Eur. Phys. J. C 69, 623-640 (2010)
https://doi.org/10.1140/epjc/s10052-010-1433-0

Constraining new physics with B→K ^∗ μ ⁺ μ ⁻ in the early LHC era

¹ IPPP, Department of Physics, University of Durham, Durham, DH1 3LE, UK
² Department of Physics, CERN, 1211, Geneva 23, Switzerland
³ Imperial College London, London, SW7 2AZ, UK

a.k.m.bharucha@dur.ac.uk

Received: 18 May 2010
Revised: 30 July 2010
Published online: 14 September 2010

Abstract

We investigate the observables available in the angular distribution of B→K ^∗ μ ⁺ μ ⁻ to identify those suitable for measurements in the first few years of LHC data taking. There are three observables that may be extracted by counting signal events as a function of one or two decay angles and correspond to large features of the full angular distribution in the Standard Model: A _FB, F _L, and S ₅. Two of these are well known in the experimental community; however, we show that measuring S ₅ adds complementary sensitivity to physics beyond the Standard model. Like A _FB, it features a zero-crossing point with reduced hadronic uncertainties at leading order and in the large recoil limit. Due to the high gradient of S ₅ at this point, we find it would be possible for LHCb to measure it to high precision. Current experimental model independent constraints on parameter space are presented and predictions made for the values of the A _FB and S ₅ zero-crossing points. The relative impact of early LHCb measurements of A _FB, F _L, and S ₅ is assessed. These issues are explored with a new model of the decay that can be used with standard simulation tools such as EVTGEN.