6,104 research outputs found
How to Integrate Divergent Integrals: a Pure Numerical Approach to Complex Loop Calculations
Loop calculations involve the evaluation of divergent integrals.
Usually [1] one computes them in a number of dimensions different than four
where the integral is convergent and then one performs the analytical
continuation and considers the Laurent expansion in powers of epsilon =n-4. In
this paper we discuss a method to extract directly all coefficients of this
expansion by means of concrete and well defined integrals in a five dimensional
space. We by-pass the formal and symbolic procedure of analytic continuation;
instead we can numerically compute the integrals to extract directly both the
coefficient of the pole 1/epsilon and the finite part.Comment: 13 pages, 1 Postscript figur
Color-flow decomposition of QCD amplitudes
We introduce a new color decomposition for multi-parton amplitudes in QCD,
free of fundamental-representation matrices and structure constants. This
decomposition has a physical interpretation in terms of the flow of color,
which makes it ideal for merging with shower Monte-Carlo programs. The
color-flow decomposition allows for very efficient evaluation of amplitudes
with many quarks and gluons, many times faster than the standard color
decomposition based on fundamental-representation matrices. This will increase
the speed of event generators for multi-jet processes, which are the principal
backgrounds to signals of new physics at colliders.Comment: 23 pages, 11 figures, version to appear on Phys. Rev.
Rotor burst protection program: Experimentation to provide guidelines for the design of turbine rotor burst fragment containment rings
Empirical guidelines for the design of minimum weight turbine rotor disk fragment containment rings made from a monolithic metal were generated by experimentally establishing the relationship between a variable that provides a measure of containment ring capability and several other variables that both characterized the configurational aspects of the rotor fragments and containment ring, and had been found from exploratory testing to have had significant influence on the containment process. Test methodology and data analysis techniques are described. Results are presented in graphs and tables
MadEvent: Automatic Event Generation with MadGraph
We present a new multi-channel integration method and its implementation in
the multi-purpose event generator MadEvent, which is based on MadGraph. Given a
process, MadGraph automatically identifies all the relevant subprocesses,
generates both the amplitudes and the mappings needed for an efficient
integration over the phase space, and passes them to MadEvent. As a result, a
process-specific, stand-alone code is produced that allows the user to
calculate cross sections and produce unweighted events in a standard output
format. Several examples are given for processes that are relevant for physics
studies at present and forthcoming colliders.Comment: 11 pages, MadGraph home page at http://madgraph.physics.uiuc.ed
Extending CKKW-merging to One-Loop Matrix Elements
We extend earlier schemes for merging tree-level matrix elements with parton
showers to include also merging with one-loop matrix elements. In this paper we
make a first study on how to include one-loop corrections, not only for events
with a given jet multiplicity, but simultaneously for several different jet
multiplicities. Results are presented for the simplest non-trivial case of
hadronic events at LEP as a proof-of-concept
Four Statements about the Fourth Generation
This summary of the Workshop "Beyond the 3-generation SM in the LHC era"
presents a brief discussion of the following four statements about the fourth
generation: 1) It is not excluded by EW precision data; 2) It addresses some of
the currently open questions; 3) It can accommodate emerging possible hints of
new physics; 4) LHC has the potential to discover or fully exclude it.Comment: Summary of the "Beyond the 3-generation SM in the LHC era" Workshop,
CERN, September 4-5, 2008; 7 pages. V2: updated bibliography and minor typos
fixed. To appear in PMC Physics
Quartic Gauge Couplings and the Radiation Zero in pp to l nu gamma gamma events at the LHC
We report a study of the process pp to l nu gamma gamma at CERN's Large
Hadron Collider, using a leading order partonic-level event generator
interfaced to the Pythia program for showering and hadronisation and a with a
generic detector simulation. The process is sensitive to possible anomalous
quartic gauge boson couplings of the form W W gamma gamma. It is shown how
unitarity-safe limits may be placed on these anomalous couplings by applying a
binned maximum likelihood fit to the distribution of the two-photon invariant
mass, M(gamma gamma), below a cutoff of 1TeV. Assuming 30fb-1 of integrated
luminosity, the expected limits are two orders of magnitude tighter than those
available from LEP. It is also demonstrated how the Standard Model radiation
zero feature of the qq to W gamma gamma process may be observed in the
difference between the two-photon and charged lepton pseudo-rapidities.Comment: 9 pages, 7 figure
Statistics and UV-IR Mixing with Twisted Poincare Invariance
We elaborate on the role of quantum statistics in twisted Poincare invariant
theories. It is shown that, in order to have twisted Poincare group as the
symmetry of a quantum theory, statistics must be twisted. It is also confirmed
that the removal of UV-IR mixing (in the absence of gauge fields) in such
theories is a natural consequence.Comment: 13 pages, LaTeX; typos correcte
One Loop Multiphoton Helicity Amplitudes
We use the solutions to the recursion relations for double-off-shell fermion
currents to compute helicity amplitudes for -photon scattering and
electron-positron annihilation to photons in the massless limit of QED. The
form of these solutions is simple enough to allow {\it all}\ of the
integrations to be performed explicitly. For -photon scattering, we find
that unless , the amplitudes for the helicity configurations (+++...+) and
(-++...+) vanish to one-loop order.Comment: 27 pages + 4 uuencoded figures (included), Fermilab-Pub-93/327-T,
RevTe
Efficient Color-Dressed Calculation of Virtual Corrections
With the advent of generalized unitarity and parametric integration
techniques, the construction of a generic Next-to-Leading Order Monte Carlo
becomes feasible. Such a generator will entail the treatment of QCD color in
the amplitudes. We extend the concept of color dressing to one-loop amplitudes,
resulting in the formulation of an explicit algorithmic solution for the
calculation of arbitrary scattering processes at Next-to-Leading order. The
resulting algorithm is of exponential complexity, that is the numerical
evaluation time of the virtual corrections grows by a constant multiplicative
factor as the number of external partons is increased. To study the properties
of the method, we calculate the virtual corrections to -gluon scattering.Comment: 48 pages, 23 figure
- …