Bluetooth is a technology that uses radio frequencies and infrared is a type of non visible radiation that when applied to computer communications task was called IrDA. Both IrDA and Bluetooth have similar technological objectives in providing solutions for wireless short range control and communications with computers, telephones, and other consumer devices.
Both technologies use radiation present in the electromagnetic spectrum at extremely low power levels to maintain their objectives of "short" range communications. The electromagnetic spectrum encompasses the entire range of ionizing and non-ionizing radiation extending in frequency from approximately 1023 hertz to 0 hertz, or in corresponding wavelengths, from 10-13 centimeter to infinity. This spectrum includes all forms of classical non-ionizing radiation we are familiar with including ultraviolet light, visible light, infrared (light) radiation, microwaves, and radio waves. The spectrum also includes ionizing radiation such as cosmic-ray photons, gamma rays, x-rays.
It is well known that ionizing radiation such as cosmic-ray photons, gamma rays, x-rays even at low levels can cause damage to living organisms and such damage is bio-accumulative.
The effects of non-ionizing radiation such as ultraviolet light, visible light, infrared (light) radiation, microwaves, and radio waves also has known affects on living organisms. For instance it is ultraviolet light from the sun that gives us both sun tans and a hazard from skin cancer. Non-visible infrared from a fireplace can be comforting when it is cold outside. We use microwaves to cook all kinds of food.
There appears to be no short term hazards in using Bluetooth and Cellular phones. However the question you pose has been the subject of global debate.
It may seem obvious but LONG TERM empirical studies of LOW LEVEL exposure to anything requires the passage of real time. Such studies and experiments run concurrent with the potential exposure of millions of people that may be using such technologies while they are being studied.
The effects of using tobacco is a great example of a consumer product that was widely used, sold, and promoted without having information on the hazards. Huge litigation settlements in this country suggest that much was known about the hazards of tobacco but this information was concealed from the public.