Space-time S-matrix and flux tube S-matrix II. Extracting and matching data
By B. Basso, A. Sever, P. Vieira. 2013
182 citations recorded by the source corpus.
A bstractWe elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar $ \mathcal{N} $ = 4 Super-Yang-Mills theory. It allows one to compute a precise IR finite ratio of scattering amplitudes that captures all the conformally invariant data of interest. Our construction is based on a decomposition of the dual Wilson loops into elementary building blocks named pentagon transitions. This discussion expands on a previous letter of the authors where these transitions were introduced and analyzed for the so-called gluonic excitations. In this paper we revisit these transitions and extend the analysis to the sector of scalar excitations. We restrict ourselves to the single particle transitions and bootstrap their finite coupling expressions using a set of axioms. Besides these considerations, the main focus of the paper is on the extraction of perturbative data from scattering amplitudes at weak coupling and its comparison against the proposed pentagon transitions. We present several tests for both the hexagon and heptagon (MHV and NMHV) amplitudes up to two- and three-loop orders. In attached notebooks we provide explicit higher-loop predictions obtained from our method.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ebb4d9464d6b2d08dd4e4db0aaf23e68f76aa901
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In Nuclear and High Energy Physics
Citations in the corpus
- Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions (2014, background): “They describe the transition between two consecutive null squares and were dubbed pentagon transitions in [3, 4].”
- When does the gluon reggeize? (2013, background): “thout invoking further assumptions. On the other hand, NNLL calculations are certainly within the reach of present-day scattering amplitude technology in planar N= 4 super Yang-Mills, see for example [86,111,112]. Motivated by this state of aairs, we have formulated in section6a number of prediction”