LEPTON FLAVOUR VIOLATION IN THE SIMPLEST LITTLE HIGGS MODEL
Andrea Lami 26/11/2015 Valencia
In collaboration with Jorge Portolés and Pablo Roig.
PROJECTS & CONCLUSIONS LFV in τ DECAY
COMPOSITE & LITTLE HIGGS MODELS
SIMPLEST LITTLE HIGGS MODEL & OUR WORK
LFV IN THE τ DECAY
With the τ decay into hadrons and with his semileptonic decays we can study the hadronic weak currents.
Actually the B-Factories have explored LFV τ decays until 10 ⁸ ⁻ sensitivities.
COMPOSITE HIGGS MODELS
Little Higgs models arise from the composite Higgs idea where some collective symmetry breaking has been implemented.
A scale of compositeness f.
The hierarchy between the electroweak and the compositeness scale is v/f<<1.
The Higgs potential is radiatively generated.
LITTLE HIGGS THEORIES:
SIMPLEST LITTLE HIGGS
Solve the little hierarchy problem without the T-parity E.W. Sector comes from a symmetry breaking of
SU(3)L x U(1)X
Every fermion family consists of an SU(3) left-handed triplet and 2 right-handed singlets
SIMPLEST LITTLE HIGGS
Scalar and fermion Lagrangian.
SIMPLEST LITTLE HIGGS
Vector and Yukawa Lagrangians
OUR WORK (in unitary gauge)
Channels
Penguin contributions
OUR WORK (in unitary gauge)
Channels
Box contributions
HADRONIZATION
J. Gasser and H. Leutwyler, Ann. Phys. (NY) 158 (1984)142.
G. Ecker, J. Gasser, A. Pich and E. de Rafael, Nucl. Phys. B 321 (1989) 311.
E. Arganda, M. J. Herrero and J. Portolés, JHEP 0806 (2008) 079.
The hadronization is performed within the chiral framework (Resonance Chiral Theory).
RESULTS
RESULTS
RESULTS
RESULTS
Random variation of the parameters
IN PROJECT
Higgs contribution in the LFV.
CONCLUSIONS
All the Branchings are between 10 ¹² and 10 ¹ when ⁻ ⁻ ⁶ 2<f<10 TeV.
All our results suppose MN<1 TeV.
We supposed sin(2θ)<0,25.
And tan(β)<10.
