Science is a wonderful thing if one doesn't have to earn one's living on it... [A.Einstein]
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Beyond Standard Model II (NJSF140) course exercise sheets   
Exercise sheet 1: Running weak mixing angle in the simplest GUTs
In this exercise you are supposed to use the one-loop RG evolution of the three effective SM gauge couplings in simple GUTs to predict the electroweak-scale value of the weak mixing angle.
Exercise sheet 2: Running effective quartic Higgs coupling
Here you shall inspect the constraints on the electroweak-scale value of the quartic Higgs scalar coupling from the requirement of the absence of a Landau pole up to a given renormalization scale along with the corresponding SM vacuum stability bounds.
Lecture notes   
Notes ver. 1
This is the first (and very incomplete) version of the lecture notes.
Lecture videos and (some) board snapshots    here
Lecture 1
SM as an effective low-energy theory. Decoupling of heavy degrees of freedom from the low-energy amplitudes, Appelquist-Carazzone theorem.
Lecture 2
Classification of the d=5 effective operators in SMEFT, their transformations, bases. Reduced-background effects (d=5 contributions to the anomalous magnetic moments in QED, their d=6 SM counterparts; CP violation and electric dipole moments, baryon and lepton number violating operators).
Lecture 3
Proton decay at d=6 level in SMEFT and its kinematics. Proton-decaying BLNV effective operators and their renormalizable openings. Vector and scalar leptoquark mediators.
Lecture 4
SM gauge beta-functions in presence of the X vectors and Delta scalars, the peculiar normalization factor of the U(1) coupling. The idea of grand unification and the minimal SU(5) GUT scenario.

Success is not final, failure is not fatal: it is the courage to continue that counts. [W.Churchill]
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