The next-to-next-to-leading order soft function for top quark pair production

Wang, Guoxing; Xu, Xiaofeng; Yang, Li Lin; Zhu, Hua Xing

doi:10.1007/jhep06(2018)013

Cited by 7 publications

(5 citation statements)

References 153 publications

(308 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We note that our calculation shares many features with that of the NNLO soft function for top pair production in the threshold limit [31,32]. However, the result for the latter is not of direct use in the context of q T slicing.…”

Section: Introductionmentioning

confidence: 68%

See 1 more Smart Citation

NNLO soft function for top quark pair production at small transverse momentum

Ángeles-Martínez

Czakon

Sapeta

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

The cross section for top quark pair production factorizes at small transverse momentum of the heavy quark pair, q T . One of the key ingredients that appears in the factorization formula is the soft function, which mediates soft gluon exchanges between particles and gives rise to colour correlations. We present the complete result for the small-q T soft function at the next-to-next-to-leading order. This is the last missing element needed to calculate the NNLO cross section for top quark pair production by means of the q T slicing method. In order to evaluate divergent integrals appearing in the calculation, we develop methods based on sector decomposition and differential equations. We present an extensive validation of our framework. In particular, we recover results predicted by the renormalization group, which constitutes a direct demonstration of validity of the small-q T factorization at NNLO. We provide complete results for the real and imaginary part of the soft function, which are ready for application in the calculation of the tt cross section at NNLO.

show abstract

Section: Introductionmentioning

confidence: 68%

“…We see that they include both abelian and non-abelian structures. The above observations were also made in the related calculation of the NNLO soft function for top pair production in the threshold limit [31,32].…”

Section: Double-cut Diagramsmentioning

confidence: 74%

NNLO soft function for top quark pair production at small transverse momentum

Ángeles-Martínez

Czakon

Sapeta

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Hence, in order to achieve the NNLO accuracy of the tt cross section, one needs to calculate the missing NNLO correction to the soft function appearing in Eq. (23) (We note that such calculation shares many features with that of the NNLO soft function for top pair production in the threshold limit [17,18]. However, the result for the latter is not of direct use in our context.…”

Section: Pos(ll2018)033mentioning

confidence: 91%

Top pair production at NNLO

Sapeta¹

2018

Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)

View full text Add to dashboard Cite

We report on progress towards calculating the NNLO cross section for top quark pair production in the the framework which combines the q T-slicing method and small-q T factorization. In this contribution, we present the complete result for the small-q T soft function at NNLO, which constitutes the main challenge on the way to our goal. In order to evaluate the divergent integrals appearing in the calculation, we develop methods based on sector decomposition and differential equations. We present complete validation of our framework and provide results which are ready for application in the calculation of the tt cross section at NNLO.

show abstract

“…We note that a similar calculation was performed in ref. [57], however, the unresolved phase space in that paper was subject to a slightly different constraint.…”

Section: Jhep07(2020)011mentioning

confidence: 97%

Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics

Bizon

Delto

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider the double-soft limit of QCD amplitudes with two massive quarks in a back-to-back kinematics accompanied by two soft partons. We integrate analytically the respective double-soft eikonal functions over the phase space of the two soft partons. Within the context of the nested soft-collinear subtraction scheme, our results may serve as one of the integrated subtraction terms needed for the analytic and fully-differential description of next-to-next-to-leading order (NNLO) QCD corrections to colour-singlet decay into massive partons or to heavy-quark pair production.

show abstract

The next-to-next-to-leading order soft function for top quark pair production

Cited by 7 publications

References 153 publications

NNLO soft function for top quark pair production at small transverse momentum

NNLO soft function for top quark pair production at small transverse momentum

Top pair production at NNLO

Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics

Contact Info

Product

Resources

About