{
 "id": "ep7xfrv92w",
 "slug": "deep-inelastic-scattering",
 "title": "Deep inelastic scattering",
 "updated": "2026-10-15",
 "topic_path": [
  {
   "id": "physical",
   "label": "Physical world and mathematics",
   "api_url": "https://www.edgepedia.org/api/v1/topics/physical"
  },
  {
   "id": "physical.physics",
   "label": "Physics",
   "api_url": "https://www.edgepedia.org/api/v1/topics/physical.physics"
  },
  {
   "id": "physical.physics.particles-and-nuclei",
   "label": "Particles and nuclei",
   "api_url": "https://www.edgepedia.org/api/v1/topics/physical.physics.particles-and-nuclei"
  },
  {
   "id": "physical.physics.particles-and-nuclei.accelerators-and-experiments",
   "label": "Accelerators and experimental particle physics",
   "api_url": "https://www.edgepedia.org/api/v1/topics/physical.physics.particles-and-nuclei.accelerators-and-experiments"
  },
  {
   "id": "physical.physics.particles-and-nuclei.accelerators-and-experiments.experimental-methods",
   "label": "Experimental particle physics methods",
   "api_url": "https://www.edgepedia.org/api/v1/topics/physical.physics.particles-and-nuclei.accelerators-and-experiments.experimental-methods"
  }
 ],
 "geo": [
  {
   "id": "geo.nongeo.t1946.physical.physics.particles-and-nuclei",
   "label": "Non-geographic · 1946 to 2000: Particles and nuclei",
   "api_url": "https://www.edgepedia.org/api/v1/geo/geo.nongeo.t1946.physical.physics.particles-and-nuclei",
   "path": [
    {
     "id": "geo.nongeo",
     "label": "Non-geographic",
     "api_url": "https://www.edgepedia.org/api/v1/geo/geo.nongeo"
    },
    {
     "id": "geo.nongeo.t1946",
     "label": "Non-geographic · 1946 to 2000",
     "api_url": "https://www.edgepedia.org/api/v1/geo/geo.nongeo.t1946"
    },
    {
     "id": "geo.nongeo.t1946.physical",
     "label": "Physical world and mathematics",
     "api_url": "https://www.edgepedia.org/api/v1/geo/geo.nongeo.t1946.physical"
    },
    {
     "id": "geo.nongeo.t1946.physical.physics",
     "label": "Physics",
     "api_url": "https://www.edgepedia.org/api/v1/geo/geo.nongeo.t1946.physical.physics"
    },
    {
     "id": "geo.nongeo.t1946.physical.physics.particles-and-nuclei",
     "label": "Particles and nuclei",
     "api_url": "https://www.edgepedia.org/api/v1/geo/geo.nongeo.t1946.physical.physics.particles-and-nuclei"
    }
   ]
  }
 ],
 "excerpt": "Deep inelastic scattering is a particle physics technique in which high-energy leptons scatter off nucleons to probe their quarks and gluons, first observed at SLAC in the late 1960s.",
 "snippet": "Deep inelastic scattering is a particle physics technique in which high-energy leptons scatter off nucleons to probe their quarks and gluons, first observed at SLAC in the late 1960s.",
 "node": "physical.physics.particles-and-nuclei.accelerators-and-experiments.experimental-methods",
 "markdown": "# Deep inelastic scattering\n\nDeep inelastic scattering (DIS) is an experimental technique in particle physics in which high-energy leptons are scattered off nucleons to measure the quarks and gluons inside. Results from deep inelastic neutrino and muon scattering over a wide kinematic range provide quantitative evidence that the proton and neutron are composed of fractionally charged quarks bound together by gluons.<sup>[1](https://www.nature.com/articles/323405a0)</sup> The process is called deep when \\( Q^{2} \\gg M^{2} \\) and inelastic when \\( W^{2} \\gg M^{2} \\), where \\( Q^{2} \\) is the squared four-momentum transfer, \\( W \\) the invariant mass of the produced hadronic system, and \\( M \\) the nucleon mass.