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fermion and sfermion masses. Melina Gómez Bock. Mini-Workshop on flavor physics: Mexican taste 24-25 November 2008. flavor history. . .. el sabor leptónico nació con el descubrimiento del muón y la famosa pregunta de I.I. Rabi: ¿ quién ordenó esto? [W. Marciano:97]. Light!.
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fermion and sfermion masses Melina Gómez Bock Mini-Workshop on flavor physics: Mexican taste 24-25 November 2008
flavor history ...el sabor leptónico nació con el descubrimiento del muón y la famosa pregunta de I.I. Rabi: ¿ quién ordenó esto? [W. Marciano:97] Light! Una vez que Gell-Mann y yo ibamos camino a un restaurant en Pasadena para comer, pasamos por un lugar de helados Baskin & Robins, donde anunciaban 32 sabores diferentes. De repente, a Murray se le ocurri¶o una propuesta para usar el término “sabor" (...) para distinguir entre los diferentes grados de libertad de los quarks.[Fritzsch:01]
contents • SUSY • Flavor in SUSY • Sfermions masses • Radiative generation of lepton masses • Flavor violation processes
CPV E Planck Scale 1019GeV 10-44s 10-33cm GU FV SUSY FCNC EW 246 MeV Standard Model EM weak x t strong gravity 1GeV = 1.2 13 K
Susy Q fermions bosons Q | > = | > Q | > = | >
Chiral supermultiplet Fermión de Weyl Campo escalar complejo
General contributions to sfermion mass From Soft SUSY breaking terms Direct contribution to sfermion masses Contribution through Higgs interaction
Trilineal scalar couplings Off-diagonal mass terms trilineal mass terms
Trilineal terms • Several conditions or scenarios have been proposed , which reduce the number of free parameters and safely fit the experimental restrictions. • degeneration, where different sfermion families have the same mass; • proportionality, here the trilinear A-terms are proportional to the Yukawa couplings (SUGRA)[Hall:86] ; • decoupling, where the superpartners are too heavy to affect the low energy physics(Split SUSY, focus point SUSY, inverted hierarchy)[Feng:05]; • alignment, in this case the same physics that plains the fermion mass spectra and mixing angles also would explain the pattern of sfermions mass spectra [Nir:1993]
Trilineal term Ansatz advantages: We have a defined mixing angle for sfermions Analitic expresions for FV processes We have no dependence on renormalization scale Q We are able to compare with low scale data Bound the parameter space of the model We have expresions for mass values of different sfermions -> non-universality
Hierarchy problem h0 h0