# Inclusive production through AdS/CFT

## Abstract

It has been shown that AdS/CFT calculations can reproduce certain exclusive 2→2 cross sections in QCD at high energy, both for near-forward and for fixed-angle scattering. In this paper, we extend prior treatments by using AdS/CFT to calculate the inclusive single-particle production cross section in QCD at high center-of-mass energy. We find that conformal invariance in the UV restricts the cross section to have a characteristic power-law falloff in the transverse momentum of the produced particle, with the exponent given by twice the conformal dimension of the produced particle, independent of incoming particle types. Furthermore, we conclude by comparing our findings to recent LHC experimental data from ATLAS and ALICE, and find good agreement.

- Authors:

- Brown Univ., Providence, RI (United States). Dept of Physics; Stanford Univ., Stanford, CA (United States). Dept. of Physics
- Brown Univ., Providence, RI (United States). Dept. of Physics; Univ. of Kansas, Lawrence, KS (United States). Dept. of Physics and Astronomy
- Brown Univ., Providence, RI (United States). Dept of Physics

- Publication Date:

- Research Org.:
- Brown Univ., Providence, RI (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1502141

- Grant/Contract Number:
- [SC0010010]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- [Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11]; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Strings and branes phenomenology; QCD Phenomenology

### Citation Formats

```
Nally, Richard, Raben, Timothy, and Tan, Chung-I. Inclusive production through AdS/CFT. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)075.
```

```
Nally, Richard, Raben, Timothy, & Tan, Chung-I. Inclusive production through AdS/CFT. United States. doi:10.1007/jhep11(2017)075.
```

```
Nally, Richard, Raben, Timothy, and Tan, Chung-I. Tue .
"Inclusive production through AdS/CFT". United States. doi:10.1007/jhep11(2017)075. https://www.osti.gov/servlets/purl/1502141.
```

```
@article{osti_1502141,
```

title = {Inclusive production through AdS/CFT},

author = {Nally, Richard and Raben, Timothy and Tan, Chung-I},

abstractNote = {It has been shown that AdS/CFT calculations can reproduce certain exclusive 2→2 cross sections in QCD at high energy, both for near-forward and for fixed-angle scattering. In this paper, we extend prior treatments by using AdS/CFT to calculate the inclusive single-particle production cross section in QCD at high center-of-mass energy. We find that conformal invariance in the UV restricts the cross section to have a characteristic power-law falloff in the transverse momentum of the produced particle, with the exponent given by twice the conformal dimension of the produced particle, independent of incoming particle types. Furthermore, we conclude by comparing our findings to recent LHC experimental data from ATLAS and ALICE, and find good agreement.},

doi = {10.1007/jhep11(2017)075},

journal = {Journal of High Energy Physics (Online)},

number = [11],

volume = [2017],

place = {United States},

year = {2017},

month = {11}

}

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Works referenced in this record:

##
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories

journal, January 1998

- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 3

##
Exploring improved holographic theories for QCD: part II

journal, February 2008

- Gürsoy, U.; Kiritsis, E.; Nitti, F.
- Journal of High Energy Physics, Vol. 2008, Issue 02

##
From correlation functions to event shapes

journal, July 2014

- Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P.
- Nuclear Physics B, Vol. 884

##
Low Energy Hadron Physics in Holographic QCD

journal, April 2005

- Sakai, T.; Sugimoto, S.
- Progress of Theoretical Physics, Vol. 113, Issue 4

##
Scaling Laws at Large Transverse Momentum

journal, October 1973

- Brodsky, Stanley J.; Farrar, Glennys R.
- Physical Review Letters, Vol. 31, Issue 18

##
Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang–Mills model

journal, August 2004

- Kotikov, A. V.; Lipatov, L. N.; Onishchenko, A. I.
- Physics Letters B, Vol. 595, Issue 1-4

##
Conformal Regge theory

journal, December 2012

- Costa, Miguel S.; Goncalves, Vasco; Penedones, João
- Journal of High Energy Physics, Vol. 2012, Issue 12

##
Gauge theory correlators from non-critical string theory

journal, May 1998

- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 428, Issue 1-2

##
Geometric scaling in diffractive deep inelastic scattering

journal, August 2006

- Marquet, C.; Schoeffel, L.
- Physics Letters B, Vol. 639, Issue 5

##
Small-x physics in perturbative QCD

journal, July 1997

- Lipatov, L. N.
- Physics Reports, Vol. 286, Issue 3

##
Hadronic Spectrum of a Holographic Dual of QCD

journal, May 2005

- de Téramond, Guy F.; Brodsky, Stanley J.
- Physical Review Letters, Vol. 94, Issue 20

##
Ultraviolet Behavior of Non-Abelian Gauge Theories

journal, June 1973

- Gross, David J.; Wilczek, Frank
- Physical Review Letters, Vol. 30, Issue 26

##
Reliable Perturbative Results for Strong Interactions?

journal, June 1973

- Politzer, H. David
- Physical Review Letters, Vol. 30, Issue 26

##
Event shapes in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super-Yang–Mills theory

journal, July 2014

- Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P.
- Nuclear Physics B, Vol. 884

##
Thermal hadronization and Hawking–Unruh radiation in QCD

journal, July 2007

- Castorina, P.; Kharzeev, D.; Satz, H.
- The European Physical Journal C, Vol. 52, Issue 1

