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Estimating power corrections for the Drell-Yan Process

Ekta Chaubey, Pooja Mukherjee

TL;DR

This work estimates heavy-quark mass power corrections in Drell-Yan processes (NC and CC) within a massive variable-flavor-number framework (MVFNS). It combines massless $n_f=5$ predictions with massive corrections by decomposing into massless, massive-log, and power-suppressed terms using decoupling relations and operator-matrix elements to ensure consistent matching. The results show sizable power corrections for NCDY in the low-$Q$ region, up to $2.5$–$5\%$ for $Q \in [4,30]$ GeV, while CCDY corrections are tiny (around $0.006\%$) for $Q \in [50,150]$ GeV, with the 3FS typically dominating over 4FS in this regime; corrections vanish as $m_Q \to 0$, validating the matching scheme. Overall, the paper provides a robust framework for incorporating heavy-quark mass effects into DY predictions, improving precision for PDF determinations and collider phenomenology.

Abstract

We study power corrections in the Drell-Yan (DY) process using state-of-the-art predictions for both neutral and charged current production. For both types of DY processes, we account for power corrections arising from bottom and charm quark effects within a variable flavor number scheme. Our results show that these corrections become significant in the low-$Q$ region. We also ensure proper treatment of overlapping contributions by carefully applying matching procedures to eliminate any double counting.

Estimating power corrections for the Drell-Yan Process

TL;DR

This work estimates heavy-quark mass power corrections in Drell-Yan processes (NC and CC) within a massive variable-flavor-number framework (MVFNS). It combines massless predictions with massive corrections by decomposing into massless, massive-log, and power-suppressed terms using decoupling relations and operator-matrix elements to ensure consistent matching. The results show sizable power corrections for NCDY in the low- region, up to – for GeV, while CCDY corrections are tiny (around ) for GeV, with the 3FS typically dominating over 4FS in this regime; corrections vanish as , validating the matching scheme. Overall, the paper provides a robust framework for incorporating heavy-quark mass effects into DY predictions, improving precision for PDF determinations and collider phenomenology.

Abstract

We study power corrections in the Drell-Yan (DY) process using state-of-the-art predictions for both neutral and charged current production. For both types of DY processes, we account for power corrections arising from bottom and charm quark effects within a variable flavor number scheme. Our results show that these corrections become significant in the low- region. We also ensure proper treatment of overlapping contributions by carefully applying matching procedures to eliminate any double counting.
Paper Structure (6 sections, 14 equations, 3 figures, 2 tables)

This paper contains 6 sections, 14 equations, 3 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Theoretical Setup
  3. The Matching Procedure for Drell-Yan Process
  4. Estimating the Mass Corrections in DY
  5. Results
  6. Conclusion

Figures (3)

  • Figure 1: Power-corrections to the CCDY process up to NLO accuracy for the $Q$-bin (50 GeV, 150 GeV). The bands represent the 7-point variation of $\mu_R$ and $\mu_F$ around the central (dynamic) scale $\mu_R=\mu_F=Q$. We observe that the power corrections vanish in the limit $m_Q \rightarrow 0$.
  • Figure 2: Massive power-corrections to the NCDY cross-section in the $Q \in [80, 105]$ GeV. The bands represent the 7-point variation of $\mu_R$ and $\mu_F$ around the central (dynamic) scale $\mu_R=\mu_F=Q$. We observe that the power corrections vanish in the limit $m_Q \rightarrow 0$.
  • Figure 3: The plot shows the impact of the power corrections on the invariant-mass distribution of the NCDY process. The cross sections are obtained with MSHTnnlo_as118 PDF set.