<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> Its resolving power is set by \\( Q^{2} \\equiv -q^{2} \\): large \\( Q^{2} \\) probes short distances, small \\( Q^{2} \\) long distances.<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup>\n\n| Key fact | Value |\n|---|---|\n| Defining conditions | Deep: \\( Q^{2} \\gg M^{2} \\); inelastic: \\( W^{2} \\gg M^{2} \\)<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> |\n| Bjorken \\( x_{B} \\) | \\( Q^{2}/(2M\\cdot\\nu) \\); at leading order the momentum fraction carried by the struck quark<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> |\n| Callan–Gross relation | \\( F_{2} = 2x_{B}\\cdot F_{1} \\), from spin-1/2 constituents<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup> |\n| Discovery | SLAC-MIT experiments from late 1967; recognized by the 1990 Nobel Prize in Physics<sup>[4](https://www.nobelprize.org/uploads/2018/06/kendall-lecture-1.pdf)</sup> |\n| HERA legacy data | About 1 fb⁻¹, spanning six orders of magnitude in \\( Q^{2} \\) and \\( x \\)<sup>[5](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)</sup> |\n| Diffractive fraction | About 10% of DIS events<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> |\n| Next facility | EIC at Brookhaven, science operations expected in the mid 2030s<sup>[6](https://link.aps.org/doi/10.1103/424b-f9q3)</sup> |\n\n## How it works\n\nA lepton of energy \\( E \\) scatters to \\( E' \\) through a spacelike virtual photon (or, in variants, a \\( Z^{0} \\) or \\( W^{\\pm} \\)), with \\( Q^{2} \\simeq 4E\\cdot E'\\sin^{2}(\\theta/2) \\), energy loss \\( \\nu = E - E' \\), inelasticity \\( y = \\nu/E \\), and \\( W^{2} = M^{2} + 2M\\cdot\\nu - Q^{2} \\).<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup> [Elastic scattering](https://www.edgepedia.org/elastic-scattering) has \\( W^{2} = M^{2} \\) and is described by form factors \\( G_{E} \\), \\( G_{M} \\); DIS requires \\( W^{2} \\gg M^{2} \\), so the photon breaks the nucleon rather than bouncing off it intact.<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup><sup> • </sup><sup>[7](https://indico.cfnssbu.physics.sunysb.edu/event/604/contributions/2313/attachments/1145/1801/BerndSurrow_CFNS_School_2006_Physics_Detector_Part1_WithoutAnimations.pdf)</sup> The Bjorken variable is \\( x_{B} = Q^{2}/(2M\\cdot\\nu) \\).<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup>\n\nBjorken scaling is the observation that in the limit \\( Q^{2} \\to \\infty \\) with \\( \\nu/Q^{2} \\) fixed, \\( \\nu\\cdot W_{2} \\to F_{2}(x) \\) and \\( M\\cdot W_{1} \\to F_{1}(x) \\): the structure functions (measure of quark momentum distribution inside a nucleon) depend on the single variable \\( x \\) rather than on \\( Q^{2} \\) and \\( \\nu \\) separately.<sup>[8](http://scholarpedia.org/article/Bjorken_scaling)</sup> Scaling indicates scattering from almost-free pointlike constituents; if the constituents had a size scale \\( 1/Q_{0} \\), the structure functions would depend on \\( Q/Q_{0} \\).<sup>[9](https://www.hep.phy.cam.ac.uk/theory/webber/IPMUlect1.pdf)</sup> Scaling holds approximately at moderate \\( x \\); violations grow as \\( x \\) approaches 1 or 0.