##
Hard scattering in the M-theory dual for the QCD string

journal, July 2003

- Brower, Richard C.; Tan, Chung-I
- Nuclear Physics B, Vol. 662, Issue 1-2

##
Anti de Sitter space and holography

journal, January 1998

- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2

##
On The Pomeron at Large 't Hooft Coupling

journal, March 2009

- Brower, R. C.; Strassler, M. J.; Tan, C. -I
- Journal of High Energy Physics, Vol. 2009, Issue 03

##
Energy-Energy Correlations in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory

journal, February 2014

- Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P.
- Physical Review Letters, Vol. 112, Issue 7

##
On the Eikonal approximation in AdS space

journal, March 2009

- Brower, Richard C.; Strassler, Matthew J.; Tan, Chung-I
- Journal of High Energy Physics, Vol. 2009, Issue 03

##
Hypothesis of Limiting Fragmentation in High-Energy Collisions

journal, December 1969

- Benecke, J.; Chou, T. T.; Yang, C. N.
- Physical Review, Vol. 188, Issue 5

##
Dual-Amplitude Analysis of Two-Particle Productions

journal, August 1971

- Jen, Chian-li; Kang, Kyungsik; Shen, Pu
- Physical Review Letters, Vol. 27, Issue 7

##
Eikonal approximation in AdS/CFT: Conformal partial waves and finite N four-point functions

journal, April 2007

- Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João
- Nuclear Physics B, Vol. 767, Issue 3

##
Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling

journal, June 2008

- Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João
- Journal of High Energy Physics, Vol. 2008, Issue 06

##
The high-energy behavior of string scattering amplitudes

journal, October 1987

- Gross, David J.; Mende, Paul F.
- Physics Letters B, Vol. 197, Issue 1-2

##
Diffractive Higgs production by AdS Pomeron fusion

journal, September 2012

- Brower, Richard C.; Djurić, Marko; Tan, Chung-I
- Journal of High Energy Physics, Vol. 2012, Issue 9

##
Large N field theories, string theory and gravity

journal, January 2000

- Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan
- Physics Reports, Vol. 323, Issue 3-4

##
Heavy-quark potentials and AdS/QCD

journal, July 2006

- Andreev, Oleg; Zakharov, Valentin I.
- Physical Review D, Vol. 74, Issue 2

##
Conformal collider physics: energy and charge correlations

journal, May 2008

- Hofman, Diego M.; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2008, Issue 05

##
Glueball mass spectrum from supergravity

journal, January 1999

- Csáki, Csaba; Ooguri, Hirosi; Oz, Yaron
- Journal of High Energy Physics, Vol. 1999, Issue 01

##
Deep inelastic scattering in conformal QCD

journal, March 2010

- Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João
- Journal of High Energy Physics, Vol. 2010, Issue 3

##
Mesons in gauge/gravity duals

journal, January 2008

- Erdmenger, J.; Evans, N.; Kirsch, I.
- The European Physical Journal A, Vol. 35, Issue 1

##
Automodellism in the large-angle elastic scattering and structure of hadrons

journal, August 1973

- Matveev, V. A.; Muradyan, R. M.; Tavkhelidze, A. N.
- Lettere Al Nuovo Cimento Series 2, Vol. 7, Issue 15

##
Holographic double diffraction of Higgs and the AdS/CFT graviton/Pomeron

journal, November 2014

- Brower, Richard; Djuric, Marko; Tan, Chung-I.
- International Journal of Modern Physics A, Vol. 29, Issue 28

##
Confinement in anti-de Sitter space

journal, February 2013

- Aharony, Ofer; Berkooz, Micha; Tong, David
- Journal of High Energy Physics, Vol. 2013, Issue 2

##
Holography and thermodynamics of 5D dilaton-gravity

journal, May 2009

- Gürsoy, U.; Kiritsis, E.; Mazzanti, L.
- Journal of High Energy Physics, Vol. 2009, Issue 05

##
Predictions on the transverse momentum spectra for charged particle production at LHC-energies from a two component model

journal, April 2015

- Bylinkin, A. A.; Chernyavskaya, N. S.; Rostovtsev, A. A.
- The European Physical Journal C, Vol. 75, Issue 4

##
Universal effective hadron dynamics from superconformal algebra

journal, August 2016

- Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
- Physics Letters B, Vol. 759

##
Vector meson production at low x from gauge/gravity duality

journal, September 2013

- Costa, Miguel S.; Djurić, Marko; Evans, Nick
- Journal of High Energy Physics, Vol. 2013, Issue 9

##
SMALL-χ PHYSICS: From HERA to LHC and Beyond

journal, December 2005

- Frankfurt, Leonid; Strikman, Mark; Weiss, Christian
- Annual Review of Nuclear and Particle Science, Vol. 55, Issue 1

##
Strong coupling expansion for the conformal Pomeron/Odderon trajectories

journal, February 2015

- Brower, Richard C.; Costa, Miguel S.; Djurić, Marko
- Journal of High Energy Physics, Vol. 2015, Issue 2

##
Particle production in the double dual pomeron region

journal, July 1979

- Clavelli, L.
- Nuclear Physics B, Vol. 154, Issue 1

##
Wilson Loops in Large $\mathit{N}$ Field Theories

journal, June 1998

- