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Title: Toward a NNLO calculation of the B ¯ X s γ decay rate with a cut on photon energy: II. Two-loop result for the jet function

Abstract

The complete two-loop expression for the jet function J(p2,μ) of soft-collinear effective theory is presented, including non-logarithmic terms. Combined with our previous calculation of the soft function S(ω,μ), this result provides the basis for a calculation of the effect of a photon-energy cut in the measurement of the B ¯ X s γ decay rate at next-to-next-to-leading order in renormalization-group improved perturbation theory. The jet function is also relevant to the resummation of Sudakov logarithms in other hard QCD processes.

Authors:
 [1];  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  2. Cornell Univ., Ithaca, NY (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
892345
Report Number(s):
hep-ph/0603140; CLNS-06-1954; FERMILAB-PUB-06-057-T
Journal ID: ISSN 0370-2693; 712741; TRN: US0701276
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Volume: 637; Journal Issue: 4-5; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DECAY; GAMMA DECAY; PERTURBATION THEORY; PHOTONS; QUANTUM CHROMODYNAMICS; Phenomenology-HEP

Citation Formats

Becher, Thomas, and Neubert, Matthias. Toward a NNLO calculation of the B¯→Xsγ decay rate with a cut on photon energy: II. Two-loop result for the jet function. United States: N. p., 2006. Web. https://doi.org/10.1016/j.physletb.2006.04.046.
Becher, Thomas, & Neubert, Matthias. Toward a NNLO calculation of the B¯→Xsγ decay rate with a cut on photon energy: II. Two-loop result for the jet function. United States. https://doi.org/10.1016/j.physletb.2006.04.046
Becher, Thomas, and Neubert, Matthias. Wed . "Toward a NNLO calculation of the B¯→Xsγ decay rate with a cut on photon energy: II. Two-loop result for the jet function". United States. https://doi.org/10.1016/j.physletb.2006.04.046. https://www.osti.gov/servlets/purl/892345.
@article{osti_892345,
title = {Toward a NNLO calculation of the B¯→Xsγ decay rate with a cut on photon energy: II. Two-loop result for the jet function},
author = {Becher, Thomas and Neubert, Matthias},
abstractNote = {The complete two-loop expression for the jet function J(p2,μ) of soft-collinear effective theory is presented, including non-logarithmic terms. Combined with our previous calculation of the soft function S(ω,μ), this result provides the basis for a calculation of the effect of a photon-energy cut in the measurement of the B¯→Xsγ decay rate at next-to-next-to-leading order in renormalization-group improved perturbation theory. The jet function is also relevant to the resummation of Sudakov logarithms in other hard QCD processes.},
doi = {10.1016/j.physletb.2006.04.046},
journal = {Physics Letters B},
number = 4-5,
volume = 637,
place = {United States},
year = {2006},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 130 works
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Figures / Tables:

Figure 1 Figure 1: Two-loop diagrams contributing to the jet function in QCD. Gluons emitted from the crossed circles originate from the Wilson lines. Not shown are additional diagrams resulting from mirror images in which the two external points are exchanged. The first diagram is the full fermion two-point function, not justmore » the one-particle irreducible part.« less

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