Question

How do right handed quark doublets transform under $SU(2)_R$ transforms?

Answer 1

This article describes the mathematics of the Standard Model of particle physics, a gaugequantum field theory containing the internal symmetries of the unitary product groupSU(3) × SU(2) × U(1). The theory is commonly viewed as containing the fundamental set of particles – the leptons, quarks, gauge bosonsand the Higgs particle.

Answer 2

In the context of proving that the SM custodial symmetry is broken by Yukawa coupling to fermions using a 4D Higgs vector representation,

Φ––=(Φiσ2Φ)

That transforms under SU(2)L⊗SU(2)RSU
Φ––→Φ––′=(UR⊗UL)Φ––withUR∈SU(2)