  Theoretical research has long played an essential role in interpreting data
from high-energy particle colliders and motivating new accelerators to advance
the energy and precision frontiers. Collider phenomenology is an essential
interface between theoretical models and experimental observations, since
theoretical studies inspire experimental analyses while experimental results
sharpen theoretical ideas. This report -- from the Snowmass 2021 Theory
Frontier topical group for Collider Phenomenology (TF07) -- showcases the
dynamism, engagement, and motivations of collider phenomenologists by exposing
selected exciting new directions and establishing key connections between
cutting-edge theoretical advances and current and future experimental
opportunities. By investing in collider phenomenology, the high-energy physics
community can help ensure that theoretical advances are translated into
concrete tools that enable and enhance current and future experiments, and in
turn, experimental results feed into a more complete theoretical understanding
and motivate new questions and explorations.
