A supercharging arrangement for an internal combustion engine comprising: a supercharger having a rotational drive input, a transmission having a rotational drive input to receive drive from an internal combustion engine, a rotational drive output connected to the input of the supercharger, and a variator, operatively connected between the input and the output of the transmission, the variator comprising: an input race (10, 512, 514) and an output race (14, 520, 522) each having a working surface, the races being coaxially mounted for rotation about a variator axis, and a toroidal cavity being defined between the working surfaces; at least one rolling element (20, 22, 534, 536) disposed between the working surfaces, the or each rolling element (20, 22, 534, 536) having one first rolling contact with one working surface and a second rolling contact, these two contacts defining a pitch axis, the or each rolling element (20, 22, 534, 536) being mounted on a carriage assembly (24, 26) for rotation about a rolling axis, the radius of the first rolling contact with the one working surface being variable with respect to the variator axis in accordance with the ratio of the variator, the or each rolling element being mounted for pivotal movement about the pitch axis; a control member operative to actuate the or each rolling element to cause pivotal movement and thereby change the pitch angle, and thereby cause the carriage assembly to pivot about a tilt axis to effect a change in variator ratio; and a mechanical end-load system (548, 592, 594, 642, 644) which applies an axial end-load force to the rolling elements directly related to torque transmitted through the variator, characterized by the supercharging arrangement further comprising a cooling pump adapted to deliver cooling fluid to the variator rolling elements, wherein the said cooling pump is driven by an electric motor. a supercharger having a rotational drive input, a transmission having a rotational drive input to receive drive from an internal combustion engine, a rotational drive output connected to the input of the supercharger, and a variator, operatively connected between the input and the output of the transmission, the variator comprising: an input race (10, 512, 514) and an output race (14, 520, 522) each having a working surface, the races being coaxially mounted for rotation about a variator axis, and a toroidal cavity being defined between the working surfaces; at least one rolling element (20, 22, 534, 536) disposed between the working surfaces, the or each rolling element (20, 22, 534, 536) having one first rolling contact with one working surface and a second rolling contact, these two contacts defining a pitch axis, the or each rolling element (20, 22, 534, 536) being mounted on a carriage assembly (24, 26) for rotation about a rolling axis, the radius of the first rolling contact with the one working surface being variable with respect to the variator axis in accordance with the ratio of the variator, the or each rolling element being mounted for pivotal movement about the pitch axis; a control member operative to actuate the or each rolling element to cause pivotal movement and thereby change the pitch angle, and thereby cause the carriage assembly to pivot about a tilt axis to effect a change in variator ratio; and a mechanical end-load system (548, 592, 594, 642, 644) which applies an axial end-load force to the rolling elements directly related to torque transmitted through the variator, characterized by the supercharging arrangement further comprising a cooling pump adapted to deliver cooling fluid to the variator rolling elements, wherein the said cooling pump is driven by an electric motor. an input race (10, 512, 514) and an output race (14, 520, 522) each having a working surface, the races being coaxially mounted for rotation about a variator axis, and a toroidal cavity being defined between the working surfaces; at least one rolling element (20, 22, 534, 536) disposed between the working surfaces, the or each rolling element (20, 22, 534, 536) having one first rolling contact with one working surface and a second rolling contact, these two contacts defining a pitch axis, the or each rolling element (20, 22, 534, 536) being mounted on a carriage assembly (24, 26) for rotation about a rolling axis, the radius of the first rolling contact with the one working surface being variable with respect to the variator axis in accordance with the ratio of the variator, the or each rolling element being mounted for pivotal movement about the pitch axis; a control member operative to actuate the or each rolling element to cause pivotal movement and thereby change the pitch angle, and thereby cause the carriage assembly to pivot about a tilt axis to effect a change in variator ratio; and a mechanical end-load system (548, 592, 594, 642, 644) which applies an axial end-load force to the rolling elements directly related to torque transmitted through the variator, characterized by the supercharging arrangement further comprising a cooling pump adapted to deliver cooling fluid to the variator rolling elements, wherein the said cooling pump is driven by an electric motor.