29 research outputs found
Heavy Quark Effective Field Theory at O(1/m_Q^2). II. QCD Corrections to the Currents
We present a calculation of the renormalized heavy-light and heavy-heavy
currents in HQET at order O(1/m_Q^2).Comment: 14 pages, LaTeX (using amsmath.sty
Renormalizing Heavy Quark Effective Theory at O(1/m_Q^3)
We present a calculation of the renormalized HQET Lagrangian at order
O(1/m_Q^3) in the one particle sector. The anomalous dimensions of local
operators and time ordered products of dimension 7 contributing at this order
are calculated in the one loop approximation. We show that a careful treatment
of the time ordered products is necessary to arrive at a gauge independent
renormalized lagrangian. Our result sets the stage for an investigation of
reparametrization invariance at O(1/m_Q^3).Comment: Latex, epsfig. Improved teXnology and modified conclusions. The
complete paper, including figures, is also available via anonymous ftp at
ftp://ttpux2.physik.uni-karlsruhe.de/ , or via www at
http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints
Consistent Factorization of Jet Observables in Exclusive Multijet Cross-Sections
We demonstrate the consistency at the next-to-leading-logarithmic (NLL) level
of a factorization theorem based on Soft-Collinear Effective Theory (SCET) for
jet shapes in e+e- collisions. We consider measuring jet observables in
exclusive multijet final states defined with cone and k_T-type jet algorithms.
Consistency of the factorization theorem requires that the renormalization
group evolution of hard, jet, and soft functions is such that the physical
cross-section is independent of the factorization scale mu. The anomalous
dimensions of the various factorized pieces, however, depend on the color
representation of jets, choice of jet observable, the number of jets whose
shapes are measured, and the jet algorithm, making it highly nontrivial to
satisfy the consistency condition. We demonstrate the intricate cancellations
between anomalous dimensions that occur at the NLL level, so that, up to power
corrections that we identify, our factorization of the jet shape distributions
is consistent for any number of quark and gluon jets, for any number of jets
whose shapes are measured or unmeasured, for any angular size R of the jets,
and for any of the algorithms we consider. Corrections to these results are
suppressed by the SCET expansion parameter lambda (the ratio of soft to
collinear or collinear to hard scales) and in the jet separation measure 1/t^2
= tan^2(R/2)/tan^2(psi/2), where psi is the angular separation between jets.
Our results can be used to calculate a wide variety of jet observables in
multijet final states to NLL accuracy.Comment: 8 pages, 1 figure, uses elsarticle.cls; v2: minor edits, added
reference
Spectator Effects in Heavy Quark Effective Theory at O(1/m_Q^3)
We complete the one loop renormalization of the HQET lagrangian at O(1/m_Q^3)
including four fermion operators with two heavy and two light quark fields in
the operator basis. It is shown that as a consequence the short distance
coefficients of the operators bilinear in the heavy quark field receive
nontrivial corrections.Comment: Latex, Latex-extension epsfig. The complete paper, including figures,
is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/
, or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints
Evolution of the Light Cone Distribution Function for a Heavy Quark
We compute the one-loop anomalous dimension for the light cone distribution
function of a heavy quark and solve the corresponding evolution equation
analytically. Some implications of the results for inclusive decays are
discussed.Comment: Latex extensions amsmath, epsfig required The complete paper,
including figures, is also available via anonymous ftp at
ftp://ttpux2.physik.uni-karlsruhe.de/ , or via www at
http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints
Non-global Structure of the O({\alpha}_s^2) Dijet Soft Function
High energy scattering processes involving jets generically involve matrix
elements of light- like Wilson lines, known as soft functions. These describe
the structure of soft contributions to observables and encode color and
kinematic correlations between jets. We compute the dijet soft function to
O({\alpha}_s^2) as a function of the two jet invariant masses, focusing on
terms not determined by its renormalization group evolution that have a
non-separable dependence on these masses. Our results include non-global single
and double logarithms, and analytic results for the full set of non-logarithmic
contributions as well. Using a recent result for the thrust constant, we
present the complete O({\alpha}_s^2) soft function for dijet production in both
position and momentum space.Comment: 55 pages, 8 figures. v2: extended discussion of double logs in the
hard regime. v3: minor typos corrected, version published in JHEP. v4: typos
in Eq. (3.33), (3.39), (3.43) corrected; this does not affect the main
result, numerical results, or conclusion
Jet Shapes and Jet Algorithms in SCET
Jet shapes are weighted sums over the four-momenta of the constituents of a
jet and reveal details of its internal structure, potentially allowing
discrimination of its partonic origin. In this work we make predictions for
quark and gluon jet shape distributions in N-jet final states in e+e-
collisions, defined with a cone or recombination algorithm, where we measure
some jet shape observable on a subset of these jets. Using the framework of
Soft-Collinear Effective Theory, we prove a factorization theorem for jet shape
distributions and demonstrate the consistent renormalization-group running of
the functions in the factorization theorem for any number of measured and
unmeasured jets, any number of quark and gluon jets, and any angular size R of
the jets, as long as R is much smaller than the angular separation between
jets. We calculate the jet and soft functions for angularity jet shapes \tau_a
to one-loop order (O(alpha_s)) and resum a subset of the large logarithms of
\tau_a needed for next-to-leading logarithmic (NLL) accuracy for both cone and
kT-type jets. We compare our predictions for the resummed \tau_a distribution
of a quark or a gluon jet produced in a 3-jet final state in e+e- annihilation
to the output of a Monte Carlo event generator and find that the dependence on
a and R is very similar.Comment: 62 pages plus 21 pages of Appendices, 13 figures, uses JHEP3.cls. v2:
corrections to finite parts of NLO jet functions, minor changes to plots,
clarified discussion of power corrections. v3: Journal version. Introductory
sections significantly reorganized for clarity, classification of logarithmic
accuracy clarified, results for non-Mercedes-Benz configurations adde