You tilt your Lift vector towrds the centre of the turn. Therefore, thepart of the Lift opposing the Weight becomes smaller. One way of increasing lift would be to pull collectiove, upsetting the balance of the helicopter by requiring more pedal, adjusting the ANU to remain level, etc, the quick way is to pull the nose up a fraction, so the Lift vector is less tilted in a FWD direction and more upright, resulting in an equilibrium with gravity. If you keep it ther too long, thought, you will lose speed because of less Thrust due to the tilt of the lift vector.
Something like that anyway..