Machining tool with a double tubular body and method for manufacturing such a tool

A machining tool, comprising:

• a body that extends along a longitudinal axis about which the machining tool is intended to be set in relative rotation with respect to a part to be machined;
• and
• at least one machining member secured to the body;
• wherein the body comprises:
• a central tubular portion forming a duct centered on the longitudinal axis;
• a peripheral tubular portion that is coaxial with the central tubular portion and surrounds the central tubular portion;
• a first machining stage having a first arm and a second arm that extend on either side of the central tubular portion, the first arm and the second arm each having a machining member at the end thereof, the first arm and the second arm each being integral with the central tubular portion and the peripheral tubular portion;
• and
• a baseplate connecting the central tubular portion and the peripheral tubular portion, this baseplate having means for attachment to a machine-tool spindle;
• and
• wherein the peripheral tubular portion comprises at least one linking arch connecting the first arm and the second arm and bypassing the central tubular portion.