<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup>\n\nThe dimensionless structure functions are \\( F_{1} = M\\cdot W_{1} \\) and \\( F_{2} = \\nu\\cdot W_{2} \\); the electron cross section \\( d\\sigma/dE'\\cdot d\\Omega \\propto 2\\sin^{2}(\\theta/2)\\cdot W_{1} + \\cos^{2}(\\theta/2)\\cdot W_{2} \\) lets both be extracted from the scattered electron's energy and angle.<sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup> With the longitudinal function \\( F_{L} \\), the decomposition satisfies \\( F_{T} = 2x\\cdot F_{1} \\) and \\( F_{2} = F_{L} + F_{T} \\) (neglecting \\( M \\)).<sup>[10](https://indico.cern.ch/event/1005703/contributions/4221944/attachments/2184743/3923506/Schienbein_dis1_2021.pdf)</sup> In the quark-parton model, \\( F_{2} = x\\sum_{q} e_{q}^{2}\\cdot [f_{q}(x)+\\bar{f}_{q}(x)] \\), an incoherent sum over quark and antiquark flavors, and \\( F_{2} = 2x_{B}\\cdot F_{1} \\) (the Callan–Gross relation), so \\( F_{L} = 0 \\) at leading order.<sup>[11](https://ar5iv.labs.arxiv.org/html/0802.0161)</sup><sup> • </sup><sup>[3](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)</sup> \\( F_{L} \\) starts at next-to-leading order and constrains the gluon PDF through \\( \\gamma^{*}g \\to q\\bar{q} \\).<sup>[10](https://indico.cern.ch/event/1005703/contributions/4221944/attachments/2184743/3923506/Schienbein_dis1_2021.pdf)</sup> At leading power, DIS factorizes into a perturbative hard coefficient and universal parton distribution functions (PDFs), \\( F_{a}(x,Q^{2}) = \\sum_{i} \\int (dy/y)\\, f_{i}(y,Q^{2})\\, C_{a,i}(x/y, \\alpha_{s}(Q^{2})) + O(\\Lambda_{\\mathrm{QCD}}^{2}/Q^{2}) \\), with PDFs evolving by the DGLAP equations.<sup>[11](https://ar5iv.labs.arxiv.org/html/0802.0161)</sup> The momentum sum rule, \\( \\int dx\\, x\\cdot[q(x)+\\bar{q}(x)] \\simeq 0.5 \\), shows quarks carry only about half the proton's momentum, the rest carried by gluons.<sup>[9](https://www.hep.phy.cam.ac.uk/theory/webber/IPMUlect1.pdf)</sup>\n\n## How it is done\n\nA DIS measurement needs a high-intensity lepton beam, a target (historically liquid hydrogen or deuterium), and a spectrometer or calorimeter system to measure the scattered lepton and the hadronic final state. The SLAC-MIT 8 GeV spectrometer, designed and built at MIT, defined the scattering angle to ±0.15 milliradians and the momentum to ±0.05%, with a lead-lucite shower counter more than 99% efficient for electrons and a gas Cherenkov counter for pion rejection.<sup>[12](https://www.nobelprize.org/uploads/2018/06/taylor-lecture.pdf)</sup> At HERA, H1 used a liquid-argon calorimeter while ZEUS used a uranium–scintillator device.<sup>[5](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)</sup> Event classes are neutral current (\\( ep \\to eX \\)) and charged current (\\( ep \\to \\nu X \\)); NC kinematics use the scattered electron and/or the hadronic final state (electron method and Jacquet–Blondel method), while CC relies on the hadronic final state because the neutrino escapes.<sup>[7](https://indico.cfnssbu.physics.sunysb.edu/event/604/contributions/2313/attachments/1145/1801/BerndSurrow_CFNS_School_2006_Physics_Detector_Part1_WithoutAnimations.pdf)</sup> Global analyses typically impose cuts \\( Q^{2} > 4 \\) GeV² and \\( W > 3.5 \\) GeV to stay in the inelastic continuum rather than the resonance region.<sup>[10](https://indico.cern.ch/event/1005703/contributions/4221944/attachments/2184743/3923506/Schienbein_dis1_2021.pdf)</sup> [Luminosity](https://www.edgepedia.org/luminosity) is measured through the Bethe–Heitler reaction \\( ep \\to e\\gamma p \\), with uncertainties typically about 2%.