Numerical precision radiative corrections to the Dalitz plot of baryon semileptonic decays including the spin-momentum correlation of the decaying and emitted baryons
- Escuela Superior de Computo del IPN, Apartado Postal 75-702, Mexico, D.F. 07738 (Mexico)
We calculate the radiative corrections to the angular correlation between the polarization of the decaying and the direction of the emitted spin one-half baryons in the semileptonic decay mode to order ({alpha}/{pi})(q/M{sub 1}), where q is the momentum transfer and M{sub 1} is the mass of the decaying baryon. The final results are presented, first, with the triple integration of the bremsstrahlung photon ready to be performed numerically and, second, in an analytical form. A third presentation of our results in the form of numerical arrays of coefficients to be multiplied by the quadratic products of form factors is discussed. This latter may be the most practical one to use in Monte Carlo simulations. A series of cross-checks is performed. This paper is organized to make it accessible and reliable in the analysis of the Dalitz plot of precision experiments involving heavy quarks and is not compromised to fixing the form factors at predetermined values. It is assumed that the real photons are kinematically discriminated. Otherwise, our results have a general model-independent applicability.
- OSTI ID:
- 20705591
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 9; Other Information: DOI: 10.1103/PhysRevD.70.093012; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ACCURACY
ANGULAR CORRELATION
B QUARKS
BARYONS
BREMSSTRAHLUNG
C QUARKS
COMPUTERIZED SIMULATION
DALITZ PLOT
ELECTROMAGNETIC FORM FACTORS
EMISSION
MOMENTUM TRANSFER
MONTE CARLO METHOD
PHOTONS
POLARIZATION
RADIATIVE CORRECTIONS
REST MASS
SEMILEPTONIC DECAY
SPIN
T QUARKS