Strategies to Distinguish Signatures of Beyond the Standard Model Scenarios in Present and Future Colliders

Different theories have been proposed to address the questions, discrepencies and anomalies which the Standard Model (SM) fails to explain. These theories are referred to with a generic name, theories Beyond the Standard Model (BSM). They extend the particle fields or the gauge group of SM in pursuit of serving their purposes. They, therefore introduce new particles or interactions or both. Different BSM theories may suggest partuicles with different spin and gauge representations within the similar mass range. This leads to the challenge of identifying the signature of one or more such BSM scenarios at particle colliders, well distinguished from other BSM models as well as from SM backgrounds. In this doctoral work, we have principally considered a particular class of the BSM models, the Leptoquarks. They are coloured particles with spins 0 and 1, and share tree-level interaction vertices with a lepton and a quark. We study their signatures in different particle colliders, each collider characterising a particular trait, say spin or the gauge representation of the leptoquarks