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Title: Electroweak logarithms in inclusive cross sections

Abstract

We expand the framework to perform all-orders resummation of electroweak logarithms of Q/M for inclusive scattering processes at energies Q much above the electroweak scale M. We determine all ingredients needed at next-to-leading logarithmic (NLL) order and provide an explicit recipe to implement this for 2 → 2 processes. PDF evolution including electroweak corrections, which lead to Sudakov double logarithms, is computed. If only the invariant mass of the final state is measured, all electroweak logarithms can be resummed by the PDF evolution, at least to LL. However, simply identifying a lepton in the final state requires the corresponding fragmentation function and introduces angular dependence through the exchange of soft gauge bosons. Furthermore, we show the importance of polarization effects for gauge bosons, due to the chiral nature of SU(2) — even the gluon distribution in an unpolarized proton becomes polarized at high scales due to electroweak effects. We justify our approach with a factorization analysis, finding that the objects entering the factorization theorem do not need to be SU(2) × U(1) gauge singlets, even though we perform the factorization and resummation in the symmetric phase. We also discuss a range of extensions, including jets and how to calculate themore » EW logarithms when you are fully exclusive in the central (detector) region and fully inclusive in the forward (beam) regions.« less

Authors:
 [1]; ORCiD logo [2]
  1. Univ. of California, San Diego, CA (United States)
  2. Univ. of Amsterdam, Amsterdam (Netherlands); Nikhef Theory Group, Amsterdam (Netherlands)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1504751
Grant/Contract Number:  
[SC0009919]
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: 8]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Deep Inelastic Scattering (Phenomenology); Jets

Citation Formats

Manohar, Aneesh V., and Waalewijn, Wouter J. Electroweak logarithms in inclusive cross sections. United States: N. p., 2018. Web. doi:10.1007/jhep08(2018)137.
Manohar, Aneesh V., & Waalewijn, Wouter J. Electroweak logarithms in inclusive cross sections. United States. doi:10.1007/jhep08(2018)137.
Manohar, Aneesh V., and Waalewijn, Wouter J. Wed . "Electroweak logarithms in inclusive cross sections". United States. doi:10.1007/jhep08(2018)137. https://www.osti.gov/servlets/purl/1504751.
@article{osti_1504751,
title = {Electroweak logarithms in inclusive cross sections},
author = {Manohar, Aneesh V. and Waalewijn, Wouter J.},
abstractNote = {We expand the framework to perform all-orders resummation of electroweak logarithms of Q/M for inclusive scattering processes at energies Q much above the electroweak scale M. We determine all ingredients needed at next-to-leading logarithmic (NLL) order and provide an explicit recipe to implement this for 2 → 2 processes. PDF evolution including electroweak corrections, which lead to Sudakov double logarithms, is computed. If only the invariant mass of the final state is measured, all electroweak logarithms can be resummed by the PDF evolution, at least to LL. However, simply identifying a lepton in the final state requires the corresponding fragmentation function and introduces angular dependence through the exchange of soft gauge bosons. Furthermore, we show the importance of polarization effects for gauge bosons, due to the chiral nature of SU(2) — even the gluon distribution in an unpolarized proton becomes polarized at high scales due to electroweak effects. We justify our approach with a factorization analysis, finding that the objects entering the factorization theorem do not need to be SU(2) × U(1) gauge singlets, even though we perform the factorization and resummation in the symmetric phase. We also discuss a range of extensions, including jets and how to calculate the EW logarithms when you are fully exclusive in the central (detector) region and fully inclusive in the forward (beam) regions.},
doi = {10.1007/jhep08(2018)137},
journal = {Journal of High Energy Physics (Online)},
number = [8],
volume = [2018],
place = {United States},
year = {2018},
month = {8}
}

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