D\bar{D}$ Mixing in Heavy Quark Effective Field Theory: The Sequel

4 Pages·0.03 MB·English

by  Thorsten Ohl

u d;s c u cv
=)
c d;s u cv u
f g
Figure 1: Matching of the four-quark operators at (cid:22) (cid:25)mc
u c u cv
c d;s u cv u
=)

6 7
c u cv u
u d;s c u cv
=)

8 9
Figure 2: Six-quark matching

u c u cv
=)
c u cv u
a A
Figure 3: An example of a leading contribution to eight-quark matching.
This graph corresponds to (l:l::) in the notation of section ??.
1
a)1 b)2 c)3
Figure 4: Gluon insertion into light-light, heavy-light, and heavy-heavypairs
of quark lines.
(:lr) (lr:)
r s
(r:l) (l:r)
u t
(l:l) (r:r)
v w
Figure 5: Running of the four-quark operators
2
10
8
6
4
2
0
-1 -0.5 0 0.5 1 1.5
Figure 6: Multiplicity distribution of the eigenvalues of the anomalous di-
D
mension matrix (cid:13)~8 =18 for the six-quark operators in the case N =3.
3
35
30
25
20
15
10
5
0
-1 -0.5 0 0.5 1 1.5
Figure 7: Multiplicity distribution of the eigenvalues of the anomalous di-
D
mension matrix (cid:13)~8 =18 for the eight-quark operators in the case N = 3.
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