Off-Shell Tachyons

TL;DR

This paper explores the theoretical implications of off-shell tachyons in loop diagrams, proposing a solution to zero results in certain particle physics calculations and computing related Passarino-Veltman functions.

Contribution

It introduces off-shell tachyons into loop diagrams and calculates their Passarino-Veltman functions, offering a novel approach to loop calculations involving beyond-standard-model particles.

Findings

Off-shell tachyons can resolve zero results in loop diagrams.

Calculated Passarino-Veltman functions for off-shell tachyons.

Provides a new framework for loop calculations with hypothetical particles.

Abstract

The idea that the new particles invented in some models beyond the standard model can appear only inside the loops is attractive. In this paper, we fill these loops with off-shell tachyons, leading to a solution of the zero results of the loop diagrams involving the off-shell non-tachyonic particles. We also calculate the Passarino-Veltman $A_0^o$ and $B_0^o$ of the off-shell tachyons.