<sup>[5](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)</sup> At Jefferson Lab, Hall B runs [CLAS12](https://www.edgepedia.org/clas12) at about \\( 10^{35} \\) cm⁻²s⁻¹ with large acceptance, and Hall C provides high-luminosity absolute cross sections.<sup>[13](https://www.jlab.org/exp%5Fprog/proposals/10/PR12-10-010.pdf)</sup>\n\n## Origin\n\n[Inelastic electron scattering](https://www.edgepedia.org/inelastic-electron-scattering) from the proton was carried out at Stanford's HEPL.<sup>[12](https://www.nobelprize.org/uploads/2018/06/taylor-lecture.pdf)</sup> The first experiments on highly inelastic electron scattering were performed at the two-mile SLAC accelerator with liquid hydrogen and later liquid deuterium targets; beam energies up to 21 GeV were then the highest electron energies available.<sup>[4](https://www.nobelprize.org/uploads/2018/06/kendall-lecture-1.pdf)</sup> The key papers, by M. Breidenbach and colleagues and by E. D. Bloom and colleagues, appeared in [Physical Review Letters](https://www.edgepedia.org/physical-review-letters) in 1969; the measured spectra covered 6° and 10° at incident energies of 7–17 GeV.<sup>[14](https://doi.org/10.1103/physrevlett.23.935)</sup> Two phenomena stood out: the inclusive inelastic cross section was larger by more than an order of magnitude than expected and only weakly \\( Q^{2} \\)-dependent, and above \\( W > 2 \\) GeV the structure function became a function of \\( \\omega = 2M\\cdot\\nu/Q^{2} = 1/x_{B} \\) over \\( 0.7 < Q^{2} < 2.3 \\) GeV².<sup>[15](https://s3.cern.ch/inspire-prod-files-f/f697da9c0d7af8685cd9a35a0b46e92d)</sup> It had been conjectured, from current algebra, that \\( F_{2} \\) becomes a function of \\( x \\) alone in the limit of infinite \\( Q^{2} \\) and \\( \\nu \\)<sup>[15](https://s3.cern.ch/inspire-prod-files-f/f697da9c0d7af8685cd9a35a0b46e92d)</sup>; other accounts date the proposal to 1968.<sup>[8](http://scholarpedia.org/article/Bjorken_scaling)</sup> In the parton picture the proton is visualized as granular, with the electron Coulomb-scattering incoherently from pointlike constituents.<sup>[4](https://www.nobelprize.org/uploads/2018/06/kendall-lecture-1.pdf)</sup><sup> • </sup><sup>[16](https://inspirehep.net/files/84bc38121588d5459aa9a5b5d46c8b45)</sup> A field-theoretic derivation of the parton description for deep-inelastic electron scattering was published in 1970 by Sidney D. Drell, Donald J. Levy, and Tung-Mow Yan in [Physical Review D](https://www.edgepedia.org/physical-review-d).<sup>[17](https://doi.org/10.1103/physrevd.1.1035)</sup> The ratio of \\( F_{2} \\) in electron and neutrino scattering on an isoscalar target was measured as \\( 3.4 \\pm 0.7 \\) against the quark-parton prediction of \\( 18/5 \\), the most convincing evidence that nucleons contain fractionally charged quarks as real dynamical entities.<sup>[15](https://s3.cern.ch/inspire-prod-files-f/f697da9c0d7af8685cd9a35a0b46e92d)</sup> The experimental discovery of approximate scaling set off the search for asymptotically free field theories, culminating in the 1973 discovery of asymptotic freedom in QCD.<sup>[8](http://scholarpedia.org/article/Bjorken_scaling)</sup> The MIT-SLAC program was recognized by the 1990 Nobel Prize in Physics.<sup>[4](https://www.nobelprize.org/uploads/2018/06/kendall-lecture-1.pdf)</sup>\n\n## Variants\n\n**Inclusive DIS** measures only the scattered lepton and the total \\( (x, Q^{2}) \\) cross section. **Semi-inclusive DIS (SIDIS)** adds detection of a final-state hadron, introducing the energy fraction \\( z \\); at leading twist the unpolarized SIDIS term contains \\( (1+(1-y)^{2})\\sum_{q} e_{q}^{2}\\cdot f_{1}^{q}(x)\\cdot D_{1}^{q}(z, P_{h\\perp}) \\) plus TMD terms such as the Sivers asymmetry.<sup>[18](https://ar5iv.labs.arxiv.org/html/2403.19794)</sup> Proton-over-deuteron multiplicity ratios from JLab data are nearly \\( z \\)-independent for \\( 0.3 < z < 0.7 \\), showing precocious scaling consistent with leading-order \\( x \\)–\\( z \\) factorization.<sup>[13](https://www.jlab.org/exp%5Fprog/proposals/10/PR12-10-010.pdf)</sup> **Diffractive DIS** (\\( \\gamma^{*}p \\to X + p \\)), about 10% of events, is described by two extra variables \\( x_{\\mathbb{P}} \\) and \\( t \\).<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> **Polarized DIS** measures \\( g_{1} \\); NLO global analyses combining inclusive polarized DIS, flavor-tagged semi-inclusive data, open-charm DIS, and polarized \\( pp \\) at RHIC indicate a positive polarized gluon PDF.<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> **Spectator-tagged deuteron DIS** detects spectators with typical momentum \\( \\lesssim 100 \\) MeV/c in the deuteron rest frame, fixing the nuclear configuration; pole extrapolation in the spectator momentum gives a model-independent extraction of the free neutron structure function, and at the EIC would provide the first collider extraction of \\( F_{2}^{n} \\) with minimal nuclear corrections.<sup>[19](https://link.aps.org/doi/10.1103/PhysRevC.104.065205)</sup><sup> • </sup><sup>[20](https://arxiv.org/pdf/2608.05377)</sup>\n\n## Applications\n\nHERA was the world's only \\( ep \\) collider, running in two phases (HERA I 1992–2000, HERA II 2002–2007) with a 27.5 GeV electron beam and 920 GeV proton beam (\\( \\sqrt{s} \\approx 320 \\) GeV).<sup>[5](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)</sup> The combined H1 and ZEUS inclusive data correspond to about 1 fb⁻¹ and span six orders of magnitude in \\( Q^{2} \\) and \\( x \\); neutral-current cross sections cover \\( 0.045 \\le Q^{2} \\le 50{,}000 \\) GeV² and \\( 6 \\times 10^{-7} \\le x_{Bj} \\le 0.65 \\).<sup>[5](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)</sup> HERA reached \\( Q^{2} \\) up to about \\( 10^{5} \\) GeV² and \\( x \\) down to about \\( 10^{-4} \\), roughly two orders of magnitude beyond earlier fixed-target data.<sup>[11](https://ar5iv.labs.arxiv.org/html/0802.0161)</sup> The combined data feed QCD fits at LO, NLO, and NNLO (HERAPDF2.0, with experimental, model, and parameterization uncertainties), and including jet data allows a simultaneous PDF and \\( \\alpha_{s} \\) determination: \\( \\alpha_{s}(M_{Z}^{2}) = 0.1183 \\pm 0.0009\\,(\\mathrm{exp}) \\pm 0.0005\\,(\\mathrm{model/param}) \\pm 0.0012\\,(\\mathrm{hadronisation})\\,^{+0.0037}_{-0.0030}\\,(\\mathrm{scale}) \\).<sup>[5](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)</sup> The first combined HERA PDF set, HERAPDF1.0, was published in 2010 by F. D. Aaron and colleagues in the [Journal of High Energy Physics](https://www.edgepedia.org/journal-of-high-energy-physics).<sup>[21](https://doi.org/10.1007/jhep01%282010%29109)</sup> About half the current constraint on unpolarized PDFs comes from LHC data, but much still comes from DIS structure functions, and present-day DIS data reach about 1% accuracy.<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup><sup> • </sup><sup>[22](https://arxiv.org/html/2306.01362)</sup> The Electron–Ion Collider is expected to begin science operations at [Brookhaven National Laboratory](https://www.edgepedia.org/brookhaven-national-laboratory) in the mid 2030s; the early-science plan under discussion within ePIC and the EIC project assigns Year 1 to \\( e \\)+Ag at \\( 9 \\times 118 \\) GeV for DIS cross sections and nuclear PDFs, Year 2 to \\( e \\)+D at \\( 9 \\times 130 \\) GeV for free-neutron structure via proton tagging, and Year 3 to \\( e \\)+p at \\( 9 \\times 130 \\) GeV for PDFs, with integrated luminosities of about 0.9, 3.9, and 1 fb⁻¹ respectively.<sup>[6](https://link.aps.org/doi/10.1103/424b-f9q3)</sup><sup> • </sup><sup>[23](https://indico.bnl.gov/event/27198/contributions/107099/attachments/61878/106196/RMa_AUM_2025.pdf)</sup> Even at early luminosities, planned inclusive DIS measurements will constrain the valence up-quark and gluon distributions, with particularly strong improvements for \\( x > 0.3 \\), and inclusive \\( e \\)+A DIS will extend the reach in nuclei down to \\( x \\sim 10^{-3} \\).<sup>[20](https://arxiv.org/pdf/2608.05377)</sup> On the theory side, complete analytical NNLO QCD results for polarized SIDIS were published in 2024, and event generation for neutral and charged current DIS at the EIC at MEPS@NLO accuracy was published in 2025 by Peter Meinzinger, Daniel Reichelt, and Federico Silvetti in Physical Review D.<sup>[24](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.133.211905)</sup><sup> • </sup><sup>[25](https://doi.org/10.1103/1c38-jrb1)</sup>\n\n## Limitations and alternatives\n\nHigher-twist (power) corrections are damped by \\( 1/Q^{(n-2)} \\); with a cut \\( W^{2} > 15 \\) GeV² they are numerically unimportant for \\( Q^{2} \\) above a few GeV², except possibly at very small \\( x \\) and more definitely for \\( x \\) close to 1.<sup>[2](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)</sup> To avoid biases from uncontrolled power corrections, one analysis advises using only data with \\( Q^{2} > 25 \\) GeV² and \\( W^{2} > 12.5 \\) GeV²; at about 1% data accuracy, NNLO corrections are insufficient in the small-\\( x \\) and large-\\( x \\) regions, motivating four-loop splitting functions.<sup>[22](https://arxiv.org/html/2306.01362)</sup> Fitted higher-twist terms act as a catch-all for residual power corrections beyond calculable target-mass corrections, and assuming isospin-independent higher-twist corrections for protons and neutrons introduces a large systematic uncertainty in the large-\\( x \\) \\( d/u \\) ratio.<sup>[26](https://journals.aps.org/prd/abstract/10.1103/PhysRevD.111.094013)</sup> Nuclear targets bring their own effects, divided into shadowing (\\( x \\lesssim 0.1 \\)), anti-shadowing (\\( 0.1 \\lesssim x \\lesssim 0.3 \\)), the [EMC effect](https://www.edgepedia.org/emc-effect) (\\( 0.3 \\lesssim x \\lesssim 0.6 \\)), and Fermi motion (\\( x \\gtrsim 0.6 \\)).<sup>[27](https://www.sciencedirect.com/science/article/abs/pii/S0370157399001076)</sup><sup> • </sup><sup>[28](https://ar5iv.labs.arxiv.org/html/0704.3621)</sup> At the fundamental level, the hadronic tensor \\( W_{\\mu\\nu}(p,q) \\) cannot be calculated in perturbation theory; it parameterizes our ignorance of the nucleon.<sup>[10](https://indico.cern.ch/event/1005703/contributions/4221944/attachments/2184743/3923506/Schienbein_dis1_2021.pdf)</sup> As alternatives, Drell–Yan proceeds through quark–antiquark annihilation and uniquely probes sea-quark distributions, and proton-induced Drell–Yan reaches high \\( x \\) with no nuclear corrections, unlike much high-\\( x \\) DIS data.<sup>[28](https://ar5iv.labs.arxiv.org/html/0704.3621)</sup> Transversity distributions are chirally odd and cannot be probed in inclusive DIS; transversely polarized Drell–Yan offers access.<sup>[28](https://ar5iv.labs.arxiv.org/html/0704.3621)</sup>\n\n## References\n\n1. [The structure of the nucleon from deep inelastic lepton scattering and the nature of the strong interaction (T. Sloan, Nature 323, 405–410, 1986)](https://www.nature.com/articles/323405a0)\n2. [18. Structure Functions (PDG Review of Particle Physics, revised August 2025)](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-structure-functions.pdf)\n3. [Introduction to QCD and Small-x Physics, Lecture 2: Deep Inelastic Scattering (JLab Indico)](https://indico.jlab.org/event/1076/contributions/18781/attachments/14075/22782/lecture2_DIS_part1.pdf)\n4. [Henry W. Kendall Nobel Lecture (1990)](https://www.nobelprize.org/uploads/2018/06/kendall-lecture-1.pdf)\n5. [Combination of measurements of inclusive deep inelastic e±p scattering cross sections and QCD analysis of HERA data (HERAPDF2.0)](http://link.springer.com/article/10.1140/epjc/s10052-015-3710-4)\n6. [Inclusive electron-proton measurement prospects in the Electron-Ion Collider early science stage (Phys. Rev. D)](https://link.aps.org/doi/10.1103/424b-f9q3)\n7. [Physics and Detector Overview at the Electron-Ion Collider (EIC) Part I (CFNS Stony Brook school slides)](https://indico.cfnssbu.physics.sunysb.edu/event/604/contributions/2313/attachments/1145/1801/BerndSurrow_CFNS_School_2006_Physics_Detector_Part1_WithoutAnimations.pdf)\n8. [Bjorken scaling - Scholarpedia](http://scholarpedia.org/article/Bjorken_scaling)\n9. [QCD and Collider Phenomenology, Lecture 1 (Cambridge HEP theory)](https://www.hep.phy.cam.ac.uk/theory/webber/IPMUlect1.pdf)\n10. [Deep Inelastic Scattering (DIS), lecture, CERN Indico (2021)](https://indico.cern.ch/event/1005703/contributions/4221944/attachments/2184743/3923506/Schienbein_dis1_2021.pdf)\n11. [Deep inelastic scattering (DIS) introduced (arXiv:0802.0161)](https://ar5iv.labs.arxiv.org/html/0802.0161)\n12. [Richard E. Taylor Nobel Lecture (1990)](https://www.nobelprize.org/uploads/2018/06/taylor-lecture.pdf)\n13. [A Detailed Study of the Reaction Mechanism in Semi-Inclusive DIS with the CLAS12 Detector (JLab proposal PR12-10-010)](https://www.jlab.org/exp%5Fprog/proposals/10/PR12-10-010.pdf)\n14. [M. Breidenbach and colleagues (1969). Observed Behavior of Highly Inelastic Electron-Proton Scattering. Physical Review Letters.](https://doi.org/10.1103/physrevlett.23.935)\n15. [Introduction to Deep Inelastic Scattering: Past and Present (J. Feltesse, DIS 2012, Bonn)](https://s3.cern.ch/inspire-prod-files-f/f697da9c0d7af8685cd9a35a0b46e92d)\n16. [J. D. Bjorken, theoretical analysis of the MIT-SLAC inelastic electron-proton data](https://inspirehep.net/files/84bc38121588d5459aa9a5b5d46c8b45)\n17. [Sidney D. Drell, Donald J. Levy, Tung-Mow Yan (1970). Theory of Deep-Inelastic Lepton-Nucleon Scattering and Lepton Pair Annihilation Processes. II. Deep-Inelastic Electron Scattering. