KK MC 4.22: Coherent exclusive exponentiation of electroweak corrections for $f\overline{f}\to f^{\prime }{\overline{f}}^{\prime }$ at the LHC and muon colliders

We present the upgrade of the coherent exclusive exponentiation realization of the Yennie-Frautschi-Suura theory used in our Monte Carlo ($\mathcal{K}\mathcal{K}$ MC) to the processes $f\overline{f}\to f^{\prime }{\overline{f}}^{\prime }$, $f=\mu$, $\tau$, $q$, ${\nu }_{\ell }$, $f^{\prime }=e$, $\mu$, $\tau$, $q$, ${\nu }_{\ell }$, $q=u$, $d$, $s$, $c$, $b$, $t$, $\ell =e$, $\mu$, $\tau$ with $f\ne f^{\prime }$, with an eye toward the precision physics of the LHC and possible high energy muon colliders. We give a brief summary of the coherent exclusive exponentiation theory in comparison to the older exclusive exponentiation theory and illustrate theoretical results relevant to the LHC and possible muon collider physics programs.

Figure 1

Principal cross-checks of $\mathcal{K}\mathcal{K}MC$ for $e^{-}{e}^{+}\to {\mu }^{-}{\mu }^{+}+n\gamma$ process at $\sqrt{s}=189\mathrm{GeV}$.

Figure 2

Total cross section $\sigma$, energy cutoff study. The same results as in Table . Reference ${\sigma }_{\mathrm{ref}}=\mathrm{\text{semianalytical of}}\mathcal{K}\mathcal{K}\mathrm{sem}$.

Figure 3

Energy cutoff study of charge asymmetry $A_{\mathrm{FB}}$ for the process $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$. The same results as in Table . Reference $A_{\mathrm{FB}}^{\mathrm{ref}}=\mathrm{\text{semianalytical}}\mathcal{K}\mathcal{K}\mathrm{sem}$.

Figure 4

Physical precision of CEEX ISR matrix element for $e^{-}{e}^{+}\to {\mu }^{-}{\mu }^{+}$ at $\sqrt{s}=189\mathrm{GeV}$. See Table  for definition of cutoffs.

Figure 5

Energy cutoff study of total cross section for $d\overline{d}\to {\mu }^{-}{\mu }^{+}$, at 189 GeV. The same as in Table . ${\sigma }_{\mathrm{ref}}=\mathrm{\text{semianalytical of}}\mathcal{K}\mathcal{K}\mathrm{sem}$.

Figure 6

Energy cutoff study of charge asymmetry $A_{\mathrm{FB}}$ for the process $d\overline{d}\to {\mu }^{-}{\mu }^{+}$, at 189 GeV. Reference $A_{\mathrm{FB}}^{\mathrm{ref}}$ from semianalytical $\mathcal{K}\mathcal{K}\mathrm{sem}$.

Figure 7

Physical precision of CEEX ISR matrix element for $d\overline{d}\to {\mu }^{-}{\mu }^{+}$ at $\sqrt{s}=189\mathrm{GeV}$. See Table  for definition of cutoffs.

Figure 8

Total cross section $\sigma$, energy cutoff study for the process $u\overline{u}\to {\mu }^{+}{\mu }^{-}$. The same as in the Table . No cut in ${\theta }^{•}$. Reference ${\sigma }_{\mathrm{ref}}=\mathrm{\text{semianalytical of}}\mathcal{K}\mathcal{K}\mathrm{sem}$.

Figure 9

Charge asymmetry $A_{\mathrm{FB}}$, energy cutoff study for the process $u\overline{u}\to {\mu }^{+}{\mu }^{-}$. The same as in Table . No cut in ${\theta }^{•}$.

Figure 10

Physical precision of CEEX ISR matrix element for $u\overline{u}\to {\mu }^{-}{\mu }^{+}$ at $\sqrt{s}=189\mathrm{GeV}$. See Table  for definition of cutoffs.

Figure 11

Total cross section $\sigma$, energy cutoff study for the process $d\overline{d}\to {\mu }^{-}{\mu }^{+}$ at the $Z$. Results the same as in Table .

Figure 12

Charge asymmetry $A_{\mathrm{FB}}$, energy cutoff study for the process $d\overline{d}\to {\mu }^{-}{\mu }^{+}$ at the $Z$. Results the same as in Table .

Figure 13

Physical precision of CEEX ISR matrix element for $d\overline{d}\to {\mu }^{-}{\mu }^{+}$ at $\sqrt{s}=91.187\mathrm{GeV}$. See Table  for definition of cutoffs.

Figure 14

Total cross section $\sigma$, energy cutoff study for the process $u\overline{u}\to {\mu }^{+}{\mu }^{-}$ at the $Z$ peak. Results the same as in Table .

Figure 15

Charge asymmetry $A_{\mathrm{FB}}$, energy cutoff study for the process $u\overline{u}\to {\mu }^{-}{\mu }^{+}$ at the $Z$. Results the same as in Table .

Figure 16

Physical precision of CEEX ISR matrix element for $u\overline{u}\to {\mu }^{-}{\mu }^{+}$ at $\sqrt{s}=91.187\mathrm{GeV}(Z\mathrm{\text{peak}})$. See Table  for definition of cutoffs.

Figure 17

Energy cutoff study of total cross section for ${\mu }^{-}{\mu }^{+}\to e^{-}{e}^{+}$ at energy 189 GeV. The same results as in Table .

Figure 18

Energy cutoff study of total charge asymmetry for ${\mu }^{-}{\mu }^{+}\to e^{-}{e}^{+}$ at energy 189 GeV. The same results as in Table .

Figure 19

Physical precision of CEEX ISR matrix element for ${\mu }^{-}{\mu }^{+}\to e^{-}{e}^{+}$ at $\sqrt{s}=189\mathrm{GeV}$. See Table  for definition of cut-offs.