The two-loop QCD correction to massive spin-2 resonance $$ \rightarrow q \bar{q} g $$ → q q ¯ g

Ahmed, Taushif; Das, Goutam; Mathews, Prakash; Rana, N. C.; Ravindran, V.

doi:10.1140/epjc/s10052-016-4478-x

Cited by 7 publications

(8 citation statements)

References 58 publications

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“…4, wherein the presence of two Bi oxidation states, Bi 3+ and Bi 5+ , is exhibited. The peaks for Bi 3+ are at 159.6 eV and 164.9 eV, while the Bi 5+ peaks are at 160.8 eV and 166.1 eV, which agree with peak assignments of bismuth oxidation states in other reports [25][26]. Bi2O3 (Bi 3+ ) is the most thermodynamically stable form of bismuth oxide, but Bi2O5 (Bi 5+ ) and other oxidation states, Bi 2+ and Bi 4+ , can form from the stable Bi2O3 phase when it is heated to 1100-1300 K [27].…”

Section: 3cluster Size Determinationsupporting

confidence: 89%

MoS2 impurities: Chemical identification and spatial resolution of bismuth impurities in geological material

Sales

Herweyer

Opila

et al. 2020

Applied Surface Science

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Molybdenum disulfide (MoS2) is the most widely studied transition metal dichalcogenide (TMDC) material, in part because it is a natural crystal present in the earth, thus making it abundant and easily accessible. Geological MoS2 has been used in various studies that look at incorporating MoS2 into devices for nanoelectronics and optoelectronics. However, variations in the electronic properties of a single MoS2 surface are known to exist due to defects that are intrinsic to natural MoS2. This work reports the presence of bismuth impurities in MoS2 with concentrations high enough to be detected by X-ray photoelectron spectroscopy (XPS). These concentrations are further corroborated with inductively coupled plasma optical emission spectroscopy (ICP-OES). Localization of these bismuth clusters is shown using XPS-mapping, and the cluster size is determined to be on the order of tens of microns. This work provides important insights into the nature of impurities that are known to exist in MoS2. Keywords: Geological MoS2, Impurities, Bismuth, X-ray photoelectron spectroscopy concentrations are higher than ~0.1%, which is the typical detection limit of XPS [19]. The chemical state of these Bi impurities is determined. Estimates of the impurity size and distribution across the MoS2 surface are also reported. Material and MethodsGeological MoS2 crystal (Graphene Supermarket[20]) was cleaned by mechanical exfoliation with scotch tape which removed the top most layers of MoS2, leaving a freshly exposed crystal surface. These samples were then loaded into ultra-high vacuum (UHV) for Xray photoelectron spectroscopy (XPS) in less than 30 minutes. XPS spectra were acquired using Al K X-rays (1468.7 eV) at a pass energy of 26 eV in a PHI VersaProbe III system. This XPS tool is also equipped with a scanning X-ray induced (SXI) secondary electron imaging feature for accurate point selection in the micrometer range, and a variety of X-ray spot sizes ranging from 9 to 200 m. Spectra of geological MoS2 from another vendor (SPI Supplies [21]) are shown in Supplementary Material to confirm that Bi is detected from more than one material source, but all XPS analyses shown in the main text are of MoS2 from Graphene Supermarket.XPS mapping was performed by selecting a random area of the crystal and through the SXI imaging mode, setting up an array of points that are 100 m apart horizontally and vertically. The Mo 3d and S 2p spectra were taken at each of these points using an X-ray beam spot size of 100 m. The points analyzed were within an 800 m x 800 m area, for a total of 81 spots checked. These spectra were batch processed using the PHI MultiPak software in order to identify which of the 81 points had Bi peaks present from XPS.A particle/cluster size check of the bismuth impurities was achieved by centering the Xray spot on a Bi impurity, and without moving the sample, analyzing the same spot using different X-ray beam spot sizes: 9 m, 15 m, 20 m, 50 m, 100 m, and 200 m. All XPS peak fitting in this work to obtain areas of ...

