A detector chamber contains a uniform magnetic field \(\vec{B}\) aligned parallel to its central axis. A cosmic ray particle of mass \(m\) and positive charge \(q\) enters the field with kinetic energy \(K\) at an angle \(\theta\) relative to the direction of \(\vec{B}\), causing the particle to move in a helical path. To ensure the particle remains confined within a maximum radial distance \(R\) from its central helix axis, what is the minimum magnetic field magnitude \(B\) required, expressed in terms of \(m\), \(q\), \(K\), \(R\), \(\theta\), and fundamental constants?