Neutrino Yukawa Textures within Type-I Seesaw

Table 3

Reparametrized quantities and relevant functions in Category 𝐴 and Category 𝐵.

Category 𝐴	Category 𝐵
𝑀𝜈𝐴	𝑀𝜈𝐵
𝑚𝐴=−𝑏^21𝑀2,	𝑚𝐵=−𝑏^22𝑀2,
𝑘1𝑒^𝑖(𝛼+𝛼′)=𝑎1𝑏1𝑀2𝑀1,	𝑙1𝑒^𝑖𝛽′=𝑎1𝑏2𝑀2𝑀1
𝑘2𝑒^𝑖𝛼′=𝑎2𝑏1,	𝑙2𝑒^𝑖𝛽=𝑏1𝑏2𝑀2𝑀1
𝑎𝛼=arg^1𝑎2	𝑏𝛽=arg^1𝑏2
𝑋^𝐴1=2√2𝑘2[(1+2𝑘^22)^2+𝑘^41+2𝑘^21(1+2𝑘^22)cos2𝛼]^1/2	𝑋^𝐵1=2√2𝑙1𝑙2[(𝑙^21+2𝑙^22)^2+1+2(𝑙^21+2𝑙^22)cos2𝛽]^1/2
𝑋^𝐴2=1−𝑘^41−4𝑘^42−4𝑘^21𝑘^22cos2𝛼	𝑋^𝐵2=1+4𝑙^22cos2𝛽+4𝑙^42−𝑙^41
𝑋^𝐴3=1−4𝑘^42−𝑘^41−4𝑘^21𝑘^22cos2𝛼−4𝑘^22	𝑋^𝐵3=1−(𝑙^21+2𝑙^22)^2−4𝑙^22cos2𝛽
𝑋^𝐴4=𝑘^41+4𝑘^42+4𝑘^21𝑘^22cos2𝛼	𝑋^𝐵4=𝑙^41