graphicle

graphicle

|PyPI version| |Tests| |Documentation| |License| |pre-commit| |Code style: black|

Utilities for representing high energy physics data as graphs / networks.

Installation

.. code:: bash

pip install graphicle

Features

Object oriented interface to track-level particle data for collider physics, with routines for constructing and performing calculations over graph-structured data.

Provides data structures for:

• 4-momenta
• PDG codes
• Particle status codes
• Color codes
• Helicity / spin polarisation data
• COO adjacency lists (for graph-structured data)

.. code:: python3

import graphicle as gcl

query pdg records

pdgs = gcl.PdgArray([1, 3, 6, -6, 25, 2212]) pdgs.name ['d', 's', 't', 't~', 'H0', 'p'], dtype=object) pdgs.charge array([-0.33333333, -0.33333333, 0.66666667, -0.66666667, 0. , 1. ])

extract information from momentum data

pmu_data array([( 1.95057378e-02, 3.12923088e-02, 3.53556064e-01, 3.55473730e-01), ( 2.60116947e+01, -3.63466398e+00, -3.33718718e+00, 2.64755711e+01), ( 5.91884324e-05, -7.62144267e-06, -6.76385314e-06, 6.00591927e-05), ( 2.82881807e+01, 4.32224823e+00, 2.14691072e+02, 2.16589841e+02), (-8.73280642e-02, -6.48540201e-02, 3.73744945e-01, 6.28679140e-01), ( 1.06204871e-01, 5.78888984e-01, -1.44899819e+02, 1.44901081e+02)], dtype=[('x', '<f8'), ('y', '<f8'), ('z', '<f8'), ('e', '<f8')]) pmu = gcl.MomentumArray(pmu_data) ... pmu MomentumArray([[ 1.95057378e-02 3.12923088e-02 3.53556064e-01 3.55473730e-01] [ 2.60116947e+01 -3.63466398e+00 -3.33718718e+00 2.64755711e+01] [ 5.91884324e-05 -7.62144267e-06 -6.76385314e-06 6.00591927e-05] [ 2.82881807e+01 4.32224823e+00 2.14691072e+02 2.16589841e+02] [-8.73280642e-02 -6.48540201e-02 3.73744945e-01 6.28679140e-01] [ 1.06204871e-01 5.78888984e-01 -1.44899819e+02 1.44901081e+02]], dtype=[('x', '<f8'), ('y', '<f8'), ('z', '<f8'), ('e', '<f8')]) pmu.pt array([3.68738715e-02, 2.62644064e+01, 5.96771055e-05, 2.86164812e+01, 1.08776076e-01, 5.88550704e-01]) pmu.mass array([-7.45058060e-09, 5.11000489e-04, 9.09494702e-13, 5.10991478e-04, 4.93680000e-01, 1.39570000e-01]) pmu.eta array([ 2.95639434, -0.12672178, -0.11309956, 2.71277683, 1.94796328, -6.1992861 ]) pmu.phi array([ 1.01339184, -0.138833 , -0.12806107, 0.15162078, -2.5028134 , 1.38935084])

calculate the inter-particle distances

pmu.delta_R(pmu) array([[0. , 3.2913868 , 3.27485993, 0.89554388, 2.94501476, 9.16339617], [3.2913868 , 0. , 0.01736661, 2.85431528, 3.14526968, 6.26189934], [3.27485993, 0.01736661, 0. , 2.83968296, 3.14442819, 6.27249595], [0.89554388, 2.85431528, 2.83968296, 0. , 2.76241933, 8.99760198], [2.94501476, 3.14526968, 3.14442819, 2.76241933, 0. , 8.4908571 ], [9.16339617, 6.26189934, 6.27249595, 8.99760198, 8.4908571 , 0. ]])

Graphicle really shines with its composite data structures. These can be used to filter and query heterogeneous particle data records simultaneously, either using user provided boolean masks, or MaskArray instances produced with routines in the select module. Additionally, routines in the calculate and transform modules take composite data structures to standardise useful calculations which blends multiple particle data records.

To see an example, let’s generate a collision event using Pythia, wrapped with showerpipe.

