Published December 13, 2021 | Version 1.0.0
Dataset Open

# Four-point six-loop super-Yang-Mills integrand

## Creators

• 1. Northwestern University
• 2. Uppsala University
• 3. Uppsala University and Nordita

## Description

The integrand contains data for 151653 diagrams, which are split between two types of files.
First is the complete list of graphs in Graphs_SYM_6L.  The diagram count can quickly be verified by running the terminal command

$wc -l Graphs_SYM_6L The notation for each graph is as follows: g[k, v, i] -> {vertex_1, vertex_2, vertex_3, vertex_4,…} where each vertex is composed of a list of integers that correspond to outgoing edge (or leg) labels vertex_j = {edge_1, edge_2, edge_3,…} where edge labels that are negative correspond to incoming legs. The momenta of the graph edges satisfy p_{edge} = -p_{-edge}, \sum_{edge \in vertex} p_{edge} = 0, and for convenience we only make use of the independent momenta p_1 through p_9, where p_1, p_2, p_3 are the independent external momenta, and p_4, p_5, p_6, p_7, p_8, p_9 are the independent loop momenta. (The fourth external leg is here denoted by edge = 0, and we do not use its momentum.) The graphs are labeled by the shorthand name g[k, v, i] where k is the (Next-to)^k-maximal-cut level that they contribute to, and v is an index that groups the graphs according to which vacuum topology they belong to, and i is an index that distinguishes graphs of the same {k,v} class. For cubic vertices, {edge_1, edge_2, edge_3}, the ordering of the vertex is in one-to-one correspondence with the ordering of the color factor f^{a_{edge_1} a_{edge_2} a_{edge_3}}. Whereas for quartic and higher degree vertices, the information of the color factor is included in the numerator. As a consequence, the cubic vertices are ordered, whereas the higher degree vertices are unordered. The numerators corresponding to the diagrams are labeled as n[k, v, i] and they are collected into separate files Numers_SYM_6L_k_v according to their {k,v} class. Verifying the total number of numerators can be accomplished via$ wc -l Numers_SYM_*

where the total result should be 151653.

All numerators contain Lorentz products between momentum, given by

dij = p_i . p_j

For k>= 1, the numerators also contain color factors c[vertex_i] for each higher-than-cubic vertex.  Each vertex's color factors have been reduced to an arbitrary (n-2)! half-ladder (Del Duca-Dixon-Maltoni [hep-ph/9910563]) basis for that vertex.

This description is reproduced in the "ancillary_readme" file.

Since Zenodo does not currently provide a "Download All" button, we suggest you use a Zenodo-targeted downloading tool like Zenodo_get.  We will provide a ZIPed version in a future upload.

## Files

### Files (611.8 MB)

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6.8 MB
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2.4 kB
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740 Bytes
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2.5 kB
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4.0 MB
2.0 MB
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1.4 MB
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91.1 kB
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154.8 kB
1.7 MB
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3.7 MB
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3.3 MB
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3.2 MB
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2.6 MB
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1.9 MB
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4.5 MB
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2.2 MB
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1.9 MB
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2.3 MB
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1.8 MB
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40.8 kB
193.9 kB
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22.6 kB
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1.2 MB
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1.0 MB
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46.1 kB
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1.5 MB
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1.7 MB
2.0 MB
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132.4 kB
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16.5 kB
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11.2 kB
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187.6 kB
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12.7 kB
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3.5 kB
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23.4 kB
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16.4 kB
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75.2 kB
277.3 kB
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388.1 kB
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56.8 kB
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51.0 kB
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7.7 kB
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15.3 kB
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16.2 kB
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4.9 kB
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234.7 kB
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1.1 MB
758.9 kB
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8.5 kB
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142.7 kB
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70.1 kB
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64.5 kB
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41.9 kB
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51.8 kB
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47.9 kB
82.0 kB
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32.0 kB
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155.3 kB
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47.1 kB
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177.7 kB
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148.3 kB
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9.1 MB
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34.4 kB
68.3 kB
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29.5 kB
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13.4 kB
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41.8 kB
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55.8 kB
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39.1 kB
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8.9 kB
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73.2 kB
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69.0 kB
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5.3 kB
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30.4 kB
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32.1 kB
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104.2 kB
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68.3 kB
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89.2 kB
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10.2 kB
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4.6 kB
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11.6 kB
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16.2 kB
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32.0 kB
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49.6 kB
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11.9 kB
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1.1 kB
7.0 kB
md5:3ca9361cbca7d86cfbe022f322321d89
254 Bytes
md5:4a0e10a467545ca639458e270f69f540
25.6 kB
8.5 kB
md5:624cd757e2058ccd45354483db5bb727
931.1 kB
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470.2 kB
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6.3 MB
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27.9 MB
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4.2 MB
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44.7 kB
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21.7 MB
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13.0 MB
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13.0 MB
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3.0 MB
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1.9 MB
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34.8 kB
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4.8 MB
437.4 kB
md5:bf0c1b26e329f1c6e311ef7e8fd211f5
20.7 kB
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2.2 MB
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1.8 MB
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4.2 MB
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24.9 kB
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3.2 kB
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3.2 MB
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1.7 kB
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1.8 MB
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1.6 kB
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7.3 MB
12.5 kB
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175.6 kB
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3.3 MB
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61.2 kB
md5:80c3abb76743eebb316146f4e1aa98c3
478 Bytes
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1.1 kB
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2.3 MB
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1.1 kB
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1.1 kB
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2.2 MB
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1.3 kB
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343.7 kB
1.7 MB
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1.7 MB
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1.2 MB
2.4 MB
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2.1 MB
2.1 MB
md5:fa47ef1ac65545e8ff31e5faba085a54
2.1 MB
1.3 MB
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2.6 MB
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1.5 MB
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1.4 MB
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1.6 MB
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1.3 MB
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11.8 kB
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1.1 MB
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968.1 kB
606.0 kB
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1.3 MB
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1.1 MB
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1.5 MB
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10.6 kB
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178.0 kB
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344.0 kB
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157.6 kB
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587.7 kB
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468.2 kB
md5:67d107180aecaba7cb78ce832d125b18
419.5 kB
614 Bytes
md5:7f17a0b5b33a3dc6f6d37c9a42af86ec
44.1 kB
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40.4 kB
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332.6 kB
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5.0 MB
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1.2 MB
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3.2 MB
md5:d984d6655a1114b01862e31dbb8b9263
2.5 MB
2.5 MB
md5:65f3fc6fbeed794137bb338248e59892
830.8 kB
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607.9 kB
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1.2 MB
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45.4 kB
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566.3 kB
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576.3 kB
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908.4 kB
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625.3 kB
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148.9 kB
md5:c64e7b7538ce5387c38f8373fd23e491
898.7 kB
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8.5 kB
md5:f3ace5b577fff678ca9664419e921922
568.1 kB
md5:fd322aaeab0e3ca003f78546454e762e
129.8 kB
md5:4d447e00b092b338913eaf534bfc3f0c
125.6 kB