ggttbar effective vertex

Asked by starterism

My BSM model can generate a four-point ggttbar vertex. it seems calchep can't calculate this kind of vertex ( just like 4-feimi vertex?)
What should I do to realize the calculation of this kind of vertex?

(I know I should use a auxiliary field to deal with 4-feimi operator.)

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Alexander Pukhov (pukhov) said :
#1

Do you mean F_munu F_munu t t_bar?
Best
    Alexander Pukhov

On 06/29/2016 08:43 AM, starterism wrote:
> New question #295756 on CalcHEP:
> https://answers.launchpad.net/calchep/+question/295756
>
> My BSM model can generate a four-point ggttbar vertex. it seems calchep can't calculate this kind of vertex ( just like 4-feimi vertex?)
> What should I do to realize the calculation of this kind of vertex?
>
> (I know I should use a auxiliary field to deal with 4-feimi operator.)
>

Revision history for this message
starterism (phywxh) said :
#2

no, I mean F_munu t t_bar. (There are f^abc g^b_mu g^c_nu term in F_munu, and this term generate the 4-point vertex )

Best

Xiaohu Wang

Revision history for this message
starterism (phywxh) said :
#3

You can find the complete dimension 6 operate O_tG at page 11 of arXiv:1008.3869

This operate can generate the vertex I've mentioned above. It seems that Calchep can't deal with this kind of vertex.

Best

Xiaohu Wang

Revision history for this message
Alexander Pukhov (pukhov) said :
#4

Show me, please, a vertex which can not be realized in CalCHEP.
Usually LanHEP solves the problem of vertex generation. If not, I
can show you how it can be done by hand.
But I have not time to write full list of operators presented in some
paper.
In general auxillary fields with point-like propagators are used to
generate complex vertex.
Best
    Alexander Pukhov

On 06/30/2016 08:12 AM, starterism wrote:
> Question #295756 on CalcHEP changed:
> https://answers.launchpad.net/calchep/+question/295756
>
> starterism posted a new comment:
> You can find the complete dimension 6 operate O_tG at page 11 of
> arXiv:1008.3869
>
> This operate can generate the vertex I've mentioned above. It seems that
> Calchep can't deal with this kind of vertex.
>
> Best
>
> Xiaohu Wang
>

Revision history for this message
starterism (phywxh) said :
#5

The vertex is
        t tbar sigma^{munu} lambda^A f^{ABC} G^B_mu G^C_nu

It can be generated but uncalculated.

Best

Xiaohu Wang

Revision history for this message
Alexander Pukhov (pukhov) said :
#6

You can write in LanHEP model file

parameter Lambd=1.

lterm
Lambd*i*T*gamma^mu*gamma^nu*lambda^a*t*(deriv^mu*G^nu^a-deriv^nu*G^mu^a+i*GG*f_SU3^a^b^c*G^mu^b*G^nu^c).

Then LanHEP generates T*t*G vertex

T |t |G | |Lambd |G(p3)*G(m3)-G(m3)*G(p3)

One auxiliary vector particle will be added to particle list:

GGTt |~00|~01| |2 |Maux|0 |8 |!* |

GGTt.t is a special object with 2 indexes whose propagator is a
product of 2/**/**Kronecker deltas./*
*/It allows to construct the TtGG vertex

G |G |~01.t| |1 |m1.m3*m2.M3-m1.M3*m2.m3
T |t |~00.t| |GG*Lambd |G(M3)*G(m3)

The exclamation mark in GGTt specification means that each component
of GGTt is self-conjugated. So

T |t |~01.t
and
G |G |~00.t

are not requested by CalcHEP

Best
    Alexander Pukhov

On 06/29/2016 03:17 PM, starterism wrote:
> Question #295756 on CalcHEP changed:
> https://answers.launchpad.net/calchep/+question/295756
>
> Status: Answered => Open
>
> starterism is still having a problem:
> no, I mean F_munu t t_bar. (There are f^abc g^b_mu g^c_nu term in
> F_munu, and this term generate the 4-point vertex )
>
> Best
>
> Xiaohu Wang
>

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