Impact factor for high-energy two and three jets diffractive production

Boussarie, Renaud; Grabovsky, Andrey; Szymanowski, L.; Wallon, S.

doi:10.1007/jhep09(2014)026

Cited by 49 publications

(28 citation statements)

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“…There have been several caluclations of single [20][21][22][23][24][25] and double [26] inclusive parton production at forward rapidity in high energy proton-nucleus collisions. In the context of deep inelastic scattering, both inclusive [27][28][29][30][31] and exclusive [32][33][34] processes have been studied at the NLO order.…”

Section: Introductionmentioning

confidence: 99%

One-loop corrections to light cone wave functions: The dipole picture DIS cross section

2018

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We develop methods needed to perform loop calculations in light cone perturbation theory using a helicity basis, refining the method introduced in our earlier work. In particular this includes implementing a consistent way to contract the four-dimensional tensor structures from the helicity vectors with d-dimensional tensors arising from loop integrals, in a way that can be fully automatized. We demonstrate this explicitly by calculating the one-loop correction to the virtual photon to quarkantiquark dipole light cone wave function. This allows us to calculate the deep inelastic scattering cross section in the dipole formalism to next-to-leading order accuracy. Our results, obtained using the four dimensional helicity scheme, agree with the recent calculation by Beuf using conventional dimensional regularization, confirming the regularization scheme independence of this cross section. PACS numbers: 24.85.+p,25.75.-q,12.38.Mh p, h, α p ≡ p − k, h , β k, λ, a; k + = zp + q ≡ k − zp p, h, α p ≡ p − k, h , β k, λ, a; k + = zp + q ≡ k − zp FIG. 1: Left: Gluon emission vertex from a quark V α;β,a h;h ,λ (q, z) Eq. (6), where α, β are quark colors, h, h the quark helicities before and after the emission, a the gluon color and λ the gluon helicity. Right: Gluon absorption vertex into quark V β,a;α h ,λ;h (q, z) Eq. (8).Any factor of dimension arising from the numerator Lorentz and Dirac algebra should be labeled as d s , and should be distinct from the dimension d. Once the spin and tensor algebra is done one analytically continues the result to d < 4 and takes the limit d s → 4 for the spins of the internal particles.Typically the dimensionality is parametrized as d = 4 − 2ε. We will also use the notation d ⊥ ≡ d − 2 = 2 − 2ε for the number of transverse dimensions in light cone coordinates. Within the DR and FDH schemes one can still choose the momentum of observed particles to be either d-dimensional or 4-dimensional. At one-loop order, however, these choices lead to difference of O(ε) and thus one can set the observed particles momenta to be 4-dimensional.The question of which regularization scheme is most efficient for a given calculation is of course very subjective. We would like to argue in this paper that for one-loop LCPT calculations the helicity basis supplemented with the FDH regularization scheme is in fact the most efficient one. However, as we will show below, the helicity basis approach can also be combined with other dimensional regularization scheme choices, and in particular with the CDR scheme. Our overall motivation for using the FDH scheme is the following. The one-loop results for physical observables arise from a product of a one-loop tensorial loop integral and another tensor from the spin/helicity structure of the vertices. The resulting contributions can be classified into three kinds of terms. The most divergent part is obtained by taking the divergent 1/ε-term from the integral, and evaluating the helicity structure in 4 spacetime dimensions. This part has no scheme dependence. The scheme de...

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Section: Introductionmentioning

confidence: 99%

One-loop corrections to light cone wave functions: The dipole picture DIS cross section

2018

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“…We note that, motivated by collider experiments, small x computations in the gluon saturation regime are increasingly to next-to-leading order accuracy. Some examples of the studies being performed include, besides inclusive DIS [104], DIS diffractive dijet production [109,110] and exclusive light vector meson production [111], single inclusive forward hadron production in p + p and p + A collisions [112][113][114][115] and more recently inclusive photon production in p + A collisions [35,42]. Looking further ahead, we believe that the momentum space methods discussed here can exploited to make progress in these and related computations.…”

