Lepton Flavor Violating Tau Decays in The Constrained MSSM-Seesaw Model

Year 2025, Volume: 18 Issue: 3, 842 - 857

Vael Hajahmad , Mahmoud Albari , Ali Ercan Ekinci

Abstract

Abstract
The flavor violation of leptons may occur in specific particle interactions, a phenomenon referred to as lepton flavor violation (LFV). Within the Standard Model of particle physics (SM), lepton flavors are predicted to be strictly conserved. Thus, any observed violations could provide significant insights into physics beyond the Standard Model (BSM). This research focuses on examining LFV in tau decays to one electron and two muons, specifically within the framework of supersymmetric models (SUSY), such as the Constrained Minimal Supersymmetric (CMSSM) models extended by the Seesaw Type-I mechanism. The CMSSM model integrates right-handed neutrino fields and the seesaw mechanism to offer explanations for phenomena including neutrino masses [1]. The primary objective is to conduct a phenomenological analysis of LFV in tau decays in these channels: τ^- ⟶ e^- e^+ e^-, τ^- ⟶ μ^- μ^+ μ^-, τ^- ⟶ e^- μ^+ μ^-, τ^- ⟶ μ^- e^+ e^-, τ^- ⟶ e^+ μ^- μ^-, τ^- ⟶ μ^+ e^- e^- .These channels are crucial for exploring the interplay between LFV, the seesaw mechanism, and supersymmetry. All are characterized by a zero hypercharge (Y=0), conforming to the gauge symmetry SU (3) _C × SU (2) _L × U (1) _Y as (1, 3, 0). This expansion utilizes the seesaw mechanism to facilitate the exploration of neutrino mass eigenstates, suggesting a New Physics scale on the order of ~10^14 GeV. We meticulously calibrated the parameters using the latest experimental constraints on the masses of sleptons, charginos, neutralinos, and sneutrinos. The grand unification scale (M_GUT) is fixed at 2×1016 GeV, and the supersymmetry breaking scale (M_susy) is set at 103 GeV.

Keywords

Lepton flavor violation , Supersymmetry , Seesaw Mechanism

Sınırlandırılmış MSSM-Seesaw Modelinde Tau Bozunmalarını İhlal Eden Lepton Lezzeti

Abstract

Lepton Lezzet Korunumunun İhlali (LFV) belirli parçacık etkileşimlerinde meydana gelebilecek bir olgudur. Standart Parçacık Fiziği Modeli'ne (SM) göre, lepton lezzetlerinin kesin olarak korunması öngörülmektedir. Bu nedenle, gözlemlenecek herhangi bir ihlal, Standart Model ötesi (BSM) fiziğe dair önemli ipuçları sağlayabilir. Bu çalışma, süpersimetrik modeller (SUSY), özellikle Tip-I Seesaw mekanizması ile genişletilmiş Kısıtlı Minimal Süpersimetrik Standart Model (CMSSM) çerçevesinde, bir elektron ve iki müon içeren tau bozunmalarında lepton lezzet ihlali (LFV) olasılığını incelemeye odaklanmaktadır. CMSSM modeli, sağ elli nötrino alanlarını ve seesaw mekanizmasını entegre ederek nötrino kütleleri gibi fenomenlere açıklık getirmeyi amaçlamaktadır [1]. Çalışmanın temel hedefi, aşağıdaki kanallarda gerçekleşen tau bozunmalarındaki LFV olaylarının fenomenolojik analizini yapmaktır: τ^- ⟶ e^- e^+ e^-, τ^- ⟶ μ^- μ^+ μ^-, τ^- ⟶ e^- μ^+ μ^-, τ^- ⟶ μ^- e^+ e^-, τ^- ⟶ e^+ μ^- μ^-, τ^- ⟶ μ^+ e^- e^-. Bu bozunma kanalları, LFV, seesaw mekanizması ve süpersimetri arasındaki etkileşimi araştırmak için kritik öneme sahiptir. Bu süreçlerin tümü, SU (3) _C × SU (2) _L × U (1) _Y gösterimiyle (1, 3, 0) olacak şekilde hiper yükü sıfır (Y=0) olan yapılarla tanımlanmıştır. Bu genişletilmiş model, nötrino kütle öz durumlarının araştırılmasını kolaylaştırmak için seesaw mekanizmasından yararlanmaktadır ve yaklaşık 10¹⁴ GeV düzeyinde bir Yeni Fizik ölçeği önermektedir. Slepton, chargino, nötralino ve sneutrino kütlelerine dair en güncel deneysel kısıtlamalar göz önüne alınarak model parametreleri titizlikle kalibre edilmiştir. Büyük birleşme ölçeği (M_GUT) 2×10¹⁶ GeV olarak, süpersimetri kırılma ölçeği (M_susy) ise 10³ GeV olarak sabitlenmiştir.

Keywords

Lepton lezzet ihlali , Seesaw Mekanizma , Süpersimetri

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