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Section: 3cluster Size Determinationsupporting

confidence: 89%

MoS2 impurities: Chemical identification and spatial resolution of bismuth impurities in geological material

Sales

Herweyer

Opila

et al. 2020

Applied Surface Science

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“…In the present context, it is worth mentioning earlier works on the two loop three point FF computations for the scattering cross section e + e − → 3 jets [87], Higgs decays H → g + g + g and H → g + q +q in [88,89]. Decays of a massive spin-2 resonance to 3 gluons as well as fermion anti-fermion and a gluon can be found in [90,91] and some other works [92,93]. Computation of the production of massive spin 1 bosons at two loop level in QCD can be found in the literature [94].…”

Section: Jhep05(2017)085 23 Methodology Of Calculationmentioning

confidence: 86%

Finite remainders of the Konishi at two loops in N = 4 $$ \mathcal{N}=4 $$ SYM

Banerjee

Dhani

Mahakhud

et al. 2017

J. High Energ. Phys.

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We present three point form factors (FF) in N = 4 Super Yang Mills theory for both the half-BPS and the Konishi operators at two loop level in the 't Hooft coupling using Feynman diagrammatic approach. We have chosen on shell final states consisting of gφφ and φλλ, where φ, λ, g are scalar, Majorana fermion and gauge fields respectively. The computation is done both in the modified dimensional reduction as well as in the four dimensional helicity scheme. We have studied the universal structure of infrared (IR) singularities in these FFs using Catani's IR subtraction operators. Exploiting the factorisation property of the IR singularities and following BDS like ansatz for the IR sensitive terms in FFs, we determine the finite remainders of them. We find that the finite remainders of FFs of the half-BPS for both the choices of final states give not only identical results but also contain terms of uniform transcendentality of weight two and four at one and two loop levels, respectively. In the case of the Konishi operator, the finite remainders depend on the external states and do not exhibit uniform transcendentality. However, surprisingly, the leading transcendental terms for gφφ agree with that of the half-BPS. We have demonstrated the role of on shell external states for the FFs in the context of maximum transcendentality principle.

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“…The computation of S Λ,(i) a for a = g, q; Λ = G, J, GJ, JG, i = 0, 1, 2 closely follows the steps used in [67][68][69][70][71][72][73][74]. We briefly describe the main steps involved.…”

Section: Matrix Elementsmentioning

confidence: 99%

Two loop QCD corrections for the process pseudo-scalar Higgs → 3 partons

Banerjee

Dhani

Ravindran

2017

J. High Energ. Phys.

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We present virtual contributions up to two loop level in perturbative Quantum Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson (A) to three gluons (g) and also to quark (q), anti-quark (q) and a gluon. With appropriate crossing, they are well suited for predicting the differential distribution of A in association with a jet in hadron colliders up to next-to-next-to-leading order (NNLO) in strong coupling constant and also for the subsequent decay of A to hadrons. We use effective field theory approach to integrate out the top quarks in the heavy top limit. The resulting theory involves two pseudo-scalar composite operators describing the interaction of A with gluons as well as with quark and anti-quark. We perform our computation in dimensional regularisation and use minimal subtraction (M S) scheme to renormalise strong coupling constant as well as the composite operators. The ultraviolet (UV) finite amplitudes contain infrared (IR) divergences that are found to be in agreement with the predictions by Catani. For both the amplitudes namely A → ggg and A → qqg, the leading transcendental terms at one and two loops are found to be identical to those in a three point form factor (FF) of the half-BPS operator in N = 4 Supersymmetric Yang Mills (SYM) theory when the QCD color factors are adjusted in a specific way. We present our results in terms of harmonic polylogs well suited for further numerical study.

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The two-loop QCD correction to massive spin-2 resonance $$ \rightarrow q \bar{q} g $$ → q q ¯ g

Cited by 7 publications

References 58 publications

MoS2 impurities: Chemical identification and spatial resolution of bismuth impurities in geological material

MoS2 impurities: Chemical identification and spatial resolution of bismuth impurities in geological material

Finite remainders of the Konishi at two loops in N = 4 $$ \mathcal{N}=4 $$ SYM

Two loop QCD corrections for the process pseudo-scalar Higgs → 3 partons

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