Section: Discussionmentioning

confidence: 90%

Inclusive prompt photon production in electron-nucleus scattering at small x

Roy

Venugopalan

2018

J. High Energ. Phys.

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Abstract:We compute the differential cross-section for inclusive prompt photon production in deeply inelastic scattering (DIS) of electrons on nuclei at small x in the framework of the Color Glass Condensate (CGC) effective theory. The leading order (LO) computation in this framework resums leading logarithms in x as well as power corrections to all orders in Q 2 s,A /Q 2 , where Q s,A (x) is the nuclear saturation scale. This LO result is proportional to universal dipole and quadrupole Wilson line correlators in the nucleus. In the soft photon limit, the Low-Burnett-Kroll theorem allows us to recover existing results on inclusive DIS dijet production. The k ⊥ and collinearly factorized expressions for prompt photon production in DIS are also recovered in a leading twist approximation to our result. In the latter case, our result corresponds to the dominant next-to-leading order (NLO) perturbative QCD contribution at small x. We next discuss the computation of the NLO corrections to inclusive prompt photon production in the CGC framework. In particular, we emphasize the advantages for higher order computations in inclusive photon production, and for fully inclusive DIS, arising from the simple momentum space structure of the dressed quark and gluon "shock wave" propagators in the "wrong" light cone gauge A − = 0 for a nucleus moving with P + N → ∞.

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“…Depending on whether the gluon is emitted from the quark or antiquark, we have denoted the contributions from these kinds of processes respectively by T Table II that we get different results for the respective color structures in the NLO cross-section depending on whether the processes constituting T (2,3) R interfere between themselves or with their q ↔q interchanged counterparts. This dependence on color flow at the loop level is absent for the case discussed in [54][55][56] where the qq is projected on to a singlet final state. We will show that these differing color structures have interesting implications for soft gluon factorization.…”

Section: Constructing the Inclusive Photon+2 Jet Cross-sectionmentioning

confidence: 95%

“…This process has clean initial and final states and is the simplest non-trivial process besides fully inclusive DIS to study the physics of gluon saturation in e + A collisions. This computation provides more differential phase space distributions, thereby going beyond existing small x computations [45][46][47][48][49][50][51][52][53] on the total cross-section for fully inclusive DIS; exceptions are the NLO differential cross-section computations by Boussarie et al [54][55][56], albeit for diffractive DIS.…”

Section: Introductionmentioning

confidence: 99%

NLO impact factor for inclusive photon+dijet production in e+A DIS at small x

Roy

Venugopalan

2020

Phys. Rev. D

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We compute the next-to-leading order (NLO) impact factor for inclusive photon +dijet production in electron-nucleus (e+A) deeply inelastic scattering (DIS) at small x. An important ingredient in our computation is the simple structure of "shock wave" fermion and gluon propagators. This allows one to employ standard momentum space Feynman diagram techniques for higher order computations in the Regge limit of fixed Q 2 Λ 2 QCD and x → 0. Our computations in the Color Glass Condensate (CGC) effective field theory include the resummation of all-twist power corrections Q 2 s /Q 2 , where Qs is the saturation scale in the nucleus. We discuss the structure of ultraviolet, collinear and soft divergences in the CGC, and extract the leading logs in x; the structure of the corresponding rapidity divergences gives a nontrivial first principles derivation of the JIMWLK renormalization group evolution equation for multiparton lightlike Wilson line correlators. Explicit expressions are given for the x-independent O(αs) contributions that constitute the NLO impact factor. These results, combined with extant results on NLO JIMWLK evolution, provide the ingredients to compute the inclusive photon + dijet cross-section at small x to O(α 3 s ln(x)). First results for the NLO impact factor in inclusive dijet production are recovered in the soft photon limit. A byproduct of our computation is the LO photon+ 3 jet (quark-antiquark-gluon) cross-section. CONTENTS * kaushik.roy.1@stonybrook.edu † raju@bnl.gov arXiv:1911.04530v2 [hep-ph] 3 Dec 2019 97 J. Proof of the sub-dominance of non-collinearly divergent contributions in the SCA 100References 100

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Impact factor for high-energy two and three jets diffractive production

Cited by 49 publications

References 50 publications

One-loop corrections to light cone wave functions: The dipole picture DIS cross section

One-loop corrections to light cone wave functions: The dipole picture DIS cross section

Inclusive prompt photon production in electron-nucleus scattering at small x

NLO impact factor for inclusive photon+dijet production in e+A DIS at small x

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