Feasibility Investigation into Detecting D s+ → τ + + ν τ in pNe Collisions at LHCb

In the pursuit of unraveling deeper insights into particle physics, this study delves into the feasibility of detecting the decay Ds+ → τ+ντ in pNe collisions at LHCb. The primary focus lies on the Ds+ → τ+ντ decay within the SMOG configuration, a pivotal stepping stone for the groundbreaking ’Bent Crystal’ experiment. This decay holds profound implications for the Standard Model (SM) and the potential unveiling of New Physics (NP) phenomena. The study underscores the significance of suppressing the dominant charm background by employing Multivariate Analysis (MVA). Targeting a signal-to-background ratio conducive to precise branch fraction determina- tion, a Boosted Decision Tree (BDT) cut is set at BDT > 5.65 × 10−2. This BDT cut aims to enhance the discriminatory power of variables and facilitate Multivariable Fitting, enabling the extraction of the desired decay’s branch fraction with reduced uncertainties. For the purpose of observing the decay with a 5σ level of significance within the SMOG setup, an estimated integrated luminosity of 6.74pb−1 is identified. This estimation surpasses the accumulated integrated luminosity of 200 nb−1 from the 2017 SMOG data, emphasizing the need for additional data to discern the desired decay from the background. The research also underscores the potential of the ’Bent Crystal’ experiment in mea- suring the Electric Dipole Moment (EDM) and Magnetic Dipole Moment (MDM) of the τ lepton. These measurements could serve as pivotal tools in probing the existence of New Physics. Future directions encompass generating ample Monte Carlo (MC) sam- ples for multivariable fitting and exploring practical applications of bent crystals. This study serves as a foundational stride in bridging the gap between theoretical predictions and experimental measurements, offering a unique perspective to scrutinize the intricate landscape of particle physics.