52 research outputs found
A New Approach for Analytic Amplitude Calculations
We present a method for symbolic calculation of Feynman amplitudes for
processes involving both massless and massive fermions. With this approach
fermion strings in a specific amplitude can be easily evaluated and expressed
as basic Lorentz scalars. The new approach renders the symbolic calculation of
some complicated physical processes more feasible and easier, especially with
the assistance of algebra manipulating codes for computer.Comment: LaTex, no figure, to appear in PR
Equivalent BC properties during the COVID 19 spring 2020 lockdown period in Brussels, Belgium, compared to non lockdown periods
Inelastic production in polarized photon-hadron collisions
Presented here is a calculation of inelastic production in polarized
photon-hadron collisions under the framework of NRQCD factorization formalism.
We consider the photoproduction of \jpsi in the energy range relevant to
HERA. The Weizs\"acker-Williams approximation is adopted in the evaluation of
the cross sections for collisions. We found that this process can give
another independent test for the color-octet mechanism, and the different
features for the two color-octet processes may provide further informations on
the mechanism for inelastic \jpsi photoproduction. And the discrepancy on the
production asymmetry between various sets of polarized gluon distribution
functions is also found to be distinctive.Comment: 14pages, 6 PS figure
Hadronic Production with QCD Corrections and Leptonic Decays
The process , where
denotes a lepton, is calculated to order . Total and differential
cross sections, with acceptance cuts imposed on the leptons and photon, are
given for the Tevatron and LHC center of mass energies. In general, invariant
mass and angular distributions are simply scaled up in magnitude by the QCD
radiative corrections, whereas in transverse momentum distributions, the QCD
radiative corrections increase with the transverse momentum.Comment: 16 pages + 9 figures, UCD-94-29. A postscript version and 9
postscript figures are available via anonymous ftp to UCDHEP.UCDAVIS.EDU in
the directory [.ohnemus.ucd-94-29
Multiloop String-Like Formulas for QED
Multiloop gauge-theory amplitudes written in the Feynman-parameter
representation are poised to take advantage of two important developments of
the last decade: the spinor-helicity technique and the superstring
reorganization. The former has been considered in a previous article; the
latter will be elaborated in this paper. We show here how to write multiloop
string-like formulas in the Feynman-parameter representation for any process in
QED, including those involving other non-electromagnetic interactions. The
general connection between the Feynman-parameter approach and the
superstring/first-quantized approach is discussed. In the special case of a
one-loop multi-photon amplitude, these formulas reduce to the ones obtained by
the superstring and the first quantized methods. The string-like formulas
exhibits a simple gauge structure which makes the Ward-Takahashi identity
apparent, and enables the integration-by-parts technique of Bern and Kosower to
be applied, so that gauge-invariant parts can be extracted diagram-by-diagram
with the seagull vertex neglected.Comment: 25 pages in Plain Tex, plus four figures in a postscript file;
McGill/92-5
Collider signatures of goldstini in gauge mediation
We investigate the collider signatures of the multiple goldstini scenario in
the framework of gauge mediation. This class of models is characterized by a
visible sector (e.g. the MSSM or any extension) coupled by gauge interactions
to more than one SUSY breaking sector. The spectrum consists of a light
gravitino LSP, behaving as a goldstino, and a number of neutral fermions (the
pseudo-goldstini) with a mass between that of the LSP and that of the lightest
particle of the observable sector (LOSP). We consider the two situations where
the LOSP is either a gaugino-like neutralino or a stau and we assume only one
pseudo-goldstino of a mass of O(100) GeV. The coupling of the LOSP to the
pseudo-goldstino can be enhanced with respect to those of the gravitino giving
rise to characteristic signatures. We show that the decay modes of the LOSP
into a SM particle and a pseudo-goldstino can be significant. For both LOSP
scenarios we analyze (pseudo)-goldstini production at colliders. Compared to
standard gauge mediation the final state spectrum is softer and more
structured.Comment: v2: analysis of the stau LOSP scenario added, sections rearranged,
and Introduction and Conclusions rewritten to include the added scenario.
Version to appear in JHE
Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
We present the calculation of the nf-contributions to the two-loop amplitude
for e+ e- --> q qbar g and give results for the full one-loop amplitude to
order eps^2 in the dimensional regularization parameter. Our results agree with
those recently obtained by Garland et al.. The calculation makes extensive use
of an efficient method based on nested sums to calculate two-loop integrals
with arbitrary powers of the propagators. The use of nested sums leads in a
natural way to multiple polylogarithms with simple arguments, which allow a
straightforward analytic continuation.Comment: 31 pages, a file "coefficients.h" with the results in FORM format is
include
Global conformal anomaly in N=2 string
We show the existence of a global anomaly in the one-loop graphs of N=2
string theory, defined by sewing tree amplitudes, unless spacetime
supersymmetry is imposed. The anomaly is responsible for the non-vanishing
maximally helicity violating amplitudes. The supersymmetric completion of the
N=2 string spectrum is formulated by extending the previous cohomological
analysis with an external spin factor; the target space-time spin-statistics of
these individual fields in a selfdual background are compatible with previous
cohomological analysis as fields of arbitrary spin may be bosonized into one
another. We further analyze duality relations between the open and closed
string amplitudes and demonstrate this in the supersymmetric extension of the
target space-time theory through the insertion of zero-momentum operators.Comment: 29 pages, LaTeX, one figur
A combined approach for analysing heuristic algorithms
When developing optimisation algorithms, the focus often lies on obtaining an algorithm that is able to outperform other existing algorithms for some performance measure. It is not common practice to question the reasons for possible performance differences observed. These types of questions relate to evaluating the impact of the various heuristic parameters and often remain unanswered. In this paper, the focus is on gaining insight in the behaviour of a heuristic algorithm by investigating how the various elements operating within the algorithm correlate with performance, obtaining indications of which combinations work well and which do not, and how all these effects are influenced by the specific problem instance the algorithm is solving. We consider two approaches for analysing algorithm parameters and componentsâfunctional analysis of variance and multilevel regression analysisâand study the benefits of using both approaches jointly. We present the results of a combined methodology that is able to provide more insights than when the two approaches are used separately. The illustrative case studies in this paper analyse a large neighbourhood search algorithm applied to the vehicle routing problem with time windows and an iterated local search algorithm for the unrelated parallel machine scheduling problem with sequence-dependent setup times.PostprintPeer reviewe
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