A Subleading Power Operator Basis for the Scalar Quark Current

Abstract

Factorization theorems play a crucial role in our understanding of the strong interaction. For collider processes they are typically formulated at leading power and much less is known about power corrections in the $\lambda \ll 1$ expansion. Here we present a complete basis of power suppressed operators for a scalar quark current at $\mathcal{O}({\lambda }^2)$ in the amplitude level power expansion in the Soft Collinear Effective Theory, demonstrating that helicity selection rules significantly simplify the construction. This basis applies for the production of any color singlet scalar in $q\bar{q}$ annihilation (such as $b\bar{b}\to H$). We also classify all operators which contribute to the cross section at $\mathcal{O}({\lambda }^2)$ and perform matching calculations to determine their tree level Wilson coefficients. These results can be exploited to study power corrections in both resummed and fixed order perturbation theory, and for analyzing the factorization properties of gauge theory amplitudes and cross sections at subleading power.

41 pages + Appendices. 3 tables. v2: text changes. arXiv admin note: text overlap with arXiv:1703.03408

References in corpus (17)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• ZZ production at hadron colliders in NNLO QCD
• $W^{+}{W}^{-}$ production at hadron colliders in NNLO QCD
• Fully differential NNLO computations with MATRIX
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Glauber Gluons and Multiple Parton Interactions
• Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• Reparameterization Invariant Collinear Operators
• Wgamma and Zgamma production at the LHC in NNLO QCD
• Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
• Renormalization of Dijet Operators at Order $1/Q^2$ in Soft-Collinear Effective Theory
• Subleading Jet Functions in Inclusive B Decays
• Subleading Corrections To Thrust Using Effective Field Theory

Cited by in corpus (26)

• 50 Years of Quantum Chromodynamics
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• Transverse momentum dependent PDFs at N${}^3$LO
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• First Subleading Power Resummation for Event Shapes
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Subleading Power Factorization with Radiative Functions
• The Soft Quark Sudakov
• TMD Fragmentation Functions at N${}^3$LO
• Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• On next-to-leading power threshold corrections in Drell-Yan production at N${}^3$LO
• N-jettiness beam functions at N3LO
• Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets
• Towards all-order factorization of QED amplitudes at next-to-leading power
• Next-to-leading power threshold effects for resummed prompt photon production
• Helicity Methods for High Multiplicity Subleading Soft and Collinear Limits
• Muon-electron backward scattering: a prime example for endpoint singularities in SCET
• Collinear expansion for color singlet cross sections
• Threshold resummation of new partonic channels at next-to-leading power
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Higher Twists
• On the gauge-invariance of SCET beyond leading power
• Double soft graviton factors from the gravitational Wilson line