Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-28
JHEP 0909:036,2009
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 51 pages, 4 figures, typos corrected, note added
Scientific paper
10.1088/1126-6708/2009/09/036
We study the local structure of zero mode wave functions of chiral matter fields in F-theory unification. We solve the differential equations for the zero modes derived from local Higgsing in the 8-dimensional parent action of F-theory 7-branes. The solutions are found as expansions both in powers and derivatives of the magnetic fluxes. Yukawa couplings are given by an overlap integral of the three wave functions involved in the interaction and can be calculated analytically. We provide explicit expressions for these Yukawas to second order both in the flux and derivative expansions and discuss the effect of higher order terms. We explicitly describe the dependence of the couplings on the U(1) charges of the relevant fields, appropriately taking into account their normalization. A hierarchical Yukawa structure is naturally obtained. The application of our results to the understanding of the observed hierarchies of quarks and leptons is discussed.
Font Anamaria
Ibanez Luis E.
No associations
LandOfFree
Matter wave functions and Yukawa couplings in F-theory Grand Unification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Matter wave functions and Yukawa couplings in F-theory Grand Unification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matter wave functions and Yukawa couplings in F-theory Grand Unification will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-682092