# Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N} $$ = 4 SYM

@article{Moult2019SubleadingPR, title={Subleading power resummation of rapidity logarithms: the energy-energy correlator in \$\$ \mathcal\{N\} \$\$ = 4 SYM}, author={Ian Moult and Gherardo Vita and K. Yan}, journal={arXiv: High Energy Physics - Phenomenology}, year={2019} }

We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which we term the "rapidity identity operators", that will generically appear at subleading power in problems involving both rapidity and virtuality scales. To illustrate our formalism, we analytically solve these equations to resum the power suppressed logarithms appearing in the back-to-back (double…

## 16 Citations

Factorization at Subleading Power and Endpoint Divergences in $h\to\gamma\gamma$ Decay: II. Renormalization and Scale Evolution

- Mathematics
- 2020

Building on the recent derivation of a bare factorization theorem for the $b$-quark induced contribution to the $h\to\gamma\gamma$ decay amplitude based on soft-collinear effective theory, we derive…

Three point energy correlators in the collinear limit: symmetries, dualities and analytic results

- Physics, Mathematics
- 2019

Energy Correlators measure the energy deposited in multiple detectors as a function of the angles between the detectors. In this paper, we analytically compute the three particle correlator in the…

Rethinking jets with energy correlators: Tracks, resummation, and analytic continuation

- Physics
- 2020

We introduce an infinite set of jet substructure observables, derived as projections of $N$-point energy correlators, that both are convenient for experimental studies and maintain remarkable…

Drell-Yan qT resummation of fiducial power corrections at N3LL

- Physics
- 2020

We consider Drell-Yan production $pp\to V^* X \to L X$ at small $q_T \ll Q$. Experimental measurements require fiducial cuts on the leptonic state $L$, which introduce enhanced, linear power…

Renormalization and scale evolution of the soft-quark soft function

- Physics
- 2020

Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and…

Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO

- Physics
- 2021

In this work we complete the investigation of the recently introduced energy-energy correlation (EEC) function in hadronic Higgs decays at next-to-leading order (NLO) in fixed-order perturbation…

TMD fragmentation functions at N3LO

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. The…

Asymptotic dynamics on the worldline for spinning particles

- Mathematics
- 2020

There has been a renewed interest in the description of dressed asymptotic states a la Faddeev-Kulish. In this regard, a worldline representation for asymptotic states dressed by radiation at…

Collinear expansion for color singlet cross sections

- Physics
- 2020

We demonstrate how to efficiently expand cross sections for color-singlet production at hadron colliders around the kinematic limit of all final state radiation being collinear to one of the incoming…

## References

SHOWING 1-10 OF 165 REFERENCES

First subleading power resummation for event shapes

- Physics
- 2018

A bstractWe derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables τ at subleading…

Subleading power rapidity divergences and power corrections for qT

- PhysicsJournal of High Energy Physics
- 2019

A bstractA number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum (qT)…

Power corrections for N-jettiness subtractions at Oαs$$ \mathcal{O}\left({\alpha}_s\right) $$

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe continue the study of power corrections for N -jettiness subtractions by analytically computing the complete next-to-leading power corrections at Oαs$$ \mathcal{O}\left({\alpha}_s\right)…

A subleading power operator basis for the scalar quark current

- Physics
- 2017

A bstractFactorization 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…

A subleading operator basis and matching for gg → H

- Physics
- 2017

A bstractThe Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well…

Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production

- Physics
- 2018

We present a detailed derivation of the power corrections to the factorization theorem for the 0-jettiness event shape variable $\mathcal{T}$. Our calculation is performed directly in QCD without…

Energy-energy correlation in
N=4
super Yang-Mills theory at next-to-next-to-leading order

- PhysicsPhysical Review D
- 2019

We develop further an approach to computing energy-energy correlations (EEC) directly from finite correlation functions. In this way, one completely avoids infrared divergences. In maximally…

Collinear limit of the energy-energy correlator

- PhysicsPhysical Review D
- 2019

The energy-energy-correlator (EEC) observable in $e^+e^-$ annihilation measures the energy deposited in two detectors as a function of the angle between the detectors. The collinear limit, where the…

Subleading Regge limit from a soft anomalous dimension

- Physics
- 2018

A bstractWilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation,…

Renormalization of dijet operators at order 1/Q2 in soft-collinear effective theory

- Physics
- 2017

A bstractWe make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision fits for the value of the strong…