Two particles, \(A\) and \(B\), enter a bubble chamber moving horizontally to the right with the same speed \(v\). The bubble chamber contains a uniform magnetic field \(\vec{B}\) directed perpendicularly into the page. Inside the chamber, Particle \(A\) curves upward along a circular path of radius \(R_A\), while Particle \(B\) curves downward along a circular path of radius \(R_B\), where \(R_A > R_B\). Assuming both particles have charges of equal magnitude, which of the following correctly identifies the sign of the charge on Particle \(A\) and compares the mass of Particle \(A\) (\(m_A\)) to the mass of Particle \(B\) (\(m_B\))?