.. code:: python3

from showerpipe.generator import PythiaGenerator ... ... lhe_path = "https://zenodo.org/record/6034610/files/unweighted_events.lhe.gz" ... gen = PythiaGenerator("pythia-settings.cmnd", lhe_path, 1) for event in gen: ... graph = gcl.Graphicle.from_event(event) ... break

print(graph) name px py pz energy color anticolor helicity status final src dst p 0.00E+00 0.00E+00 6.50E+03 6.50E+03 0 0 9 -12 False 0 -1 p 0.00E+00 0.00E+00 -6.50E+03 6.50E+03 0 0 9 -12 False 0 -2 g 0.00E+00 0.00E+00 2.99E+02 2.99E+02 503 502 1 -21 False -6 -3 g -0.00E+00 -0.00E+00 -5.99E+02 5.99E+02 501 503 1 -21 False -7 -3 t 2.34E+02 -2.20E+01 -4.76E+02 5.58E+02 501 0 0 -22 False -3 -4 ... ... ... ... ... ... ... ... ... ... ... ... gamma 1.30E-02 -1.30E+00 -3.24E+00 3.49E+00 0 0 9 91 True -969 979 gamma 1.70E-01 -8.21E-01 -2.32E+00 2.47E+00 0 0 9 91 True -970 980 gamma 3.12E-01 -2.26E+00 -6.82E+00 7.19E+00 0 0 9 91 True -970 981 gamma 9.38E-03 -3.58E-01 -7.98E-01 8.75E-01 0 0 9 91 True -971 982 gamma 3.08E-02 -4.36E-02 -4.56E-02 7.02E-02 0 0 9 91 True -971 983

[1065 particles × 12 attributes]

graph.pdg PdgArray([2212 2212 21 ... 22 22 22], dtype=int32) graph.adj AdjacencyList([[ 0 -1] [ 0 -2] [ -6 -3] ... [-970 981] [-971 982] [-971 983]], dtype=[('src', '<i4'), ('dst', '<i4')])

select all descendants of the W bosons from the hard process

W_mask = gcl.select.hard_descendants(graph, {24}) W_mask MaskGroup(mask_arrays=["W+", "W-"], agg_op=OR)

filter data record to get final state W+ boson descendants

Wp_desc = graph[W_mask["W+"] & graph.final] print(Wp_desc) name px py pz energy color anticolor helicity status final src dst gamma 2.46E-05 -5.65E-06 -1.54E-05 2.95E-05 0 0 9 51 True -350 353 nu(tau) 1.72E+02 3.52E+01 -3.18E+02 3.63E+02 0 0 9 52 True -351 354 nu(tau)~ 1.73E+01 -4.48E+00 -1.08E+01 2.09E+01 0 0 9 91 True -352 687 pi+ 1.19E+01 -3.15E+00 -7.51E+00 1.44E+01 0 0 9 91 True -352 690 gamma 4.12E+00 -1.09E+00 -2.19E+00 4.79E+00 0 0 9 91 True -688 879 gamma 1.54E+00 -4.72E-01 -8.87E-01 1.84E+00 0 0 9 91 True -688 880 gamma 2.11E+00 -4.94E-01 -9.96E-01 2.38E+00 0 0 9 91 True -689 881 gamma 3.22E+00 -7.42E-01 -1.71E+00 3.72E+00 0 0 9 91 True -689 882

[8 particles × 12 attributes]

numpy can interface with graphicle - let's sum the momenta

Wp_sum = np.sum(Wp_desc.pmu, axis=0) Wp_sum.mass 80.419002446

More information on the API is available in the documentation <https://graphicle.readthedocs.io>__

Note on FastJet compatibility

graphicle offers a function wrapper around fastjet to cluster MomentumArray objects using their optimised generalised-kT algorithm. However, this library cannot build wheels for all systems, including Windows and the latest macOS systems using ARM architectures. Therefore, in order to use graphicle.select.fastjet_clusters(), you must install graphicle with fastjet as an optional dependency. This enables users who don't want the fastjet wrapper to ignore it, and still make the most of the many other features of graphicle. Use the following to get started:

.. code:: bash

pip install "graphicle[fastjet]"

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