Das anomale magnetische Moment des Myons im minimalen ...
Das anomale magnetische Moment des Myons im minimalen ...
Das anomale magnetische Moment des Myons im minimalen ...
Sie wollen auch ein ePaper? Erhöhen Sie die Reichweite Ihrer Titel.
YUMPU macht aus Druck-PDFs automatisch weboptimierte ePaper, die Google liebt.
B.2 Komponenten von Vielfachen der Neutralinomassenmatrix<br />
Für C := Y Y † Y Y † Y gilt:<br />
( )<br />
C 11 = M 1 |M 1 | 4 + MZ 2 sW[ 2 2 M1 |µ| 2 + 2 |M 1 | 2 + MZ<br />
2 ( ]<br />
+ MZ<br />
2 M1 s 2 W + M 2 cW) 2<br />
[<br />
C 12 = −MZ 2 s W c W (M1 + M 2 ) ( )<br />
|µ| 2 + |M 1 | 2 + |M 2 | 2 + MZ<br />
2 ( ]<br />
+ MZ<br />
2 M1 s 2 W + M 2 cW) 2<br />
[ ( ( )]<br />
C 13 = −µ M Z s W M1 |µ| 2 + |M 1 | 2 + MZ) 2 + M<br />
2<br />
Z M1 s 2 W + M 2 c 2 W<br />
[ ( ( )]<br />
C 23 = µ M Z c W M2 |µ| 2 + |M 2 | 2 + MZ) 2 + M<br />
2<br />
Z M1 s 2 W + M 2 c 2 W<br />
(<br />
C 33 = µ 2 MZ<br />
2 M1 s 2 W + M 2 cW)<br />
2<br />
(B.14)<br />
(B.15)<br />
(B.16)<br />
(B.17)<br />
(B.18)<br />
Für D := Y Y † Y Y † Y Y † Y gilt:<br />
D 11 = M 1 |M 1 | 6 + MZ 2 s 2 W<br />
{<br />
[<br />
6 M 1 |M 1 | 4 + MZ<br />
2 2 |M1 | ( ) 2 3 M 1 s 2 W + M 2 c 2 W + M<br />
∗<br />
2 (M 1 + M 2 ) 2 cW]<br />
2<br />
+ 2 ( |µ| 2 + M 2 Z) [<br />
M1<br />
(<br />
|µ| 2 + 2 |M 1 | 2 + M 2 Z)<br />
+ M<br />
2<br />
Z<br />
(<br />
M1 s 2 W + M 2 c 2 W) ] } (B.19)<br />
D 12 = −M 2 Z s W c W<br />
{(M 1 + M 2 ) ( |M 1 | 4 + |M 1 | 2 |M 2 | 2 + |M 2 | 4)<br />
+ M 2 Z<br />
[<br />
|M1 | 2 ( M 2 + (3 M 1 + M 2 ) s 2 W<br />
)<br />
+ |M2 | 2 ( M 1 + (M 1 + 3 M 2 ) c 2 W) ]<br />
+ ( [<br />
|µ| 2 + MZ) 2 (M1 + M 2 ) ( |µ| 2 + |M 1 | 2 + |M 2 | 2 + MZ<br />
2<br />
( ) ] }<br />
+ 2 MZ<br />
2 M1 s 2 W + M 2 c 2 W (B.20)<br />
D 13 = −µ M Z s W<br />
{<br />
[<br />
M 1 |M 1 | 4 + MZ<br />
2 |M1 | ( ) 2 3 M 1 s 2 W + M 2 c 2 W + |M2 | 2 (M 1 + M 2 ) cW]<br />
2<br />
+ ( |µ| 2 + M 2 Z) [<br />
M1<br />
(<br />
|µ| 2 + |M 1 | 2 + M 2 Z)<br />
+ 2 M<br />
2<br />
Z<br />
(<br />
M1 s 2 W + M 2 c 2 W) ] } (B.21)<br />
D 23 = µ M Z c W<br />
{<br />
[<br />
M 2 |M 2 | 4 + MZ<br />
2 |M2 | ( ) 2 M 1 s 2 W + 3 M 2 c 2 W + |M1 | 2 (M 1 + M 2 ) sW]<br />
2<br />
+ ( |µ| 2 + M 2 Z) [<br />
M2<br />
(<br />
|µ| 2 + |M 2 | 2 + M 2 Z)<br />
+ 2 M<br />
2<br />
Z<br />
(<br />
M1 s 2 W + M 2 c 2 W) ] } (B.22)<br />
)<br />
D 33 = µ 2 M 2 Z<br />
{<br />
M1 |M 1 | 2 s 2 W + M 2 |M 2 | 2 c 2 W<br />
+ 2 ( |µ| 2 + M 2 Z) (<br />
M1 s 2 W + M 2 c 2 W<br />
) }<br />
(B.23)<br />
89