Two-Loop QCD Corrections to the Higgs Plus Three-parton Amplitudes with Top Mass Correction

Jin, Qingjun; Yang, Gang

doi:10.1007/jhep02(2020)169

Cited by 17 publications

(45 citation statements)

References 132 publications

(190 reference statements)

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“…We obtain the analytic expressions, and find that maximal transcendental part is universal, namely, independent of the operators. This provides further support of the maximal transcendentality principle introduced in study of anomalous dimensions in [41,42] and then observed for the form factor of tr(F 2 ) in [43] and later also for other operators [12,13,31,[44][45][46][47][48][49][50][51][52]. Besides, the lower transcendentality degree-3 and degree-2 parts also contain universal building blocks, which was also observed in the previous results with dimension-six operators [13].…”

Section: Introductionsupporting

confidence: 87%

“…For the Higgs plus one jet production, the contribution of higher dimension operators can be important when the Higgs transverse momentum is comparable to the top mass. The two-loop Higgs plus three-parton amplitudes with the leading operator O 4;0 = Tr(F µν F µν ) were computed in [11], and similar two-loop amplitudes with dimensionsix operators were computed in [12,13]. The two-loop amplitudes with higher dimension operators may be used to improve the precision for the cross section of Higgs plus a jet production at N 2 LO, which is so far known in the infinite top mass limit [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…To compute the loop form factors for the basis operators, we apply the unitarity-IBP strategy that combines unitarity cut [26][27][28] and integration by parts (IBP) methods [29,30]. This strategy has been applied to computing form factors (and Higgs amplitudes) in [12,13,31] and for pure gluon amplitudes in [32,33]. Similar strategy has also been used in the numerical unitarity approach [34,35], in which unitarity and IBP are used together with numerical variables to avoid large intermediate expressions.…”

Section: Introductionmentioning

confidence: 99%

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Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Jin

Ren

Yang

2021

J. High Energ. Phys.

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We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion process. We first discuss the classification of operators and how to construct a good set of basis using both off-shell field theory method and on-shell form factor formalism. To study loop corrections, we apply efficient unitarity-IBP strategy and compute the two-loop minimal form factors of length-3 operators up to dimension sixteen. From the UV divergences of form factor results, we extract the renormalization matrices and analyze the operator mixing behavior in detail. The form factors we compute are also equivalent to Higgs plus three-gluon amplitudes that capture high-order top mass corrections in Higgs EFT. We obtain the analytic finite remainder functions which exhibit several universal transcendentality structures.

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Section: Introductionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Jin

Ren

Yang

2021

J. High Energ. Phys.

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“…The diagonal elements of the twopoint pseudoscalar [27] and tensorial FFs [28,29] also obey the conjecture. The three-point scalar and pseudoscalar FFs are also found to respect the PMT [12,22,[30][31][32][33][34][35][36]. Employing this conjecture, the four-loop collinear anomalous dimension in the planar N ¼ 4 sYM is computed [37].…”

Section: Introductionmentioning

confidence: 78%

Form factors with two operator insertions and the principle of maximal transcendentality

et al. 2020

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We present the first calculations of two-point two-loop form factors (FFs) with a two identical operators insertion in maximally supersymmetric Yang-Mills theory. In this article, we consider the supersymmetry protected half-BPS primary and unprotected Konishi operators. Unlike the FFs of a single operator insertion of the half-BPS primary, the FFs involving two half-BPS operators are found to contain lower transcendentality weight terms in addition to the highest ones. Moreover, in contrast to Sudakov FFs, the highest weight terms of the FFs of a double half-BPS no longer match with that of a double Konishi. We also find that the principle of maximal transcendentality, which dictates the presence of identical highest weight terms in the scalar FFs of half-BPS and quark/gluon FFs in QCD, does not hold true anymore for insertions of two identical operators. We discover the absence of any additional ultraviolet counterterm that could arise from the contact interaction between two composite operators.

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“…In this respect, form factors have also been studied in ABJM theory [160,161,162]. There have been applications of on-shell methods for computing the Higgs amplitudes with high dimension operators in Higgs EFT [163,164,165,166,167,168]. Form factors with sixdimensional spinor helicity formalism have been studied recently in [169].…”

Section: Discussionmentioning

confidence: 99%

On-shell methods for form factors in $$\mathcal{N}=4$$ SYM and their applications

Yang

2020

Sci. China Phys. Mech. Astron.

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Form factors are quantities that involve both asymptotic on-shell states and gauge invariant operators. They provide a natural bridge between on-shell amplitudes and off-shell correlation functions of operators, thus allowing us to use modern on-shell amplitude techniques to probe into the off-shell side of quantum field theory. In particular, form factors have been successfully used in computing the cusp (soft) anomalous dimensions and anomalous dimensions of general local operators. This review is intended to provide a pedagogical introduction to some of these developments. We will first review some amplitudes background using four-point amplitudes as main examples. Then we generalize these techniques to form factors, including (1) tree-level form factors, (2) Sudakov form factor and infrared singularities, and (3) form factors of general operators and their anomalous dimensions. Although most examples we consider are in N = 4 super-Yang-Mill theory, the on-shell methods are universal and are expected to be applicable to general gauge theories. *

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Two-Loop QCD Corrections to the Higgs Plus Three-parton Amplitudes with Top Mass Correction

Cited by 17 publications

References 132 publications

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Form factors with two operator insertions and the principle of maximal transcendentality

On-shell methods for form factors in $$\mathcal{N}=4$$ SYM and their applications

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