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

Journal Article · Tue Nov 26 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2019)153· OSTI ID:1658921

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)

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).

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

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

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

OSTI ID:: 1658921

Alternate ID(s):: OSTI ID: 1635602

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 11; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 37 works

Citation information provided by
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