Standard Model + ATGC¶
This model implements the Standard Model (SM) with the SM QCD sector renormalized and including anomalous triple gauge boson couplings in terms of the effective action [CDL18]:
The fields correspond to the ones in the SM.
Parameters and power-counting¶
Besides the usual power-counting Wilson coefficients carry the power \(\mathrm{LAM}\) (similar to \(\mathrm{QED}\), \(\mathrm{QCD}\)) corresponding to \(\Lambda^{-2}\). For the dimension 6 operators the following parameters can be set
Parameter |
Recola identifier |
Operator |
Order |
---|---|---|---|
\(c_{WWW}/\Lambda^2\) |
|
\(-\frac{g_\mathrm{W}^3}{4} \epsilon_{ijk} W^i_{\mu\nu}W^{\nu\rho\;j}W_\rho^{\;\mu\;k}\) |
\(\mathrm{LAM}^1\) |
\(c_{W}/\Lambda^2\) |
|
\(-\mathrm{i}g_\mathrm{W} \left(D_\mu \Phi\right)^\dagger \frac{\tau_k}{2} W^{\mu\nu\;k} \left(D_\nu \Phi\right)\) |
\(\mathrm{LAM}^1\) |
\(c_{B}/\Lambda^2\) |
|
\(+\mathrm{i}\frac{g_1}{2} \left(D_\mu \Phi\right)^\dagger B^{\mu\nu} \left(D_\nu \Phi\right)\) |
\(\mathrm{LAM}^1\) |
\(c_{\tilde WWW}/\Lambda^2\) |
|
\(+\frac{g_\mathrm{W}^3}{4} \epsilon_{ijk} \tilde W^i_{\mu\nu}W^{\nu\rho\;j}W_\rho^{\;\mu\;k}\) |
\(\mathrm{LAM}^1\) |
\(c_{\tilde W}/\Lambda^2\) |
|
\(+\mathrm{i}g_\mathrm{W} \left(D_\mu \Phi\right)^\dagger \frac{\tau_k}{2} \tilde W^{\mu\nu\;k} \left(D_\nu \Phi\right)\) |
\(\mathrm{LAM}^1\) |
For the neutral sector the following Wilson coefficients associated to dimension 8 operators can be set
Parameter |
Recola identifier |
Operator |
Order |
---|---|---|---|
\(c_{BW}/\Lambda^4\) |
|
\(-\mathrm{i} \Phi^\dagger B_{\mu\nu} \frac{\tau_i}{2} W^{\mu\rho\;i} \left\{D_\rho, D^\nu\right\}\Phi + \mathrm{h.c.}\) |
\(\mathrm{LAM}^2\) |
\(c_{WW}/\Lambda^4\) |
|
\(\mathrm{i} \Phi^\dagger \frac{\tau_i}{2} \frac{\tau_j}{2} W^{i}_{\mu\nu} W^{\mu\rho\;j} \left\{D_\rho, D^\nu\right\}\Phi + \mathrm{h.c.}\) |
\(\mathrm{LAM}^2\) |
\(c_{BB}/\Lambda^4\) |
|
\(\mathrm{i} \Phi^\dagger B_{\mu\nu} B^{\mu\rho} \left\{D_\rho, D^\nu\right\}\Phi + \mathrm{h.c.}\) |
\(\mathrm{LAM}^2\) |
\(c_{\tilde BW}/\Lambda^4\) |
|
\(-\mathrm{i} \Phi^\dagger \tilde B_{\mu\nu} \frac{\tau_i}{2} W^{\mu\rho\;i} \left\{D_\rho, D^\nu\right\}\Phi + \mathrm{h.c.}\) |
\(\mathrm{LAM}^2\) |
The user has to make sure that no corrections other than pure QCD ones are
selected. An example for diboson production is given below. See
agc_test.py
under `tests for a more complete example.
Snippet code¶
from pyrecola import *
set_output_file_rcl('*')
set_print_level_squared_amplitude_rcl(2)
define_process_rcl(1,'u u~ -> Z Z ','NLO')
unselect_all_powers_LoopAmpl_rcl(1)
unselect_all_powers_BornAmpl_rcl(1)
select_power_BornAmpl_rcl(1, 'QCD', 0)
select_power_BornAmpl_rcl(1, 'QED', 2)
select_power_BornAmpl_rcl(1, 'LAM', 0)
select_power_BornAmpl_rcl(1, 'LAM', 1)
select_power_BornAmpl_rcl(1, 'LAM', 2)
select_power_LoopAmpl_rcl(1, 'QCD', 2)
select_power_LoopAmpl_rcl(1, 'QED', 2)
select_power_LoopAmpl_rcl(1, 'LAM', 0)
select_power_LoopAmpl_rcl(1, 'LAM', 1)
select_power_LoopAmpl_rcl(1, 'LAM', 2)
generate_processes_rcl()
s = 1000.
p1 = [s / 2, 0., 0., s / 2]
p2 = [s / 2, 0., 0., - s / 2]
psp = set_outgoing_momenta_rcl(1, [p1, p2])
compute_process_rcl(1, psp, 'NLO')
reset_recola_rcl()
Releases¶
UFO model files¶
References
- CDL18
Mauro Chiesa, Ansgar Denner, and Jean-Nicolas Lang. Anomalous triple-gauge-boson interactions in vector-boson pair production with RECOLA2. Eur. Phys. J., C78(6):467, 2018. arXiv:1804.01477, doi:10.1140/epjc/s10052-018-5949-z.