Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-04-24
Eur.Phys.J.A45:389-399,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages latex using EPJ style files, 5 figures; v2 is version accepted by EPJA in Tools section; sentences and figures improv
Scientific paper
10.1140/epja/i2010-11010-5
We present a general formalism for deriving bounds on the shape parameters of the weak and electromagnetic form factors using as input correlators calculated from perturbative QCD, and exploiting analyticity and unitarity. The values resulting from the symmetries of QCD at low energies or from lattice calculations at special points inside the analyticity domain can beincluded in an exact way. We write down the general solution of the corresponding Meiman problem for an arbitrary number of interior constraints and the integral equations that allow one to include the phase of the form factor along a part of the unitarity cut. A formalism that includes the phase and some information on the modulus along a part of the cut is also given. For illustration we present constraints on the slope and curvature of the K_l3 scalar form factor and discuss our findings in some detail. The techniques are useful for checking the consistency of various inputs and for controlling the parameterizations of the form factors entering precision predictions in flavor physics.
Abbas Gauhar
Ananthanarayan Balasubramanian
Caprini Irinel
Imsong Sentitemsu I.
Ramanan Sunethra
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