skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Integrated and differential accuracy in resummed cross sections

Abstract

Standard QCD resummation techniques provide precise predictions for the spectrum and the cumulant of a given observable. The integrated spectrum and the cumulant differ by higher-order terms which, however, can be numerically significant. Here in this paper we propose a method, which we call the σ-improved scheme, to resolve this issue. It consists of two steps: (i) include higher-order terms in the spectrum to improve the agreement with the cumulant central value, and (ii) employ profile scales that encode correlations between different points to give robust uncertainty estimates for the integrated spectrum. We provide a generic algorithm for determining such profile scales, and show the application to the thrust distribution in e +e - collisions at NLL'+NLO and NNLL'+NNLO.

Authors:
 [1];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1430676
Alternate Identifier(s):
OSTI ID: 1349392
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bertolini, Daniele, Solon, Mikhail P., and Walsh, Jonathan R. Integrated and differential accuracy in resummed cross sections. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.054024.
Bertolini, Daniele, Solon, Mikhail P., & Walsh, Jonathan R. Integrated and differential accuracy in resummed cross sections. United States. doi:10.1103/PhysRevD.95.054024.
Bertolini, Daniele, Solon, Mikhail P., and Walsh, Jonathan R. Thu . "Integrated and differential accuracy in resummed cross sections". United States. doi:10.1103/PhysRevD.95.054024. https://www.osti.gov/servlets/purl/1430676.
@article{osti_1430676,
title = {Integrated and differential accuracy in resummed cross sections},
author = {Bertolini, Daniele and Solon, Mikhail P. and Walsh, Jonathan R.},
abstractNote = {Standard QCD resummation techniques provide precise predictions for the spectrum and the cumulant of a given observable. The integrated spectrum and the cumulant differ by higher-order terms which, however, can be numerically significant. Here in this paper we propose a method, which we call the σ-improved scheme, to resolve this issue. It consists of two steps: (i) include higher-order terms in the spectrum to improve the agreement with the cumulant central value, and (ii) employ profile scales that encode correlations between different points to give robust uncertainty estimates for the integrated spectrum. We provide a generic algorithm for determining such profile scales, and show the application to the thrust distribution in e+e- collisions at NLL'+NLO and NNLL'+NNLO.},
doi = {10.1103/PhysRevD.95.054024},
journal = {Physical Review D},
number = 5,
volume = 95,
place = {United States},
year = {Thu Mar 30 00:00:00 EDT 2017},
month = {Thu Mar 30 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share: