We investigate in detail one−loop contribution of new particles to the muon anomalous magnetic moment (g − 2)µ in the framework of the economical 3-3-1 model. The main contributions to the anomalous magnetic moment come from new neutral gauge boson Z0 , bilepton singly charged vector boson Y ±. The contributions of new neutral/charged scalars are small and can be neglected. The result is extended to other versions of 3-3-1 models. Comparing the anomalous magnetic moment value in this model with experimental value we set the extension requirement for the model. | Communications in Physics, Vol. 25, No. 1 (2015), pp. 29-43 DOI: ANOMALOUS MAGNETIC MOMENT OF MUON IN ECONOMICAL 3-3-1 MODEL DINH THANH BINH, DO THI HUONG, LE THO HUE, HOANG NGOC LONG Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam Received 22 October 2014 Accepted for publication 28 March 2015 Abstract. We investigate in detail one − loop contribution of new particles to the muon anomalous magnetic moment (g − 2)µ in the framework of the economical 3-3-1 model. The main contributions to the anomalous magnetic moment come from new neutral gauge boson Z 0 , bilepton singly charged vector boson Y ± . The contributions of new neutral/charged scalars are small and can be neglected. The result is extended to other versions of 3-3-1 models. Comparing the anomalous magnetic moment value in this model with experimental value we set the extension requirement for the model. Keywords: muon, anomalous magnetic moment, precision tests. I. INTRODUCTION At present, the anomalous magnetic moment of the muon (AMMM) gains special interest SM −11 or σ level due to a hint of new physics. With the discrepancy aexp µ − aµ = (288 ± 80) × 10 [1], the muon anomalous magnetic moment is currently one of the most compelling inconsistencies between data and the Standard Model (SM) predictions in all of particle physics. Facing with this deviation, one could consider the difference coming from sources such as theoretical uncertainty or contribution of new physics. Efforts in both the experimental and theoretical fronts are taking to improve the precision of both the measured value and the SM prediction. Since the SU(3)C is conserved and the SU(2)L is usually extended in models beyond the Standard Model, one can divide the contribution to ∆aµ into two parts: hadronic and non hadronic parts. The non-hadronic part includes the electromagnetic (QED) corrections and electroweak (EW) corrections. The QED part .