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields.](https://doi.org/10.1103/physrevd.1.1035)\n18. [Perspectives of Semi-Inclusive Deep-Inelastic Scattering (arXiv:2403.19794)](https://ar5iv.labs.arxiv.org/html/2403.19794)\n19. [Deep-inelastic electron-deuteron scattering with spectator nucleon tagging at the future Electron Ion Collider](https://link.aps.org/doi/10.1103/PhysRevC.104.065205)\n20. [ePIC Early Science Report](https://arxiv.org/pdf/2608.05377)\n21. [Combined measurement and QCD analysis of the inclusive e ± p scattering cross sections at HERA (Journal of High Energy Physics, 2010)](https://doi.org/10.1007/jhep01%282010%29109)\n22. [Deep-Inelastic Scattering: What do we know? (arXiv:2306.01362)](https://arxiv.org/html/2306.01362)\n23. [Report on EIC Early Science Workshop (ePIC), May 2025](https://indico.bnl.gov/event/27198/contributions/107099/attachments/61878/106196/RMa_AUM_2025.pdf)\n24. [Next-to-Next-to-Leading Order QCD Corrections to Polarized Semi-Inclusive Deep-Inelastic Scattering (Phys. Rev. Lett. 133, 211905, 2024)](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.133.211905)\n25. [Peter Meinzinger, Daniel Reichelt, Federico Silvetti (2025). Event generation at MEPS@NLO accuracy in neutral and charged current DIS at the EIC. Physical review. D/Physical review. D..](https://doi.org/10.1103/1c38-jrb1)\n26. [Systematic uncertainties from higher-twist corrections in DIS at large x (Phys. Rev. D 111, 094013, 2025)](https://journals.aps.org/prd/abstract/10.1103/PhysRevD.111.094013)\n27. [Nuclear deep-inelastic lepton scattering and coherence phenomena (Physics Reports)](https://www.sciencedirect.com/science/article/abs/pii/S0370157399001076)\n28. [Exploring the Partonic Structure of Hadrons through the Drell-Yan Process (arXiv:0704.3621)](https://ar5iv.labs.arxiv.org/html/0704.3621)\n\n---\n*Topic: Encyclopedia › Physical world and mathematics › Physics › Particles and nuclei › Accelerators and experimental particle physics › Experimental particle physics methods*\n\n*Initially written Sep 29, 2026 · Edited: Oct 15, 2026*\n\n*Copyright 2026 EdgeChat AI, a subsidiary of Biostate AI.*\n\nLicense: Edgepedia Community License 1.0, https://www.edgepedia.org/edgepedia/license\n",
 "same_as": [],
 "url": "https://www.edgepedia.org/deep-inelastic-scattering",
 "markdown_url": "https://www.edgepedia.org/deep-inelastic-scattering.md",
 "license": {
  "name": "Edgepedia Community License 1.0",
  "url": "https://www.edgepedia.org/edgepedia/license",
  "summary": "Free with credit, commercial use included. AI training is open to everyone. For other uses, organizations over USD 100M in revenue or 100M monthly users license separately.",
  "spdx": "LicenseRef-Edgepedia-Community-1.0"
 },
 "credit": "\"Deep inelastic scattering\", Edgepedia (EdgeChat), https://www.edgepedia.org/deep-inelastic-scattering. Edgepedia Community License 1.0.",
 "credit_md": "\"[Deep inelastic scattering](https://www.edgepedia.org/deep-inelastic-scattering)\", Edgepedia (EdgeChat), [https://www.edgepedia.org/deep-inelastic-scattering](https://www.edgepedia.org/deep-inelastic-scattering). [Edgepedia Community License 1.0](https://www.edgepedia.org/edgepedia/license).",
 "credit_html": "\"<a href=\"https://www.edgepedia.org/deep-inelastic-scattering\">Deep inelastic scattering</a>\", Edgepedia (EdgeChat), <a href=\"https://www.edgepedia.org/deep-inelastic-scattering\">https://www.edgepedia.org/deep-inelastic-scattering</a>. <a href=\"https://www.edgepedia.org/edgepedia/license\">Edgepedia Community License 1.0</a>.",
 "speakable": "Deep inelastic scattering is a particle physics technique in which high-energy leptons scatter off nucleons to probe their quarks and gluons, first observed at SLAC in the late 1960s."
}
