult, Ian and Stewart, Iain W. and Vita, Gherardo},
abstractNote = {The Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well studied, much less is known at subleading powers in the λ << 1 expansion. In SCET subleading soft and collinear corrections to a hard scattering process are described by power suppressed operators, which must be fixed case by case, and by well established power suppressed Lagrangians, which correct the leading power dynamics of soft and collinear radiation. Here we present a complete basis of power suppressed operators for gg → H, classifying all operators which contribute to the cross section at O(λ2), and showing how helicity selection rules significantly simplify the construction of the operator basis. We perform matching calculations to determine the tree level Wilson coefficients of our operators. These results are useful for studies of power corrections in both resummed and fixed order perturbation theory, and for understanding the factorization properties of gauge theory amplitudes and cross sections at subleading power. As one example, our basis of operators can be used to analytically compute power corrections for N jettiness subtractions for gg induced color singlet production at the LHC.},
doi = {10.1007/JHEP07(2017)067},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}