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

<p>The integrand contains data for 151653 diagrams, which are split between two types of files.<br> First is the complete list of graphs in Graphs_SYM_6L.&nbsp; The diagram count can quickly be verified by running the terminal command</p> <p>$ wc -l Graphs_SYM_6L</p> <p>The notation for each graph is as follows:</p> <p>g[k, v, i] -&gt; {vertex_1, vertex_2, vertex_3, vertex_4,&hellip;}</p> <p>where each vertex is composed of a list of integers that correspond to outgoing edge (or leg) labels</p> <p>vertex_j = {edge_1, edge_2, edge_3,&hellip;}</p> <p>where edge labels that are negative correspond to incoming legs.&nbsp; &nbsp;</p> <p>The momenta of the graph edges satisfy</p> <p>p_{edge} = -p_{-edge},</p> <p>\sum_{edge \in vertex} p_{edge} = 0, &nbsp;</p> <p>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.)</p> <p>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.</p> <p>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.</p> <p>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.&nbsp; Verifying the total number of numerators can be accomplished via</p> <p>$ wc -l Numers_SYM_*</p> <p>where the total result should be 151653.</p> <p>All numerators contain Lorentz products between momentum, given by</p> <p>dij = p_i . p_j</p> <p>For k&gt;= 1, the numerators also contain color factors c[vertex_i] for each higher-than-cubic vertex.&nbsp; Each vertex&#39;s color factors have been reduced to an arbitrary (n-2)! half-ladder (Del Duca-Dixon-Maltoni [hep-ph/9910563]) basis for that vertex.</p> <p>This description is reproduced in the &quot;ancillary_readme&quot; file.</p> <p>Since Zenodo does not currently provide a &quot;Download All&quot; button, we suggest you use a Zenodo-targeted downloading tool like <a href="https://doi.org/10.5281/zenodo.1261812">Zenodo_get</a>.&nbsp; We will provide a ZIPed version in a future upload.</p>