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fix a couple of typos
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Alexander Voigt authored and Alexander Voigt committed Mar 13, 2016
1 parent 6abaa0a commit 9a60ed5
Showing 1 changed file with 16 additions and 4 deletions.
20 changes: 16 additions & 4 deletions meta/LoopFunctions.m
Original file line number Diff line number Diff line change
Expand Up @@ -53,7 +53,7 @@
B11[p_,m1_,m2_,mu_] :> B11impl[p,m1,m2,mu],
B22[p_,m1_,m2_,mu_] :> B22impl[p,m1,m2,mu],
B22tilde[p_,m1_,m2_,mu_] :> B22tildeimpl[p,m1,m2,mu],
C0[p1_,p2_,m1_,m2_,m2_,mu_] :> C0impl[p1,p2,m1,m2,m3,mu],
C0[p1_,p2_,m1_,m2_,m3_,mu_] :> C0impl[p1,p2,m1,m2,m3,mu],
D0[p1_,p2_,p3_,m1_,m2_,m3_,m4_,mu_] :> D0impl[p1,p2,p3,m1,m2,m3,m4,mu],
D27[p1_,p2_,p3_,m1_,m2_,m3_,m4_,mu_]:> D27impl[p1,p2,p3,m1,m2,m3,m4,mu],
F[p_,m1_,m2_,mu_] :> Fimpl[p,m1,m2,mu],
Expand Down Expand Up @@ -255,7 +255,7 @@
PossibleZeroQ[m1 - m2] && PossibleZeroQ[m1 - m3],
-1/(2*m3^2),
PossibleZeroQ[m1 - m2],
(-m2^2 + m3^2 - m3^2*Log[m3^2/m2^2])/(m2^2 - m3^2)^2
(-m2^2 + m3^2 - m3^2*Log[m3^2/m2^2])/(m2^2 - m3^2)^2,
PossibleZeroQ[m1 - m3],
(m2^2 - m3^2 - m2^2*Log[m2^2/m3^2])/(m2^2 - m3^2)^2,
PossibleZeroQ[m2 - m3],
Expand All @@ -266,6 +266,10 @@
- m3^2 / (m1^2 - m3^2) Log[m3^2/m1^2]) / (m2^2 - m3^2)
];

C0impl[0, 0, m1_, m2_, m3_, mu_] := C0zero[m1,m2,m3];

C0impl[p1_, p2_, m1_, m2_, m3_, mu_] := NotImplemented;

(* Eq. (C.21) *)
D0zero[m1_, m2_, m3_, m4_] := Which[
PossibleZeroQ[m1 - m2] && PossibleZeroQ[m1 - m3] &&
Expand All @@ -290,11 +294,19 @@
m3^2*m4^2*(-2*m2^2 + m3^2 + m4^2)*
Log[m4^2/m3^2])/((m2^2 - m3^2)^2*(m2^2 - m4^2)^2*(m3^2 - m4^2)),
True,
(C0impl[m1, m3, m4] - C0impl[m2, m3, m4])/(m1^2 - m2^2)];
(C0zero[m1, m3, m4] - C0zero[m2, m3, m4])/(m1^2 - m2^2)];

D0impl[0, 0, 0, m1_, m2_, m3_, m4_, mu_] := D0zero[m1, m2, m3, m4];

D0impl[p1_, p2_, p3_, m1_, m2_, m3_, m4_, mu_] := NotImplemented;

(* Eq. (C.22) *)
D27zero[m1_, m2_, m3_, m4_] :=
(m1^2 C0impl[m1, m3, m4] - m2^2 C0impl[m2, m3, m4])/(4 (m1^2 - m2^2));
(m1^2 C0zero[m1, m3, m4] - m2^2 C0zero[m2, m3, m4])/(4 (m1^2 - m2^2));

D27impl[0, 0, 0, m1_, m2_, m3_, m4_, mu_] := D27zero[m1, m2, m3, m4];

D27impl[p1_, p2_, p3_, m1_, m2_, m3_, m4_, mu_] := NotImplemented;

(* Eq. (B.11) *)
Fimpl[p_, m1_, m2_, mu_] :=
Expand Down

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