REVIEW
MadEvent: Automatic Event Generation with MadGraph
High Energy Physics - Phenomenology · Submitted 15 Aug 2002 · 23 references
Pith's verdict: The decomposition in Eq. 2.5 is a real and exact idea with a working public implementation; the efficiency claim that motivates it is asserted, never measured.
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Referee report
The paper
The paper claims
The paper proposes replacing one hard multi-channel Monte Carlo integral with one independent integration per Feynman diagram, each mapped by its own channel, and implements the scheme in the event generator MadEvent.
The reading
What carries the argument
The load-bearing object is the diagram-by-diagram decomposition $f_i = (|A_i|^2 / Σ_j |A_j|^2)|A_{tot}|^2$, paired with a channel $g_i$ obtained from the propagator structure of diagram $i$. The decomposition does the bookkeeping: it converts a single integrand with many overlapping peaks into a set of integrands each of which is supposed to have one dominant peak, and it makes the sum over diagrams a sum over independent Monte Carlo runs. The mapping does the work: because a propagator going on shell or a collinear splitting produces a known peak shape, MadGraph can read off, per diagram, the variable transformation that flattens that peak, and hand it to MadEvent. Together they turn the question 'which channel should I sample this point from?' into 'which diagram does this point belong to?', which is answered before any sampling happens.
Extended reading notes
Core claim
The central claim is an identity plus an efficiency argument. The identity is that the squared amplitude can be decomposed as $f = Σ_i f_i$ with $f_i = (|A_i|^2 / Σ_j |A_j|^2) |A_{tot}|^2$, where $A_i$ is a single Feynman diagram and $A_{tot} = Σ_i A_i$; each $f_i$ is non-negative and the pieces sum exactly to $|A_{tot}|^2$, so the total integral is a sum of $n$ independent integrals, $I = Σ_i I_i$. The efficiency argument is that the peak structure of each $f_i$ is claimed to be the same as that of the single squared diagram $|A_i|^2$, so a single channel $g_i$ derived from the propagator structure of diagram $i$ is enough to map it. The authors call this Single-Diagram-Enhanced multi-channel integration, and they list its consequences: a weight in one channel never requires computing the others, so the computational complexity does not grow with the number of channels; the channels are parallel in nature; and the analogue of the usual blending weights can be set to $α_i = I_i / I$, so that Monte Carlo effort tracks each channel's share of the answer. They also note the decomposition is modular: identical final-state particles allow a reduction by $k!$, diagrams with no peaked behaviour can be dropped, and diagrams can be grouped when coherence arguments predict the combined mapping. MadEvent, built on a new version of MadGraph, automates the whole chain from a user-specified process to amplitudes, phase-space mappings, cross sections, and unweighted events in the Les Houches format.
Load-bearing premise
The efficiency claim depends on the assertion that each piece $f_i$ has the same peak structure as the single squared diagram $|A_i|^2$, even though $f_i$ also carries the multiplicative factor $|A_{tot}|^2 / Σ_j |A_j|^2$, which is not constant and can vary sharply wherever diagrams interfere.
Editorial extensions
If this is right
- Cross sections and unweighted event samples for high-multiplicity processes such as $W$ plus up to four jets, $t\bar{t}$ plus jets, and $b\bar{b}b\bar{b}$ plus jets become obtainable from a single automated tool, with the paper's benchmark tables at $\sqrt{s}=2$ TeV and $14$ TeV serving as reference values.
- Because each channel is an independent integration, the work can be spread across a farm of machines and combined only at the end, and channels with small $α_i = I_i/I$ can be sampled with fewer points for a fixed target accuracy.
- Phase-space mappings for processes with several competing on-shell regions, such as $W^+W^-$ where a $Z$ and a $W$, or both $W$'s, can be near their masses, are generated automatically rather than by hand, so no approximation needs to be introduced there.
- The generated events carry spin, colour connection, and flavour information per final-state parton in the Les Houches format, so they can be passed to a shower and hadronization program without further processing.
- The approach inherits a practical ceiling from the diagram count rather than from the integration: the package as shipped handles up to ten thousand diagrams per subprocess, which makes $W$ plus five jets feasible but close to the limit.
Reading between the lines
- The decomposition is exact for any set of diagrams, so the method's real content is a statement about variance, not about correctness; a natural test would be to compare per-channel variance against a conventional multi-channel fit on a process with strong interference, where the ratio $|A_{tot}|^2 / Σ_j |A_j|^2$ swings widely.
- If the per-diagram mapping is efficient, the same decomposition should be usable as a Born-level sampling engine for matching to parton showers, since each event would arrive already tagged with the diagram that generated it.
- The scheme suggests a diagnostic for interference: the ratio $|A_{tot}|^2 / Σ_j |A_j|^2$ is a bounded, computable quantity per phase-space point, and its distribution over the sample would quantify how much of the integrand is genuinely multi-diagram rather than single-diagram.
- Because channels can be dropped or merged without breaking the identity, the method invites a cost-aware pruning rule: keep only diagrams whose $I_i$ exceeds some fraction of $I$, and the residual bias is bounded by the discarded integrals.
Original abstract
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.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a new multi-channel integration method and its implementation in the multi-purpose event generator MadEvent, which is based on MadGraph. | contribution 1.00 | 0.90 | 0.29 | asserted 1.00 |
| s1 | 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. | method 0.98 | 0.41 | 0.07 | asserted 1.00 |
| s2 | 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. | result 0.61 | 0.68 | 0.29 | asserted 1.00 |
| s3 | Several examples are given for processes that are relevant for physics studies at present and forthcoming colliders. | contribution 0.58 | 0.80 | 0.06 | asserted 0.99 |
What was examined, and what was not
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References
How later papers used it
269 later papers cite it
29 later papers by other authors are listed below: 29 used its method or tool.
Uses its method or tool 29 of 185 papers with this label
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Generated its signal and background tree-level matrix elements with the MadEvent package, modified to include anomalous triple gauge couplings.
Scrutinizing the ZW+W- vertex at the Large Hadron Collider at 7 TeV (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its signals and backgrounds using the MadGraph/MadEvent v4.3 package.
Associated Production of Non-Standard Higgs Bosons at the LHC (2011) · 1.00 · paraphrased: the licence does not allow quoting
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Generated all its signal and background events for ttbar at tree level using this paper and showered them using another work.
Unburied Higgs (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Simulated its signal and background for the LHC at 14 TeV with this paper.
Single production of an exotic bottom partner at LHC (2013) · 1.00 · paraphrased: the licence does not allow quoting
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Simulated its Z' signal with MadGraph5 and MadEvent using the same simulation parameters as another work.
Leptonic Monotops at LHC (2013) · 1.00 · paraphrased: the licence does not allow quoting
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Simulated its processes with the MadGraph 4.4 Monte Carlo event generator for the indicated dark matter particle masses.
Anti-deuterons from heavy Dark Matter (2009) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its parton-level signal and background processes apart from ttbar production with Madgraph4.4.32.
Light Stop Searches at the LHC in Events with two b-Jets and Missing Energy (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Used Madgraph to estimate the Standard Model background.
Dilepton + jet signature of Split-UED at the LHC (2013) · 1.00 · paraphrased: the licence does not allow quoting
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First used madgraph to produce matrix-element-generated gg to H to VVZl+l- signal events.
Supersymmetry without a light Higgs boson at the LHC (2007) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its events with MadGraph, then carried out initial and final state radiation and fragmentation with Pythia.
$\mathscr{O}(100 GeV)$ Deci-weak $W^\prime/Z^\prime$ at Tevatron and LHC (2011) · 1.00 · paraphrased: the licence does not allow quoting
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Simulated its bbarb W±+jets background using this paper to generate a sample of bbarb W±+2 jet events.
Single Slepton Production in association with a single Top Quark at the Tevatron and LHC (2008) · 1.00 · paraphrased: the licence does not allow quoting
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Generated Monte Carlo event samples with the Pythia and Madgraph programs for its studies.
Inclusive search for squarks and gluinos in pp collisions at sqrt(s) = 7 TeV (2011) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its signal events with MadGraph/MadEvent and used ALPGEN to generate the background events.
