Abstract

We study the potential of future Electron-Ion Collider (EIC) data to probe four-fermion operators in the Standard Model Effective Field Theory (SMEFT). The ability to perform measurements with both polarized electron and proton beams at the EIC provides a powerful tool that can disentangle the effects from different SMEFT operators. We compare the potential constraints from an EIC with those obtained from Drell-Yan data at the Large Hadron Collider. We show that EIC data plays an important complementary role since it probes combinations of Wilson coefficients not accessible through available Drell-Yan measurements.

Highlights

  • The Standard Model (SM) of particle physics has so far been successful in describing all observed laboratory phenomena

  • The fact that seven Wilson coefficients contribute to the SM effective field theory (SMEFT) correction but fewer kinematic combinations appear in the matrix elements implies that only certain combinations of Wilson coefficients can be probed with Drell-Yan measurements, a point already made in previous work [25]

  • In order to compare the sensitivities of the electron-ion collider (EIC) and the Large Hadron Collider (LHC) to four-fermion Wilson coefficients in the SMEFT, and in particular to study the ability of the EIC to break the degeneracies present with only Drell-Yan measurements, we consider fits to the data for the four scenarios defined above

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Summary

INTRODUCTION

The Standard Model (SM) of particle physics has so far been successful in describing all observed laboratory phenomena. Dimension-8 and beyond [16,17,18,19,20], and the estimation of theoretical errors [21] Another issue that arises in global fits to the SMEFT parameter space is the appearance of flat directions that occur when the available experimental measurements cannot disentangle the contributions from different Wilson coefficients. (ii) We review the contributions of dimension-6 SMEFT operators to neutral-current Drell-Yan at the LHC and analytically demonstrate the appearance of approximate flat directions in the space of Wilson coefficients. We study neutral-current Drell-Yan production of lepton pairs at the LHC in Sec. V, where we demonstrate the appearance of flat directions in the space of Wilson coefficients.

REVIEW OF THE SMEFT
REVIEW OF DIS FORMALISM
PHENOMENOLOGY OF DIS AT THE EIC
Standard Model contributions
SMEFT contributions
NEUTRAL-CURRENT DRELL-YAN IN THE SMEFT
Review of Drell-Yan formulas
Flat directions in Drell-Yan
FITS TO DRELL-YAN AND DIS DATA
Case 1
Case 2
Case 3
Effects of parameter choices on EIC fits
Findings
CONCLUSIONS
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