Electromagnetic radiation emitted by the colliding beams is expected to play an important role at the next generation of high energy e + e − linear collider(s). Focusing on the simplest process e + e − → µ + µ − , we show that radiative effects like initial state radiation (ISR) and beamstrahlung can lead to greatly-enhanced signals for resonant graviton modes of the Randall-Sundrum model.
IntroductionThe next generation of high-energy e + e − colliders [1, 2] will necessarily have linear design in order to avoid crippling energy losses from synchrotron radiation. Obviously any linear collider will have single-pass colliding beams, unlike a storage ring where multiple bunchcrossings are possible. High luminosities at linear machines can only be achieved, therefore, by using beams with bunches of high number density -which, in practice, means that the bunches must be focussed to very small sizes. Thus, as compared to a bunch length of around 100 µm at the now-decommissioned LEP Collider, the bunches at the planned TESLA are expected to be around 553 nm × 5 nm × 300 nm, while at the CLIC the planned size is 202 nm × 2.5 nm × 30 nm. In fact, narrow, intense beams of this kind constitute a basic and unavoidable part of the design of all the proposed high-energy e + e − machines including the International Linear Collider (ILC), which is now being planned and designed through a major international effort [3].Although high number densities per bunch do enable the machine(s) in question to achieve the required luminosity, this feature of the design is not unaccompanied by its own set of problems. These arise because very high densities of charged particles at the interaction point will naturally lead to the generation of strong electromagnetic fields in and around every colliding bunch. Interaction of beam constituents (e ± ) with the (strong) accelerating