A derivation of the planar limit of ${\cal N}=2$ chiral correlators

TL;DR

This paper analytically derives the highest transcendental terms of planar 2- and 3-point functions of chiral primary operators in ${ m N}=2$ SQCD, confirming previous conjectures and providing explicit formulas for certain zeta function products.

Contribution

It provides an all-orders derivation of maximal transcendentality terms in ${ m N}=2$ SQCD correlators, confirming earlier conjectures and explicitly expressing zeta function product terms.

Findings

Confirmed two previous conjectures about correlator structures.

Derived explicit formulas for zeta function product terms in correlators.

Provided all-orders expressions for maximal transcendentality contributions.

Abstract

We derive analytically the terms of maximal transcendality of the planar 2- and 3-point functions of single-trace chiral primary operators of ${\cal N}=2$ SQCD on $\bR^4$, to all orders in the 't Hooft coupling. These results prove two conjectures we formulated in previous work. Furthermore, we also provide an explicit expression for the terms in the planar 2-point functions of these operators that contain products of two values of the $\zeta$ function.