Higgs Boson Search Sensitivity in the $H \to WW$ Dilepton Decay Mode at $\sqrt s = 7$ and 10 TeV (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Performed its parton-level analyses using the stand-alone package of MADGRAPH supplemented by new states and interactions.
Signals for New Spin-1 Resonances in Electroweak Gauge Boson Pair Production at the LHC (2009) · 1.00 · paraphrased: the licence does not allow quoting
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Made its simulated top-quark pair production samples using the MADGRAPH event generator, then processed them with PYTHIA and a full CMS detector simulation.
Top Quark Studies with the first CMS Data (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its simulated samples with a boson using the 4.4.13 event generator, interfaced to the 6.422 program for parton shower simulation.
Jet Production Rates in Association with W and Z Bosons in pp Collisions at sqrt(s) = 7 TeV (2011) · 1.00 · paraphrased: the licence does not allow quoting
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Performed all its calculations at tree level using MadEvent, modified to allow for non-standard values of lambda.
Measuring the Higgs Boson Self-coupling at High Energy e^+e^- Colliders (2009) · 0.98 · paraphrased: the licence does not allow quoting
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Used madevent for the WZ background.
Search for new physics in the mu+mu+e/mu+met channel with a low-pT lepton threshold at the Collider Detector at Fermilab (2008) · 1.00 · paraphrased: the licence does not allow quoting
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QCD and irreducible background samples are produced with PHANTOM, $tt̅$, W+jet and $tt̅$W backgrounds are generated with Madgraph [ref] and the other backgrounds are simulated with PYTHIA at a collision energy of $√(s)=$10 TeV.
Same Sign WW Scattering Process as a Probe of Higgs Boson in pp Collision at $\sqrt{s}$ = 10 TeV (2010) · Monte Carlo Samples · 1.00
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Generated its events using the MADGRAPH event generator and PYTHIA for parton shower and hadronization.
Electroweakinos in the Light of the Higgs Boson (2013) · 1.00 · paraphrased: the licence does not allow quoting
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Calculated all its other background processes using MadEvent.
High p_T Top Quarks at the Large Hadron Collider (2007) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its W±W∓jj, W±W±jj and ZZjj backgrounds using MADGRAPH and passed them to PYTHIA for ISR/FSR effects.
Dileptonic signatures of T-odd quarks at the LHC (2009) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its t-channel Monte Carlo events with the 4.4 event generator.
Measurement of the t-channel single top quark production cross section in pp collisions at sqrt(s) = 7 TeV (2011) · 1.00 · paraphrased: the licence does not allow quoting
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Calculated its Standard Model background using the event generation package of Madgraph and Madevent, with slight modifications to extract polarized cross sections.
Single Production of Doubly Charged Higgsinos at linear e-e- colliders (2007) · 1.00 · paraphrased: the licence does not allow quoting
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Generated its parton-level events with MadGraph/MadEvent for squark pair production and decay and for q' pair production and decay.
Initial determination of the spins of the gluino and squarks at LHC (2008) · 1.00 · paraphrased: the licence does not allow quoting
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Used Madgraph to simulate both its signal and background processes.
Discovering hidden sectors with mono-photon Z' searches (2008) · 1.00 · paraphrased: the licence does not allow quoting
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Used the matching utility in MadEvent to combine 3(+jet(s)) processes for its backgrounds.
The LHC Phenomenology of Vectorlike Confinement (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Made simulations with the computer program MadGraph/MadEvent to generate many sets of event samples.
A composite Higgs model analysis of forward-backward asymmetries in the production of tops at Tevatron and bottoms at LEP and SLC (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Simulated its top quark samples with Madgraph.
Performance of tau-lepton reconstruction and identification in CMS (2011) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
244 arXiv papers cite this in 308 sentences
Papers citing it · 61 sentences without a confident label
Contests it 1 paper
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In particular, the region where the contributions of gluon-splitting processes are expected to be large is not adequately described by any of the predictions from MC@NLO [ref] , Cascade [ref] , [ref] , or MadGraph [ref] .
