Abstract / Description of output
Webs are weighted sets of Feynman diagrams which build up the logarithms of correlators of Wilson lines, and provide the ingredients for the computation of the soft anomalous dimension. We present a general analysis of multiple gluon exchange webs (MGEWs) in correlators of semiinfinite nonlightlike Wilson lines, as functions of the exponentials of the Minkowski cusp angles, $\alpha_{ij}$, formed between lines $i$ and $j$. We compute a range of webs in this class, connecting up to five Wilson lines through four loops, we give an allloop result for a special class of diagrams, and we discover a new kind of relation between webs connecting different numbers of Wilson lines, based on taking collinear limits. Our results support recent conjectures, stating that the contribution of any MGEW to the soft anomalous dimension is a sum of products of polylogarithms, each depending on a single cusp angle, and such that their symbol alphabet is restricted to $\alpha_{i j}$ and $1  \alpha_{i j}^2$. Finally, we construct a simple basis of functions, defined through a onedimensional integral representation in terms of powers of logarithms, which has all the expected analytic properties. This basis allows us to compactly express the results of all MGEWs computed so far, and we conjecture that it is sufficient for expressing all MGEWs at any loop order.
Original language  English 

Article number  10 
Journal  Journal of High Energy Physics 
Volume  2014 
Issue number  10 
DOIs  
Publication status  Published  13 Jul 2014 
Keywords / Materials (for Nontextual outputs)
 hepph
 hepth
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Einan Gardi
 School of Physics and Astronomy  Personal Chair of Theoretical Physics
Person: Academic: Research Active