Factorization and resummation for transverse thrust

Becher, Thomas; Tormo, Xavier Garcia i

doi:10.1007/jhep06(2015)071

Cited by 22 publications

(27 citation statements)

References 97 publications

(171 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An important aspect in the description of event shapes is the resummation of singular terms in kinematic limits. For hadron collider event shapes, NNLL resummation has been achieved for zero-jet [9][10][11] and one-jet event shapes [12]. However, many interesting effects, namely non-trivial color evolution and amplitude level factorization violation, first occur for dijet event shapes, for which complete results are only available at NLL [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit

Gao

Moult

et al. 2019

Phys. Rev. Lett.

View full text Add to dashboard Cite

We present an operator based factorization formula for the transverse energy-energy correlator (TEEC) hadron collider event shape in the back-to-back (dijet) limit. This factorization formula exhibits a remarkably symmetric form, being a projection onto a scattering plane of a more standard transverse momentum dependent factorization. Soft radiation is incorporated through a dijet soft function, which can be elegantly obtained to next-to-next-to-leading order (NNLO) due to the symmetries of the problem. We present numerical results for the TEEC resummed to next-to-nextto-leading logarithm (NNLL) matched to fixed order at the LHC. Our results constitute the first NNLL resummation for a dijet event shape observable at a hadron collider, and the first analytic result for a hadron collider dijet soft function at NNLO. We anticipate that the theoretical simplicity of the TEEC observable will make it indispensable for precision studies of QCD at the LHC, and as a playground for theoretical studies of factorization and its violation.

show abstract

Section: Introductionmentioning

confidence: 99%

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit

Gao

Moult

et al. 2019

Phys. Rev. Lett.

View full text Add to dashboard Cite

show abstract

“…We finally consider the soft function for the hadronic event shape transverse thrust [63]. As this example involves four light-like Wilson lines, the computation of the full NNLO soft function clearly falls outside the scope of the present paper.…”

Section: Transverse Thrustmentioning

confidence: 99%

Generic dijet soft functions at two-loop order: correlated emissions

Bell

Rahn

Talbert

2019

J. High Energ. Phys.

112

View full text Add to dashboard Cite

We present a systematic algorithm for the perturbative computation of soft functions that are defined in terms of two light-like Wilson lines. Our method is based on a universal parametrisation of the phase-space integrals, which we use to isolate the singularities in Laplace space. The observable-dependent integrations can then be performed numerically, and they are implemented in the new, publicly available package SoftSERVE that we use to derive all of our numerical results. Our algorithm applies to both SCET-1 and SCET-2 soft functions, and in the current version it can be used to compute two out of three NNLO colour structures associated with the so-called correlated-emission contribution. We confirm existing two-loop results for about a dozen e + e − and hadron-collider soft functions, and we obtain new predictions for the C-parameter as well as thrust-axis and broadening-axis angularities.

show abstract

“…This is referred to as the collinear anomaly by the authors of [9] 5 . By refactorizing out the collinear anomaly, the product of beam and soft function can be written as [78]…”

Section: Soft Function Beam Function and Collinear Anomalymentioning

confidence: 99%

Resummation of boson-jet correlation at hadron colliders

Chien

Shao

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We perform a precise calculation of the transverse momentum ( q T ) distribution of the boson+jet system in boson production events. The boson can be either a photon, W , Z or Higgs boson with mass m V , and q T is the sum of the transverse momenta of the boson and the leading jet with magnitude q T = | q T |. Using renormalization group techniques and soft-collinear effective theory, we resum logarithms log(Q/q T ) and log R at next-to-leading logarithmic accuracy including the non-global logarithms, where Q and R are respectively the hard scattering energy and the radius of the jet. Specifically, we investigate two scenarios of p J T m V or p J T m V in Z+jet events, and we examine the q T distributions with different jet radii and study the effect of non-global logarithms. In the end we compare our theoretical calculations with Monte Carlo simulations and data from the LHC. A The Hard Function at LO 26 B Anomalous Dimensions 27 C LO singular terms 28-1 -1 Recently, much progress was made in the study of NGL resummation [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44].where we have neglected the dependence of the jet function on n 1 · x and n 2 · x, which will be justified in the next subsection. Likewise, P α J α J n J is the projector defined as expanding the integrand around p 2 J = 0 in (2.17) gives ∞ 0 dp 2 J δ(n J · p J − m i=1 n J · p J i ) =n J · p J .(2.20)

show abstract

Factorization and resummation for transverse thrust

Cited by 22 publications

References 97 publications

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit

Generic dijet soft functions at two-loop order: correlated emissions

Resummation of boson-jet correlation at hadron colliders

Contact Info

Product

Resources

About