Introducing scalar leptoquarks into a 3-3-1 model to solve the $(g-2)_\mu $ puzzle

Abstract

In this work we introduce scalar leptoquarks into the 3-3-1 model with right-handed neutrinos with the aim of solving the $(g-2)_{\mu}$ puzzle. We show that besides the model supports leptoquarks in the octet, sextet, triplet and singlet representations, we identified that only one specif leptoquark in the singlet representation leads to flip of chirality as required to generate positive and robust contribution to the $(g-2)_\mu$. Then we calculate its contributions to $(g-2)_\mu$ and to the decay process $\mu \rightarrow e \gamma$ and discuss the results.