Fermionic DIS from a deformed string/gauge correspondence model

Authors

  • Eduardo Capossoli Colégio Pedro II
  • Miguel Angel Martín Contreras
  • Danning Li
  • Alfredo Vega
  • Henrique Boschi-Filho

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308076

Keywords:

Deformed string/gauge correspondence, Fermions, Deep inelastic scattering, Structure Functions

Abstract

From a deformed AdS5 space, we used the string/gauge duality to study the deep inelastic scattering for unpolarized fermions with spin 1/2, considering the large Bjorken x parameter regime. Here, we also took into account an anomalous dimension of an operator which represents fermions at the boundary. From this analysis, we compute the corresponding structure functions, which are dependent on $x$ and on the photon virtuality q. The results achieved are in agreement with the experimental data.

References

H. Georgi and H. Politzer, Electroproduction scaling in an asymptotically free theory of strong interactions, Phys. Rev. D 9 (1974) 416, https://doi.org/10.1103/PhysRevD.9.416.

D. Gross, S. Treiman and F. A. Wilczek, Mass Corrections in Deep Inelastic Scattering, Phys. Rev. D 15 (1977) 2486, https://doi.org/10.1103/PhysRevD.15.2486.

O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183, https://doi.org/10.1016/S0370-1573(99)00083-6. [arXiv:hep-th/9905111 [hepth]].

J. Polchinski and M. J. Strassler, Deep inelastic scattering and gauge / string duality, JHEP 0305 (2003) 012, https://doi.org/10.1088/1126-6708/2003/05/012.

C. A. Ballon Bayona, H. Boschi-Filho and N. R. F. Braga, Deep inelastic structure functions from supergravity at small x, JHEP 0810 (2008) 088, https://doi.org/10.1088/1126-6708/2008/10/088.

C. A. Ballon Bayona, H. Boschi-Filho and N. R. F. Braga, Deep inelastic scattering from gauge string duality in the soft wall model, JHEP 0803 (2008) 064, [arXiv:0711.0221 [hep-th]].

J. H. Gao and B. W. Xiao, Polarized Deep Inelastic and Elastic Scattering From Gauge/String Duality, Phys. Rev. D 80 (2009) 015025, https://doi.org/10.1103/PhysRevD.80.015025.

J. H. Gao and Z. G. Mou, Polarized Deep Inelastic Scattering Off the Neutron From Gauge/String Duality, Phys. Rev. D 81 (2010) 096006, https://doi.org/10.1103/PhysRevD.81.096006.

C. A. Ballon Bayona, H. Boschi-Filho, N. R. F. Braga and M. A. C. Torres, Deep inelastic scattering for vector mesons in holographic D4-D8 model, JHEP 1010 (2010) 055, [arXiv:1007.2448 [hep-th]].

N. R. F. Braga and A. Vega, Deep inelastic scattering of baryons in a modified soft wall model, Eur. Phys. J. C 72 (2012) 2236, [arXiv:1110.2548 [hep-ph]].

J. H. Gao and Z. G. Mou, Structure functions in deep inelastic scattering from gauge/string duality beyond single-hadron final states, Phys. Rev. D 90 (2014) 075018, https://doi.org/10.1103/PhysRevD.90.075018.

E. Folco Capossoli and H. Boschi-Filho, Deep Inelastic Scattering in the Exponentially Small Bjorken Parameter Regime from the Holographic Softwall Model, Phys. Rev. D 92 (2015) 126012, https://doi.org/10.1103/PhysRevD.92.126012.

O. Andreev and V. I. Zakharov, Heavy-quark potentials and AdS/QCD, Phys. Rev. D 74 (2006) 025023, https://doi.org/10.1103/PhysRevD.74.025023.

S. Afonin, Generalized Soft Wall Model, Phys. Lett. B 719 (2013) 399, https://doi.org/10.1016/j.physletb.2013.01.055.

M. Rinaldi and V. Vento, Scalar and Tensor Glueballs as Gravitons, Eur. Phys. J. A 54 (2018) 151, https://doi.org/10.1140/epja/i2018-12600-9.

R. C. L. Bruni, E. Folco Capossoli and H. Boschi-Filho, Quarkantiquark potential from a deformed AdS/QCD, Adv. High Energy Phys. 2019 (2019) 1901659, https://doi.org/10.1155/2019/1901659.

