DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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 Laboratory (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. doi: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 = {Wed May 03 00:00:00 EDT 2006},
month = {Wed May 03 00:00:00 EDT 2006}
}

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

Citation Metrics:
Cited by: 159 works
Citation information provided by
Web of Science

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

Save / Share:

Works referenced in this record:

Renormalization-group improved calculation of the $B\to X_s\gamma$ branching ratio
journal, March 2005


Toward a NNLO calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo>→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mi>γ</mml:mi></mml:math> decay rate with a cut on photon energy: I. Two-loop result for the soft function
journal, February 2006


Advanced predictions for moments of the B ¯ X s γ photon spectrum
journal, October 2005


Summation of large corrections to short-distance hadronic cross sections
journal, January 1987


Shape function effects in B X s γ and B X u l ν ¯ decays
journal, August 2004


Factorization and shape-function effects in inclusive B-meson decays
journal, November 2004


BX u l bar nu l decay distributions to order α s
journal, June 1999


An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001


Soft-collinear factorization in effective field theory
journal, February 2002


Soft-collinear effective theory and heavy-to-light currents beyond leading power
journal, November 2002


Spectator interactions in soft-collinear effective theory
journal, May 2003


Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry
journal, February 2003


Soft-collinear messengers: A new mode in soft-collinear effective theory
journal, March 2004


Analytical result for dimensionally regularized massless on-shell double box
journal, August 1999


Non-planar massless two-loop Feynman diagrams with four on-shell legs
journal, December 1999


An automatized algorithm to compute infrared divergent multi-loop integrals
journal, October 2000


Renormalized sum rules for structure functions of heavy meson decays
journal, February 1996


External operators and anomalous dimensions in soft-collinear effective theory
journal, February 2004


QCD coherent branching and semi-inclusive processes at large χ
journal, February 1991


Works referencing / citing this record:

Chromomagnetic dipole-operator corrections in B ¯ X s γ at O ( β 0 α s 2 )
journal, November 2010


Factorization and momentum-space resummation in deep-inelastic scattering
journal, January 2007


Two-loop N -jettiness soft function for p p 2 j production
journal, June 2019


Regularization-scheme dependence of QCD amplitudes in the massive case
journal, October 2016

  • Gnendiger, Ch.; Signer, A.; Visconti, A.
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/jhep10(2016)034

Color-singlet production at NNLO in MCFM
journal, December 2016


The NNLO QCD soft function for 1-jettiness
journal, March 2018


Renormalization-group improved prediction for Higgs production at hadron colliders
journal, April 2009


Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders
text, January 2017

  • Bertolini, Daniele; Kolodrubetz, Daniel; Neill, Duff
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-10804

On the structure of infrared singularities of gauge-theory amplitudes
journal, June 2009


Subleading power corrections for N -jettiness subtractions
journal, April 2017


Measurement of the B X s γ branching fraction and photon energy spectrum using the recoil method
journal, March 2008


Factorization at subleading power and irreducible uncertainties in $ \bar{B} \to {X_s}\gamma $ decay
journal, August 2010

  • Benzke, Michael; Lee, Seung J.; Neubert, Matthias
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/jhep08(2010)099

SCET approach to regularization-scheme dependence of QCD amplitudes
journal, January 2016

  • Broggio, A.; Gnendiger, Ch.; Signer, A.
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/jhep01(2016)078

NLL′ resummation of jet mass
journal, April 2019

  • Balsiger, Marcel; Becher, Thomas; Shao, Ding Yu
  • Journal of High Energy Physics, Vol. 2019, Issue 4
  • DOI: 10.1007/jhep04(2019)020

A case study of quark-gluon discrimination at NNLL $$'$$ ′ in comparison to parton showers
journal, November 2017


Driving missing data at the LHC: NNLO predictions for the ratio of γ + j and Z + j
journal, July 2017


Top-Quark Decay at Next-to-Next-to-Leading Order in QCD
journal, January 2013


Power corrections in the N -jettiness subtraction scheme
journal, March 2017

  • Boughezal, Radja; Liu, Xiaohui; Petriello, Frank
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/jhep03(2017)160

Phenomenology of the Z boson plus jet process at NNLO
journal, October 2016


N -jettiness subtractions for g g H at subleading power
journal, January 2018


QCD and strongly coupled gauge theories: challenges and perspectives
journal, October 2014


Estimate of B ( B ¯ X s γ ) at O ( α s 2 )
journal, January 2007


Using 1-Jettiness to Measure 2 Jets in DIS 3 ways
conference, December 2013

  • Kang, Daekyoung; Lee, Christopher; Stewart, Iain W.
  • Proceedings of XXI International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS 2013)
  • DOI: 10.22323/1.191.0158

A case study of quark-gluon discrimination at NNLL' in comparison to parton showers
text, January 2017

  • Mo, Jonathan; Tackmann, Frank J.; Waalewijn, Wouter J.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-10336

Threshold and Jet Radius Joint Resummation for Single-Inclusive Jet Production
text, January 2017

  • Liu, Xiaohui; Moch, Sven-Olaf; Ringer, Felix
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2018-00648

SCET approach to regularization-scheme dependence of QCD amplitudes
text, January 2016


Regularization-scheme dependence of QCD amplitudes in the massive case
text, January 2016


NLL′ resummation of jet mass
text, January 2019


Threshold and jet radius joint resummation for single-inclusive jet production
text, January 2017

  • Liu, Xiaohui; Moch, Sven-Olaf; Ringer, Felix
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-10324

Soft functions for generic jet algorithms and observables at hadron colliders
text, January 2017

  • Bertolini, Daniele; Kolodrubetz, Daniel; Neill, Duff
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-12467

Factorization and N3LLp+NNLO predictions for the Higgs cross section with a jet veto
text, January 2013


Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order
text, January 2013

  • Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/desy-2013-01006

A Case Study of Quark-Gluon Discrimination at NNLL$'$ in Comparison to Parton Showers
text, January 2017

  • Mo, Jonathan; Tackmann, Frank J.; Waalewijn, Wouter J.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-12772

QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives
text, January 2014


Two-loop soft corrections and resummation of the thrust distribution in the dijet region
text, January 2011


Treating the b quark distribution function with reliable uncertainties
text, January 2008


Direct photon production with effective field theory
text, January 2009


Jet Shapes and Jet Algorithms in SCET
text, January 2010


Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
text, January 2011


Resummation of Jet Mass at Hadron Colliders
text, January 2012


Top-Quark Decay at Next-to-Next-to-Leading Order in QCD
text, January 2012


Comparing and Counting Logs in Direct and Effective Methods of Resummation
text, January 2014


$W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
text, January 2015


N-jettiness Subtractions for NNLO QCD Calculations
preprint, January 2015


Hadron Fragmentation Inside Jets in Hadronic Collisions
text, January 2015


SCET approach to regularization-scheme dependence of QCD amplitudes
text, January 2015


Phenomenology of the Z-boson plus jet process at NNLO
text, January 2016


Color singlet production at NNLO in MCFM
text, January 2016


Effective field theory approach to heavy quark fragmentation
text, January 2016


Subleading Power Corrections for N-Jettiness Subtractions
text, January 2016


Power Corrections in the N-jettiness Subtraction Scheme
text, January 2016


Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders
text, January 2017


The NNLO QCD soft function for 1-jettiness
text, January 2017


Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
text, January 2006


Figures / Tables found in this record:

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.