An explicit calculation of pseudo-goldstino mass at the leading three-loop level

Understand

Pseudo-goldstinos appear in the scenario of multi-sector SUSY breaking.

• Unlike the true goldstino which is massless and absorbed by the gravitino, pseudo-goldstinos could obtain mass from radiative effects.
• In this note, working in the scenario of two-sector SUSY breaking with gauge mediation, we explicitly calculate the pseudo-goldstino mass at the leading three-loop level and provide the analytical results.
• In our calculation we consider the general case of messenger masses (not necessarily equal) and include the higher order terms of SUSY breaking scales.