TY - JOUR

T1 - Resummed tree heptagon

AU - Belitsky, A. V.

N1 - Funding Information:
We would like to thank Benjamin Basso and Georgios Papathanasiou for interest in the project at its initial stage. This research was supported by the U.S. National Science Foundation under the grant PHY-1713125 .
Funding Information:
We would like to thank Benjamin Basso and Georgios Papathanasiou for interest in the project at its initial stage. This research was supported by the U.S. National Science Foundation under the grant PHY-1713125.

PY - 2018/4

Y1 - 2018/4

N2 - The form factor program for the regularized space–time S-matrix in planar maximally supersymmetric gauge theory, known as the pentagon operator product expansion, is formulated in terms of flux-tube excitations propagating on a dual two-dimensional world-sheet, whose dynamics is known exactly as a function of ‘t Hooft coupling. Both MHV and non-MHV amplitudes are described in a uniform, systematic fashion within this framework, with the difference between the two encoded in coupling-dependent helicity form factors expressed via Zhukowski variables. The nontrivial SU(4) tensor structure of flux-tube transitions is coupling independent and is known for any number of charged excitations from solutions of a system of Watson and Mirror equations. This description allows one to resum the infinite series of form factors and recover the space–time S-matrix exactly in kinematical variables at a given order of perturbation series. Recently, this was done for the hexagon. Presently, we successfully perform resummation for the seven-leg tree NMHV amplitude. To this end, we construct the flux-tube integrands of the fifteen independent Grassmann component of the heptagon with an infinite number of small fermion–antifermion pairs accounted for in NMHV two-channel conformal blocks.

AB - The form factor program for the regularized space–time S-matrix in planar maximally supersymmetric gauge theory, known as the pentagon operator product expansion, is formulated in terms of flux-tube excitations propagating on a dual two-dimensional world-sheet, whose dynamics is known exactly as a function of ‘t Hooft coupling. Both MHV and non-MHV amplitudes are described in a uniform, systematic fashion within this framework, with the difference between the two encoded in coupling-dependent helicity form factors expressed via Zhukowski variables. The nontrivial SU(4) tensor structure of flux-tube transitions is coupling independent and is known for any number of charged excitations from solutions of a system of Watson and Mirror equations. This description allows one to resum the infinite series of form factors and recover the space–time S-matrix exactly in kinematical variables at a given order of perturbation series. Recently, this was done for the hexagon. Presently, we successfully perform resummation for the seven-leg tree NMHV amplitude. To this end, we construct the flux-tube integrands of the fifteen independent Grassmann component of the heptagon with an infinite number of small fermion–antifermion pairs accounted for in NMHV two-channel conformal blocks.

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U2 - 10.1016/j.nuclphysb.2018.01.031

DO - 10.1016/j.nuclphysb.2018.01.031

M3 - Article

AN - SCOPUS:85044528447

VL - 929

SP - 113

EP - 136

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -