Inclusive Charmed-Meson Production at the CERN LHC (1202.0439v1)

Abstract: We present predictions for the inclusive production of charmed hadrons at the CERN LHC in the general-mass variable-flavor-number scheme at next-to-leading order. Detailed numerical results are compared to data where available, or presented in a way to ease future comparisons with experimental results. We also point out that measurements at large rapidity have the potential to pin down models of intrinsic charm.

Analysis of Inclusive Charmed-Meson Production at the CERN LHC

The paper by Kniehl et al. presents a detailed examination of inclusive charmed-meson production at the CERN Large Hadron Collider (LHC) utilizing the General-Mass Variable-Flavor-Number Scheme (GM-VFNS) at next-to-leading order (NLO). The authors aim to provide theoretical predictions that can effectively be compared with emerging experimental data from collaborations like ALICE, ATLAS, and LHCb at the LHC. The research explores the intricate dynamics of QCD and heavy-quark production, highlighting the importance of understanding these processes for both standard model tests and new physics searches.

Theoretical Framework and Approach

The research is anchored in the GM-VFNS, a methodology that combines the strengths of both the Fixed-Flavor-Number Scheme (FFNS) and the Zero-Mass Variable-Flavor-Number Scheme (ZM-VFNS). This hybrid approach addresses the computational challenge posed by the heavy-quark mass scale and large transverse momentum, $p_T$, of the produced mesons. The GM-VFNS effectively resums large logarithms $\ln(p_T^2/m^2)$ by employing parton distribution functions (PDFs) and fragmentation functions (FFs), allowing the inclusion of heavy quarks as active flavors when $p_T \gg m$.

Numerical Results

Predictions for differential cross sections $d\sigma/dp_T$ and $d\sigma/dy$ are presented for $D$ mesons in various rapidity and transverse momentum bins. The authors utilize a range of PDFs, including CTEQ6.6, MSTW08, and others, to assess uncertainties. They conclude that theoretical predictions align well with the ALICE data at $\sqrt{s}=7$ TeV, especially when factorization scale parameters are appropriately tuned. At low $p_T$, however, scale uncertainties remain significant, indicating the persistent need for careful adjustments in theoretical models.

Implications and Future Directions

The paper identifies that measurements at large rapidities have the potential to constrain models of intrinsic charm within the proton. The paper uses various intrinsic charm models to highlight possible enhancements in charmed-meson production, which could provide pivotal insights into the charm content of protons. Anticipation is placed on the LHCb collaboration's ability to utilize these regions of parameter space to differentiate between competing models, potentially leading to more precise characterizations of parton distributions in protons.

Future endeavors will likely focus on refining FFs in light of the different $m$ values used across PDFs and FFs fits, ensuring greater consistency across theoretical predictions. Moreover, addressing the matching between GM-VFNS and FFNS at low $p_T$ is indicated as a necessary step for improving the reliability of cross-section predictions in thresholds regions.

Conclusion

The paper by Kniehl et al. provides a comprehensive look into charmed-meson production at the LHC, offering a robust theoretical framework that aligns well with current experimental data. By offering solutions to the challenges posed by heavy-quark masses and $p_T$ scaling, and by identifying regions where data can significantly inform theoretical models, this paper contributes meaningfully to our understanding of QCD phenomena at high energies. It sets a solid groundwork for future experimental and theoretical explorations, particularly in constraining intrinsic charm models and adjusting fragmentation functions to better represent experimental realities.