Diffractive $\rho$ and $\varphi$ production at HERA using a holographic AdS/QCD light-front meson wave function

We use an anti–de Sitter/quantum chromodynamics holographic light-front wave function for the $\rho$ and $\varphi$ mesons, in conjunction with the color glass condensate dipole cross section whose parameters are fitted to the most recent 2015 high precision HERA data on inclusive deep inelastic scattering, in order to predict the cross sections for diffractive $\rho$ and $\varphi$ electroproduction. Our results suggest that the holographic meson light-front wave function is able to give a simultaneous description of $\rho$ and $\varphi$ production data provided we use a set of light quark masses with $m_{u,d}<m_s\approx 0.14\mathrm{GeV}$.

Figure 1

The variation of the vector and tensor couplings with the quark mass. Blue solid curve: $f_{\rho }$. Red dash-dotted curve: $f_{\varphi }$. Blue dashed curve: $f_{\rho }^T$ at $\mu \sim 1\mathrm{GeV}$. Red dotted curve: $f_{\varphi }^T$ at $\mu \sim 1\mathrm{GeV}$.

Figure 2

Predictions for $\rho$ production cross section as a function of $W$ in different $Q^2$ bins compared to H1 data [5, 8] and ZEUS data (at $Q^2=0$) [6]. Black solid curves: Fit A. Orange dotted curves: Fit B. Blue dashed curves: Fit C.

Figure 3

Predictions for $\rho$ production cross section as a function of $W$ in different $Q^2$ bins compared to ZEUS data [8]. Black solid curves: Fit A. Orange dotted curves: Fit B. Blue dashed curves: Fit C.

Figure 4

Predictions for $\rho$ production cross section as a function of $Q^2$ at $W=75\mathrm{GeV}$, compared to HERA data [8]. Black solid curve: Fit A. Orange dotted curve: Fit B. Blue dashed curve: Fit C.

Figure 5

Predictions for the $\rho$ production longitudinal to transverse cross-section ratio in $\rho$ production as a function of $Q^2$ at $W=75\mathrm{GeV}$ compared to the H1 data (at $W=75\mathrm{GeV}$) [4, 8] and ZEUS data (at $W=90\mathrm{GeV}$) [9]. Black solid curve: Fit A. Orange dotted curve: Fit B. Blue dashed curve: Fit C.

Figure 6

Predictions for the $\varphi$ production total cross section for $W=90\mathrm{GeV}$ as a function of $Q^2$ compared to HERA data [7, 8]. Black solid curve: Fit A. Orange dotted curve: Fit B. Blue dashed curve: Fit C.

Figure 7

Our predictions for $\varphi$ production total cross section for ${\gamma }^{*}p\to \varphi p$ as a function of $W$ in different $Q^2$ bins compared to the ZEUS data [7]. Black solid curves: Fit A. Orange dotted curves: Fit B. Blue dashed curves: Fit C.

Figure 8

Our predictions for the $\varphi$ production total cross section as a function of $W$ in different $Q^2$ bins compared to the H1 data [8]. Black solid curves: Fit A. Orange dotted curves: Fit B. Blue dashed curves: Fit C.

Figure 9

Our predictions for the $\varphi$ production longitudinal to transverse cross-section ratio at $W=90\mathrm{GeV}$ compared to the ZEUS data [7]. Black solid curve: Fit A. Red dotted curve: Fit B. Blue dashed curve: Fit C.

Figure 10

Our predictions for the ratio of the total cross sections for $\varphi$ and $\rho$ production at $W=75\mathrm{GeV}$ compared to the H1 data [8]. Black solid curve: Fit A. Red dotted curve: Fit B. Blue dashed curve: Fit C.