Specific supersimple properties of $e^{-}{e}^{+}\to \gamma H$ at high energy

We study the process $e^{-}{e}^{+}\to \gamma H$, where $H$ represents $H_{\mathrm{SM}}$, $h^0$, or $H^0$. This process occurs at the one loop level in the standard model or in the minimal supersymmetric standard model (MSSM). We establish supersimple (sim) high energy expressions for all helicity amplitudes of this process, and we identify their level of accuracy for describing the various polarized and unpolarized observables, and for distinguishing SM from MSSM or another beyond the standard model. We pay special attention to transverse $e^{\mp }$ polarization and azimuthal dependencies induced by the imaginary parts of the amplitudes, which are relatively important in this process.

Figure 1

The $F_{--}$ (left panels) and $F_{++}$ (right panels) amplitudes in SM. Upper row gives the energy dependence at 60°, while the middle (lower) row gives the angular dependence at 1 (5) TeV. The $W$ eff and $B$ eff couplings of the BSM model are defined in (17), (18).

Figure 2

The $F_{-+}$ (left panels) and $F_{+-}$ (right panels) amplitudes in SM. Panels and BSM couplings as in Fig. 1.

Figure 3

The $F_{--}$ (left panels) and $F_{++}$ (right panels) amplitudes for $h^0$ in S1 MSSM; see (38). Panels as in Fig. 1.

Figure 4

The $F_{-+}$ (left panels) and $F_{+-}$ (right panels) amplitudes for $h^0$ in S1 MSSM; see (38). Panels as in Fig. 1.

Figure 5

Cross sections for SM (left panels) and for $h^0$ in S1 MSSM (right panels). BSM and MSSM parameters as in previous figures.

Figure 6

$A_{LR}$ without looking at photon polarization, for SM (left panels) and for $h^0$ in S1 MSSM (right panels). BSM and MSSM parameters as in previous figures.

Figure 7

$A_{LR}$ for a photon with helicity $\tau =+1$, for SM (left panels) and for $h^0$ in S1 MSSM (right panels). BSM and MSSM parameters as in previous figures.

Figure 8

$A_{LR}$ for a photon with helicity $\tau =-1$, for SM (left panels) and for $h^0$ in S1 MSSM (right panels). BSM and MSSM parameters as in previous figures.

Figure 9

$A^{\text{pol}\gamma }$ defined in (23) for unpolarized $e^{\mp }$, for SM (left panels) and for $h^0$ in S1 MSSM (right panels). BSM and MSSM parameters as in previous figures.

Figure 10

$A^{\text{pol}\gamma }$ defined in (24) for $e_L$ and $e_R$ beams, in SM (left panels) and in S1 MSSM for $h^0$ (right panels). BSM and MSSM parameters as in previous figures.

Figure 11

The coefficients $T_{\cos 2\varphi }$, $T_{\sin 2\varphi }$ defined in (37) for SM (left panels) and for $h^0$ in S1 MSSM (right panels). BSM and MSSM parameters as in previous figures.