Advances in High Energy Physics

Review Article

A Simple Introduction to GrΓΆbner Basis Methods in String Phenomenology

Table 1

The set of elementary gauge invariant operators for the electroweak sector of the MSSM.
Type Explicit sum Index Number
𝐿 𝐻 𝐿 𝑖 𝛼 𝐻 𝛽 πœ– 𝛼 𝛽 𝑖 = 1 , 2 , 3 3
𝐻 𝐻 𝐻 𝛼 𝐻 𝛽 πœ– 𝛼 𝛽 1
𝐿 𝐿 𝑒 𝐿 𝑖 𝛼 𝐿 𝑗 𝛽 𝑒 π‘˜ πœ– 𝛼 𝛽 𝑖 , 𝑗 = 1 , 2 , 3 ; π‘˜ = 1 , … , 𝑗 βˆ’ 1 9
𝐿 𝐻 𝑒 𝐿 𝑖 𝛼 𝐻 𝛽 πœ– 𝛼 𝛽 𝑒 𝑗 𝑖 , 𝑗 = 1 , 2 , 3 9
𝜈 𝜈 𝑖 𝑖 = 1 , 2 , 3 1