PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute
PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute
PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute
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−L H0<br />
ν,Σ 0 = H0 {ν m (C H0 ,L<br />
νν P L +C H0 ,R<br />
νν P R )ν m +{ν m (C H0 ,L<br />
νΣ 0 P L +C H0 ,R<br />
νΣ 0 P R )Σ 0 m +h.c}<br />
+Σ 0 m (CH0 ,L<br />
Σ 0 Σ 0 P L +C H0 ,R<br />
Σ 0 Σ 0 P R )Σ 0 m }<br />
(B6)<br />
−L h0<br />
ν,Σ 0 = h0 {ν m (C h0 ,L<br />
νν P L +C h0 ,R<br />
νν P R )ν m +{ν m (C h0 ,L<br />
νΣ 0 P L +C h0 ,R<br />
νΣ 0 P R )Σ 0 m +h.c}<br />
+Σ 0 m (Ch0 ,L<br />
Σ 0 Σ 0 P L +C h0 ,R<br />
Σ 0 Σ 0 P R )Σ 0 m }<br />
(B7)<br />
−L A0<br />
ν,Σ 0 = A0 {ν m (C A0 ,L<br />
νν P L +C A0 ,R<br />
νν P R )ν m +{ν m (C A0 ,L<br />
νΣ 0 P L +C A0 ,R<br />
νΣ 0 P R )Σ 0 m +h.c}<br />
+Σ 0 m (CA0 ,L<br />
Σ 0 Σ 0 P L +C A0 ,R<br />
Σ 0 Σ 0 P R )Σ 0 m }<br />
(B8)<br />
−L G0<br />
ν,Σ 0 = G0 {ν m (C G0 ,L<br />
νν P L +C A0 ,R<br />
νν P R )ν m +{ν m (C G0 ,L<br />
νΣ 0 P L +C G0 ,R<br />
νΣ 0 P R )Σ 0 m +h.c}<br />
+Σ 0 m (CG0 ,L<br />
Σ 0 Σ 0 P L +C G0 ,R<br />
Σ 0 Σ 0 P R )Σ 0 m }<br />
(B9)<br />
−L H±<br />
l,Σ 0 ,ν,Σ = − H− {l m (C H− ,L<br />
lν<br />
P L +C H− ,R<br />
lν<br />
P R )ν m +l m (C H− ,L<br />
lΣ<br />
P 0 L +C H− ,R<br />
lΣ<br />
P 0 R )Σ 0 m<br />
+Σ − ,L<br />
m (CH− Σ − Σ<br />
P 0 L +C H− ,R<br />
Σ − Σ<br />
P 0 R )Σ 0 m }+H+ {¯ν m (C H+ ,L<br />
νΣ<br />
P − L +C H+ ,R<br />
νΣ<br />
P − R )Σ − m }<br />
+h.c<br />
(B10)<br />
−L G±<br />
l,Σ 0 ,ν,Σ = − G− {l m (C G− ,L<br />
lν<br />
P L +C G− ,R<br />
lν<br />
P R )ν m +l m (C G− ,L<br />
lΣ<br />
P 0 L +C G− ,R<br />
lΣ<br />
P 0 R )Σ 0 m<br />
+Σ − ,L<br />
m (CG− Σ − Σ<br />
P 0 L +C G− ,R<br />
Σ − Σ<br />
P 0 R )Σ 0 m }+G+ {¯ν m (C G+ ,L<br />
νΣ<br />
P − L +C G+ ,R<br />
νΣ<br />
P − R )Σ − m }<br />
+h.c<br />
(B11)<br />
The exact vertex factors C X,L/R<br />
FI<br />
are listed in Tables 3.13, 3.14, 3.15.<br />
for our two Higgs doublet type-III seesaw model<br />
B.2: Lepton-Gauge coupling<br />
The lepton-gauge couplings come from the kinetic energy terms for the Σ fields in the<br />
Lagrangian. The kinetic energy terms are given as<br />
−L k = Σ R iγ µ D µ Σ R +L SM<br />
k ,<br />
(B12)<br />
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