An extension of the Linear Delta Expansion to Superspace

TL;DR

This paper extends the Linear Delta Expansion method to superspace, enabling more effective calculations of supersymmetric effective potentials using improved super-Feynman rules, with results up to two loops.

Contribution

It introduces an extended Linear Delta Expansion approach tailored for superspace, including an optimized Kähler potential calculation at two-loop order.

Findings

Derived an expression for the optimized Kähler potential.

Demonstrated the method's applicability up to two-loop calculations.

Enhanced the computational framework for supersymmetric effective potentials.

Abstract

We introduce and discuss the method of Linear Delta Expansion for the calculation of effective potentials in superspace, by adopting the improved version of the super-Feynman rules. Calculations are carried out up to two-loops and an expression for the optimized K\"{a}hler potential is worked out.