Diapositiva 1

1
Radiative corrections in Kl3 decays
Andrea MarroccoPh.D. student, University Roma
Tre Ph.D. thesis supervisor G. Isidori
2
Thesis
Decay rate calculation including radiative
corrections
Dimensional regularization for both UV IR
divergences
3
The decay amplitude
4
Self energy
5
Ki coefficients of the O(e2p2) mesonic
Lagrangian Urech, 95
6
(No Transcript)
7
Xi coeff. of the O(e2p2) leptonic Lagrangian
Neufeld Rupertsberger, 95-96
8
(No Transcript)
9
(No Transcript)
10
(No Transcript)
11
(No Transcript)
12
Full agreement with Cirigliano et al.
13
Real photon emission process
14
(No Transcript)
15
(No Transcript)
16
Strategy to isolate the divergences
17
Conclusions Outlook

• Full analytical agreement with Cirigliano et al.
  in the virtual corrections
• Differential decay rate calculation with real
  emission completed -gt explicit check of the
  cancellation of infrared divergences
• The IR-safe observable differential rate depends
  on z and l2. For each bin of
  l2 we are numerically calculating the O(a)
  corrections to the decay rate (numerical results
  in progress..).
• Calculation performed for both K and K0 decays
• For each channel we expect to reach the same
  accuracy of Cirigliano et al. (counterterms error
  few x 0.001)
• For the ratio between the decay rates of
  electronic channel and muonic channel we expect a
  better accuracy because many counterterms cancel
  ( 0.001)