English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Infrared divergences in scattering amplitudes arise when a loop momentum$\ell$ becomes collinear with a massless external momentum $p$. In gaugetheories, it is known that the L-loop logarithm of a planar amplitude has muchsofter infrared singularities than the L-loop amplitude itself. We argue thatplanar amplitudes in N=4 super-Yang-Mills theory enjoy softer than expectedbehavior as $\ell \parallel p$ already at the level of the integrand. Moreover,we conjecture that the four-point integrand can be uniquely determined, to anyloop-order, by imposing the correct soft-behavior of the logarithm togetherwith dual conformal invariance and dihedral symmetry. We use these simplecriteria to determine explicit formulae for the four-point integrand throughseven-loops, finding perfect agreement with previously known results throughfive-loops. As an input to this calculation we enumerate all four-point dualconformally invariant (DCI) integrands through seven-loops, an analysis whichis aided by several graph-theoretic theorems we prove about general DCIintegrands at arbitrary loop-order. The six- and seven-loop amplitudes receivenon-zero contributions from 229 and 1873 individual DCI diagrams respectively.

The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops