Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops

Bauer, C.; Manohar, Aneesh V.; Monni, Pier Francesco

doi:10.1007/jhep07(2021)214

Cited by 6 publications

(5 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We also consider the angularities [55] (the corresponding NNLL resummation in the ungroomed case is given in refs. [64,[92][93][94][95]) defined w.r.t. the Winner-Take-All (WTA) axis as…”

Section: Moments Of Eec and Angularities In Groomed Jets At Nnllmentioning

confidence: 99%

Collinear fragmentation at NNLL: generating functionals, groomed correlators and angularities

van Beekveld,

Dasgupta,

El-Menoufi

et al. 2024

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Jet calculus offers a unique mathematical technique to bridge the area of QCD resummation with Monte Carlo parton showers. With the ultimate goal of constructing next-to-next-to-leading logarithmic (NNLL) parton showers we study, using the language of generating functionals, the collinear fragmentation of final-state partons. In particular, we focus on the definition and calculation of the Sudakov form factor, which physically describes the no-emission probability in an ordered branching process. We review recent results for quark jets and compute the Sudakov form factor for the collinear fragmentation of gluon jets at NNLL. The NNLL corrections are encoded in a z dependent two-loop anomalous dimension $$ \mathcal{B} $$ B 2(z), with z being a suitably defined longitudinal momentum fraction. This is obtained from the integration of the relevant 1 → 3 collinear splitting kernels combined with the one-loop corrections to the 1 → 2 counterpart. This work provides the missing ingredients to extend the methods of jet calculus in the collinear limit to NNLL and gives an important element of the next generation of NNLL parton shower algorithms. As an application we derive new NNLL results for both the fractional moments of energy-energy correlation FCx and the angularities λx measured on mMDT/Soft-Drop (β = 0) groomed jets.

show abstract

“…We also consider the angularities [55] (the corresponding NNLL resummation in the ungroomed case is given in refs. [64,[92][93][94][95]) defined w.r.t. the Winner-Take-All (WTA) axis as…”

Section: Moments Of Eec and Angularities In Groomed Jets At Nnllmentioning

confidence: 99%

Collinear fragmentation at NNLL: generating functionals, groomed correlators and angularities

van Beekveld,

Dasgupta,

El-Menoufi

et al. 2024

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…A similar approach for the calculation of two-loop soft functions has been exploited also in refs. [18,40]. Here, for the reference observable we take the transverse momentum of the colour singlet system, which we denote by S ⊥ (p veto T ; µ, ν) (defined in ref.…”

Section: Jhep08(2022)268mentioning

confidence: 99%

The analytic two-loop soft function for leading-jet pT

Abreu

Gaunt

Monni

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We present the calculation of the two-loop soft function for the transverse momentum distribution of the leading jet produced in association with any colour-singlet system (e.g. a Higgs or a Z boson). This constitutes a central ingredient for the resummation of the above distribution as well as the jet-vetoed cross section at the next-to-next-to-next-to-leading logarithmic order, both of which play an important role in the precision physics programme at the Large Hadron Collider. The calculation is performed in soft-collinear effective theory with an appropriate regularisation of the rapidity divergences that occur in the phase-space integrals. We obtain analytic results by employing an exponential regulator and by taking a Laurent expansion in the jet radius R. All expressions are presented as supplementary material attached to this article.

show abstract

“…A similar approach for the calculation of two-loop soft functions has been exploited also in Refs. [18,39]. Here, for the reference observable we take the transverse momentum of the colour singlet system, which we denote by S ⊥ (p veto T , µ, ν) (defined in Ref.…”

Section: The Soft Functionmentioning

confidence: 99%

The analytic two-loop soft function for leading-jet $p_T$

Abreu,

Gaunt,

Monni

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

We present the calculation of the two-loop soft function for the transverse momentum distribution of the leading jet produced in association with any colour-singlet system (e.g. a Higgs or a Z boson). This constitutes a central ingredient for the resummation of the above distribution as well as the jet-vetoed cross section at the next-to-nextto-next-to-leading logarithmic order, both of which play an important role in the precision physics programme at the Large Hadron Collider. The calculation is performed in softcollinear effective theory with an appropriate regularisation of the rapidity divergences that occur in the phase-space integrals. We obtain analytic results by employing an exponential regulator and by taking a Laurent expansion in the jet radius R. All expressions are presented as ancillary files with this article.

show abstract

Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops

Cited by 6 publications

References 63 publications

Collinear fragmentation at NNLL: generating functionals, groomed correlators and angularities

Collinear fragmentation at NNLL: generating functionals, groomed correlators and angularities

The analytic two-loop soft function for leading-jet pT

The analytic two-loop soft function for leading-jet $p_T$

Contact Info

Product

Resources

About