Symmetry preserving contact interaction treatment of the kaon

A symmetry preserving regularization procedure for dealing with the contact interaction model is proposed in this work. This regularization procedure follows a series of consistency conditions that are necessary to maintain gauge symmetry. Under this regularization, proofs for the preservation of the Ward -Takahashi identities are given and the loop integrals in the contact interaction model are systematically computed. As an application example, the kaon electromagnetic form factor and Kl3 transition form factor are computed, and self-consistent results are obtained. Since the proposed regularization properly handles the divergence, one is freed from the inconsistencies caused by the regularization and can concentrate more on the physical discussion.

Automated summary

This work proposes a symmetry preserving regularization procedure for the contact interaction model. This regularization follows consistency conditions to maintain gauge symmetry. Proofs for preserving the Ward-Takahashi identities are provided, and loop integrals are systematically computed. Application examples of kaon electromagnetic form factor and Kl3 transition form factor demonstrate self-consistent results. The proposed regularization properly handles divergences, allowing more focus on physical discussions.