Master integrals for the NNLO virtual corrections to $$ q\overline{q}\to t\overline{t} $$ scattering in QCD: the non-planar graphs

Vita, S. Di; Gehrmann, Thomas; Laporta, S.; Mastrolia, Pierpaolo; Primo, Amedeo; Schubert, Ulrich S.

doi:10.1007/jhep06(2019)117

Cited by 26 publications

(30 citation statements)

References 66 publications

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“…As shown in [55,56], this class of integrals is evaluated more efficiently by both SecDec and FIESTA. Moreover, we compared numerically our solutions for the master integrals with the ones obtained in [29], we found complete agreement.…”

Section: Numerical Chekcssupporting

confidence: 52%

“…Finally, we checked numerically our results against both the numerical codes SecDec and FIESTA, and the expressions obtained by the authors of [29] for a different basis choice of master integrals.…”

Section: Discussionmentioning

confidence: 99%

“…Finally, all the expressions have been checked numerically against the computer programs SecDec [42,43,44,45] and FIESTA [46,47,48], which implement Sector Decomposition. Moreover, we stress that we also compared numerically our solutions against the expressions obtained by S. Di Vita, T. Gehrmann, S. Laporta, P. Mastrolia, A. Primo and U. Schubert [29], who published results for a different choice of basis for the master integrals simultaneously to our work.…”

Section: Introductionmentioning

confidence: 93%

“…where 0 n indicates a list of n weights, all equal to 0. On the other hand, an analytic expression for the coefficients B qq and C qq is not yet available, since they depend on certain Feynman integrals families whose analytic solution have been obtained just recently [24,26,28,29]. In the following we consider two non-planar integral families that contribute to B qq and C qq which have been computed in [28].…”

Section: Notations and Computational Settingmentioning

confidence: 99%

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Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

Becchetti¹,

Bonciani²,

Casconi³

et al. 2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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We present the analytic computation of the master integrals associated to certain two-loop nonplanar topologies, which are needed to complete the evaluation of the last two color coefficients for the top-pair production in the quark-annihilation channel, which are not yet known analytically. The master integrals have been computed exploiting the differential equations method in canonical form. The solution is given as a series expansion in the dimensional regularization parameter through to weight four, the expansion coefficients are given in terms of multiple polylogarithms.

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Section: Numerical Chekcssupporting

confidence: 52%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 93%

Section: Notations and Computational Settingmentioning

confidence: 99%

See 2 more Smart Citations

Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

Becchetti¹,

Bonciani²,

Casconi³

et al. 2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

View full text Add to dashboard Cite

show abstract

“…The complete calculation of the full set of NLO QED and electroweak corrections, with the development of a fully differential fixed order Monte Carlo code, was completed in [19]. The next-to-next-to-leading order (NNLO) QED corrections to μe scattering are under investigation [20][21][22][23][24][25]. The resummation of classes of higher order QED corrections enhanced by large logarithms will be mandatory to match MUonE's extremely high accuracy [8].…”

Section: Sm Cross Section and Experimental Sensitivitymentioning

confidence: 99%

New physics at the MUonE experiment at CERN

2020

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A confirmation of the long-standing muon g − 2 discrepancy requires both experimental and theoretical progress. On the theory side, the hadronic corrections are under close scrutiny, as they induce the leading uncertainty of the Standard Model prediction. Recently, the MUonE experiment has been proposed at CERN to provide a new determination of the leading hadronic contribution to the muon g − 2 via the measurement of the differential cross section of muon-electron scattering. The precision expected at this experiment raises the question whether possible new physics (NP) could affect its measurements. We address this issue studying possible NP signals in muon-electron collisions due to heavy or light mediators, depending on whether their mass is higher or lower than Oð1 GeVÞ. We analyze the former in a modelindependent way via an effective field theory approach, whereas for the latter we focus on scenarios with light scalar and vector bosons. Using existing experimental bounds, we show that possible NP effects in muon-electron collisions are expected to lie below MUonE's sensitivity. This result confirms and reinforces the physics case of the MUonE proposal.

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Projected transverse momentum resummation in top-antitop pair production at LHC

Schoenherr

2023

J. High Energ. Phys.

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The transverse momentum distribution of the $$ t\overline{t} $$ t t ¯ system is of both experimental and theoretical interest. In the presence of azimuthally asymmetric divergences, pursuing resummation at high logarithmic precision is rather demanding in general. In this paper, we propose the projected transverse momentum spectrum $$ \textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}{q}_{\tau } $$ d σ t t ¯ / d q τ , which is derived from the classical $$ {\overrightarrow{q}}_{\textrm{T}} $$ q → T spectrum by integrating out the rejection component $$ {q}_{\tau_{\perp }} $$ q τ ⊥ with respect to a reference unit vector $$ \overrightarrow{\tau} $$ τ → , to serve as an alternative solution to remove these asymmetric divergences, in addition to the azimuthally averaged case $$ \textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}\mid {\overrightarrow{q}}_{\textrm{T}}\mid $$ d σ t t ¯ / d ∣ q → T ∣ . In the context of the effective field theories, SCETII and HQET, we will demonstrate that in spite of the $$ {q}_{\tau_{\perp }} $$ q τ ⊥ integrations, the leading asymptotic terms of $$ \textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}{q}_{\tau } $$ d σ t t ¯ / d q τ still observe the factorisation pattern in terms of the hard, beam, and soft functions in the vicinity of qτ = 0 GeV. Then, with the help of the renormalisation group equation techniques, we carry out the resummation at NLL+NLO, N2LL+N2LO, and approximate N2LL′+N2LO accuracy on three observables of interest, $$ \textrm{d}{\sigma}_{t\overline{t}}/d{q}_{\textrm{T},\textrm{in}},\textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}{q}_{\textrm{T},\textrm{out}} $$ d σ t t ¯ / d q T , in , d σ t t ¯ / d q T , out , and $$ \textrm{d}{\sigma}_{t\overline{t}}/d\Delta {\phi}_{t\overline{t}} $$ d σ t t ¯ / d Δ ϕ t t ¯ , within the domain $$ {M}_{t\overline{t}} $$ M t t ¯ ≥ 400 GeV. The first two cases are obtained by choosing $$ \overrightarrow{\tau} $$ τ → parallel and perpendicular to the top quark transverse momentum, respectively. The azimuthal de-correlation $$ \Delta {\phi}_{t\overline{t}} $$ Δ ϕ t t ¯ of the $$ t\overline{t} $$ t t ¯ pair is evaluated through its kinematical connection to qT,out. This is the first time the azimuthal spectrum $$ \Delta {\phi}_{t\overline{t}} $$ Δ ϕ t t ¯ is appraised at or beyond the N2LL level including a consistent treatment of both beam collinear and soft radiation.

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Master integrals for the NNLO virtual corrections to $$ q\overline{q}\to t\overline{t} $$ scattering in QCD: the non-planar graphs

Cited by 26 publications

References 66 publications

Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

New physics at the MUonE experiment at CERN

Projected transverse momentum resummation in top-antitop pair production at LHC

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