Coherent exclusive exponentiation for precision Monte Carlo calculations -art. no. 113009

We present the new coherent exclusive exponentiation (CEEX), the older excl usive exponentiation (EEX), and the semianalytical inclusive exponentiation (IEX) for the process e(-)e(+)-->f (f) over bar +n gamma, where f = mu, ta u ,d,u,s,c,b, which are valid for center-of-mass energies from the tau lept on threshold to 1 TeV, that is, for CERN LEP1, LEP2, the SLC, future linear colliders, and b,c,tau factories, etc. The approaches are based on Yennie- Frautschi-Suura exponentiation. In CEEX, the effects due to photon emission from initial beams and outgoing fermions are calculated in QED up to secon d order, including all interference effects. Electroweak corrections are in cluded to first order, at the amplitude level. Beams can be polarized longi tudinally and transversely, and all spin correlations are incorporated in a n exact manner. The EEX is more primitive, lacks initial-final interference s, but it is valuable for testing the newer CEEX. The IEX provides us with a set of sophisticated semianalytical formulas for the total cross section and selected inclusive distributions, which are mainly used for cross-check s of the Monte Carlo results. We analyze numerical results at the Z peak, 1 89 GeV and 500 GeV for simple kinematical cuts (comparisons with inclusive exponentiation) and for realistic experimental cuts. The physical precision and technical precision are determined for the total cross section and for the charge asymmetry.