(Assisted) Baryon Number Violation in 4k+2 Dimensions
摘要
Proton decay in six dimensions orbifolded on square \(T^2/Z_2\) is highly suppressed at tree-level. This is because baryon number violating (BNV) operators containing only the zero mode of bulk fermions must satisfy the selection rule \(\frac{3}{2} \Delta B \pm \frac{1}{2}\Delta L = 0 \ mod \ 4\) . Here, we show that the above relation does not prohibit mass dimension-6 BNV operators containing Kaluza Klein (KK) partners of the bulk fermions. Together with ‘spinless’ adjoint scalar partner of hypercharge gauge boson (the Dark Matter candidate), these novel operators generate Dark Matter assisted proton decay at mass dimension-8. Here, with explicit examples of scalar and vector baryon number violating interactions, we discuss the importance of such \(\Delta B=1 =\Delta L\) and \(\Delta B=2=\Delta L\) operators and derive the limit on New Physics.