Current fluctuations and electron-electron interactions in coherent conductors

We analyze current fluctuations in mesoscopic coherent conductors in the presence of electron-electron interactions. In a wide range of parameters we obtain explicit universal dependences of the current noise on temperature, voltage, and frequency. We demonstrate that Coulomb interaction decreases the Nyquist noise. In this case the interaction correction to the noise spectrum is governed by the combination ${\sum }_n{T}_n{(T}_n-1),$ where $T_n$ is the transmission of the nth conducting mode. The effect of electron-electron interactions on the shot noise is more complicated. At sufficiently large voltages we recover two different interaction corrections entering with opposite signs. The net result is proportional to ${\sum }_n{T}_n{(T}_n-1\left)\right(1-{2T}_n);$ i.e., Coulomb interaction decreases the shot noise at low transmissions and increases it at high transmissions.