S. Afonin and A. Katanaeva, Glueballs and deconfinement temperature in AdS/QCD, Phys. Rev. D 98 (2018) 114027, https://doi.org/10.1103/PhysRevD.98.114027.

E. Folco Capossoli, M. A. M. Contreras, D. Li, A. Vega and H. Boschi-Filho, Hadronic Spectra from Deformed AdS Backgrounds, Chin. Phys. C 44 (2020) 064104, https://doi.org/10.1088/1674-1137/44/6/064104.

M. A. Martin Contreras, E. Folco Capossoli, D. Li, A. Vega and H. Boschi-Filho, Pion form factor from an AdS deformed background, Nucl. Phys. B 977 (2022) 115726, https://doi.org/10.1016/j.nuclphysb.2022.115726.

M. A. M. Contreras, E. F. Capossoli, D. Li, A. Vega and H. Boschi-Filho, Proton and neutron form factors from deformed gravity/gauge duality, Phys. Lett. B 822 (2021) 136638, https://doi.org/10.1016/j.physletb.2021.136638.

A. V. Manohar, An Introduction to spin dependent deep inelastic scattering, In *Lake Louise 1992, Symmetry and spin in the standard model* 1-46 [hep-ph/9204208].

A. Karch, E. Katz, D. T. Son and M. A. Stephanov, Linear confinement and AdS/QCD, Phys. Rev. D 74 (2006) 015005, [hepph/0602229]. 23. S. S. Gubser, A. Nellore, S. S. Pufu and F. D. Rocha, ‘Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics, Phys. Rev. Lett. 101, (2008) 131601, https://doi.org/10.1103/PhysRevLett.101.131601.

A. Vega and I. Schmidt, Hadrons in AdS/QCD correspondence, Phys. Rev. D 79 (2009) 055003, https://doi.org/10.1103/PhysRevD.79.055003.

H. Boschi-Filho, N. Braga, F. Jugeau and M. Torres, Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD, Eur. Phys. J. C 73 (2013) 2540, https://doi.org/10.1140/epjc/s10052-013-2540-5.

E. Folco Capossoli, D. Li and H. Boschi-Filho, Dynamical corrections to the anomalous holographic soft-wall model: the pomeron and the odderon, Eur. Phys. J. C 76 (2016) 320, https://doi.org/10.1140/epjc/s10052-016-4171-0.

D. M. Rodrigues, E. Folco Capossoli and H. Boschi-Filho, Scalar and higher even spin glueball masses from an anomalous modified holographic model, EPL 122 (2018) 21001, https://doi.org/10.1209/0295-5075/122/21001.

M. Henningson and K. Sfetsos, Spinors and the AdS / CFT correspondence, Phys. Lett. B 431 (1998) 63, [hep-th/9803251].

P.A. Zyla et al., (Particle Data Group), Prog. Theor. Exp. Phys. 2020 (2020) 083C01.

L. Whitlow, E. Riordan, S. Dasu, S. Rock and A. Bodek, Precise measurements of the proton and deuteron structure functions from a global analysis of the SLAC deep inelastic electron scattering cross-sections, Phys. Lett. B 282 (1992) 475, https://doi.org/10.1016/0370-2693(92) 90672-Q.

A. Benvenuti et al. [BCDMS], A High Statistics Measurement of the Proton Structure Functions F(2) (x, Q**2) and R from Deep Inelastic Muon Scattering at High Q**2, Phys. Lett. B 223 (1989) 485, https://doi.org/10.1016/0370-2693(89)91637-7.

E. Folco Capossoli, M. A. Martín Contreras, D. Li, A. Vega and H. Boschi-Filho, Proton structure functions from an AdS/QCD model with a deformed background, Phys. Rev. D 102 (2020) 086004, https://doi.org/10.1103/PhysRevD.102.086004.

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Published

2022-06-13

How to Cite

1.
Capossoli E, Martín Contreras MA, Li D, Vega A, Boschi-Filho H. Fermionic DIS from a deformed string/gauge correspondence model. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 13 [cited 2024 Jul. 27];3(3):0308076 1-5. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6075