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

Ahmed, Taushif; Banerjee, Pulak; Chakraborty, Amlan; Dhani, Prasanna K.; Ravindran, V.

doi:10.1103/physrevd.102.061701

Cited by 10 publications

(9 citation statements)

References 70 publications

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“…Since form factors involve both local operators and asymptotic on-shell states, they contain important information of both on-shell amplitudes and anomalous dimension of local operators. This has inspired many studies that generalize amplitudes techniques to form factors and also use form factors to study the spectrum problem of generic operators [34][35][36][37][38][39][40][41][42][43][44]. A state-of-the-art pedagogical review for form factors in N = 4 SYM can be found in [45].…”

Section: Introductionmentioning

confidence: 99%

Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

Lin

Yang

2021

J. High Energ. Phys.

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Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large Nc planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in the SU(2) sector in $$ \mathcal{N} $$ N = 4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors of high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor result provides an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergences, we also reproduce the known non-planar SU(2) dilatation operator at two loops. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.

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Section: Introductionmentioning

confidence: 99%

Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

Lin

Yang

2021

J. High Energ. Phys.

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“…In refs. [119,120], it has been shown that the conjecture also fails to hold true for two-point FF with two operators insertion. In view of this, we investigate whether there is any similarity between the HT weight terms of the scalar and pseudo-scalar FF as computed in this article and that of mSYM theory.…”

Section: Behaviour Of Leading Transcendentality Weight Termsmentioning

confidence: 99%

“…JHEP01(2022)189 F cotβ for the pseudo-scalar Higgs boson production. The corresponding one-loop two-point scalar FF in mSYM [120] with two operator insertion of half-BPS primary contain different kinematic coefficients.…”

Section: Behaviour Of Leading Transcendentality Weight Termsmentioning

confidence: 99%

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

Ahmed

Ravindran

Sankar

et al. 2022

J. High Energ. Phys.

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Through this article, we present the two-loop massless QCD corrections to the production of di-Higgs and di-pseudo-Higgs boson through quark annihilation in the large top quark mass limit. Within dimensional regularisation, we employ the non-anticommuting γ5 and treat it under the Larin prescription. We discover the absence of any additional renormalisation, so-called contact renormalisation, that could arise from the short distance behaviour of two local operators. This finding is in corroboration with the operator product expansion. By examining the results, we discover the lack of similarity in the highest transcendentality weight terms between these finite remainders and that of a pair of half-BPS primary operators in maximally supersymmetric Yang-Mills theory. We need these newly computed finite remainders to calculate observables involving di-Higgs or di-pseudo- Higgs at the next-to-next-to-leading order. We implement the results to a numerical code for further phenomenological studies.

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“…In refs. [118,119], it has been shown that the conjecture also fails to hold true for two-point FF with two operators insertion. In view of this, we investigate whether there is any similarity between the HT weight terms of the scalar and pseudo-scalar FF as computed in this article and that of mSYM theory.…”

Section: Behaviour Of Leading Transcendentality Weight Termsmentioning

confidence: 99%

“…For instance, the one-loop finite remainders contain three weight 2 polylogarithms, Li 2 (−x), Li 2 (1/(1 + y)) and Li 2 (1/(1 + z)), with the coefficients F cotβ for the pseudo-scalar Higgs boson production. The corresponding one-loop two-point scalar FF in mSYM [119] with two operator insertion of half-BPS primary contain different kinematic coefficients. for the process q + q → φ + φ as a function of the scaling variable x for positive (left panel) and negative (right panel) values of cos(θ).…”

Section: Behaviour Of Leading Transcendentality Weight Termsmentioning

confidence: 99%

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

Ahmed,

Ravindran,

Sankar

et al. 2021

Preprint

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Through this article, we present the two-loop massless QCD corrections to the production of di-Higgs and di-pseudo-Higgs boson through quark annihilation in the large top quark mass limit. Within dimensional regularisation, we employ the non-anticommuting γ 5 and treat it under the Larin prescription. We discover the absence of any additional renormalisation, so-called contact renormalisation, that could arise from the short distance behaviour of two local operators. This finding is in corroboration with the operator product expansion. By examining the results, we discover the lack of similarity in the highest transcendentality weight terms between these finite remainders and that of a pair of half-BPS primary operators in maximally supersymmetric Yang-Mills theory. We need these newly computed finite remainders to calculate observables involving di-Higgs or di-pseudo-Higgs at the next-to-next-to-leading order. We implement the results to a numerical code for further phenomenological studies.

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

Cited by 10 publications

References 70 publications

Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

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