A Mathematica based Version of the CKMfitter Package

Chapter 7
Conclusions and Perspectives
This thesis is a contribution to the development of a Mathematica based version of
the CKMfitter package. It had been introduced by Jérôme Charles to obtain a
significant fit time reduction compared to the original FORTRAN based CKMfitter
package. Using symbolic calculations during the fit preparation and an efficient
FORTRAN based minimization routine, a gain in CPU time of more than a factor
100 has been achieved for the Standard Global CKM Fit.
Related to the Standard Global CKM Fit, the theory of neutral meson oscillations
has been implemented for the B 0 d , B0 s and K 0 systems as well as the theory predictions
for the branching fraction of purely leptonic B-meson decays. More specifically,
the following observables have been implemented: ∆md, ∆ms, ASL, |ɛK| and
B(B + → l + νl).
For the treatment of look-up-table input files, e. g. for ∆ms, B(B + → τ + ντ ) and the
UT angles α and γ, FORTRAN based subroutines (TABLEAU, dTABLEAUO2, LoadLUT)
have been coded. The interpolation of the look-up tables is performed by a Mathematica-based
subroutine using cubic spline interpolation.
The results of the Standard Global CKM Fit show a good agreement between SM
predictions and recent data. The Wolfenstein parameters have been constraint
at 68 % CL to:
A = 0.813 +0.015
+0.0010
+0.028
+0.038
−0.015 , λ = 0.2272 −0.0010 , ¯ρ = 0.187 −0.086 , ¯η = 0.333 −0.017 , (7.1)
and the Jarlskog invariant, which is related to the strength of CP violation in electroweak
transitions is found to be:
J = � 3.02 +0.36�
−5
−0.18 · 10 . (7.2)
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