PROBABILITY

This research is concerned with neutrino physics in general, and specifically with neutrino mixing and oscillations. Neutrinos are massless in the standard model of particle physics, so they do not mix or oscillate. However, many experimental results now appear to support neutrino oscillations, necessitating the extension of the standard model to include neutrino masses and mixing among different neutrino flavors. In calculating the probability of electron neutrino oscillating into muon neutrino, the model equation below was used: � �� → �� = 𝑠� 2 2�13 𝑠� 2 �23 𝑠� 2 1.27∆�2 2 3 �� 2 � �� � ��� The probability was calculated using the model equation by taking arbitrary values for L/E ranging from 100-10000, using the Microsoft excel spreadsheet. The value of the probability varies between 0.093-0.24 and a graph of probability, P against ranging values of L/E was also plotted using the Microsoft excel spreadsheet. The probability of a neutrino changing type is related to the distance travelled by the neutrino from its point of production to its point of detection. As a general rule, neutrinos travelling greater distances will exhibit greater depletion from oscillation. Moreover, the oscillation varies smoothly over increasing distance.