Study of $b\bar{b}$ correlations in high energy proton-proton collisions · Introduction · contest 0.85
Uses its method or tool 169 papers
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The signal and backgrounds were simulated at the parton level with full tree level matrix elements generated with the package MadEvent [ref] conveniently modified to include the anomalous TGV's.
Scrutinizing the ZW+W- vertex at the Large Hadron Collider at 7 TeV · Introduction · 1.00
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All calculations presented here have been performed at tree-level using MadEvent [ref] which has been modified to allow for non-standard values of $λ$.
Measuring the Higgs Boson Self-coupling at High Energy e^+e^- Colliders · Calculational details · 0.98
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In Table [ref], the cross section for the signal and irreducible background for the process in Eq. ([ref]) are shown for three values of the Higgs boson mass, as independently obtained by the Monte Carlo event generators ALPGEN [ref] , and MadEvent [ref] , with the choice of parameters described in [ref] .
Rescuing H -> bb in VBF at the LHC by requiring a central photon · Production rates: signal versus background · 0.82
Uses its data or values 3 papers
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A sample of events from production in the t-channel in association with a $b$-jet and a light jet $j$ () are generated with MadGraph [ref] interfaced with Pythia8; the normalization of the production cross section is taken from Refs. [ref] .
Measurement of Higgs boson production in the diphoton decay channel in $pp$ collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector · Data and Monte Carlo samples · 0.85
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The small contribution from production of single top quarks is estimated using madevent [ref] and pythia normalized to the NLO cross section [ref] .
Search for Standard Model Higgs Bosons Produced in Association with W Bosons · Introduction · 0.87
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Contributions from diboson production ($VV$, where $V = W$ or $Z/^⋆$), based on a leading-order production cross section of $σ_VV=4.8$ pb [ref] , and electroweak single-top production in the $tW$ channel ($σ_tW=10.6$ pb [ref] ) are modeled with the event generator and are processed in an equivalent fashion as the simulated $$ sample used to assess the signal yield.
First Measurement of the Cross Section for Top-Quark Pair Production in Proton-Proton Collisions at sqrt(s)=7 TeV · Introduction · 0.80
Compares with it 10 papers
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We compared the tree-level (Born and real-emission) matrix elements to those obtained from [ref] , while the matix element for the virtual correction, including the first three terms in the Laurent expansion in the dimensional regularisation parameter $$ was compared to that from [ref] in randomly chosen phase space points.
Top quark pair production in association with a Z-boson at NLO accuracy · Introduction · 1.00
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We first validate the algorithm by using the simple LO cross section from eq:losigma and comparing the output of with that of [ref] .
GenEvA (II): A phase space generator from a reweighted parton shower · Results · 0.99
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The cross sections fall rapidly with $R^-1$ and vary over several orders of magnitude, $q^1Z^1$ having the smallest cross section and $Q^1W^1$ the largest (in $pb$ order for $R^-1 ∼500$ GeV)[Our cross sections are in almost complete agreement with the ones obtained using MADGRAPH [ref] and FEYNRULES [ref] (more precisely, FR-MUED).].
Exploring the Universal Extra Dimension at the LHC · Productions and decay of the first KK-mode · 0.89
Cites it as background 30 papers
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In the literature [ref] a common approach when using surrogates is to use it within importance sampling, while relying on standard hit and miss to generate event following the surrogate density function, which is conceptually equivalent to other importance sampling algorithm (based on ML or not) [ref] .
Amplitude Surrogates for Multi-Jet Processes · Achievable speed-up without double-unweighting · 0.91
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These ideas underpin many automatic phase-space generators and matrix-element tools, including dedicated algorithms and libraries developed to handle complex multi-particle final states [ref] .
Multi-channel phase space with Feynman-diagram-gauge amplitudes · Introduction · 0.88
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For leading order processes there have been many developments concerning event generation and simulation tools in the last two decades such as MadGraph/MadEvent [ref] CompHEP/CalcHEP [ref] / [ref] , SHERPA [ref] and WHIZARD [ref] and also programs using different approaches such as ALPGEN [ref] and HELAC [ref] .
Automation of the Dipole Subtraction Method in MadGraph/MadEvent · Introduction · 0.96
Discussion
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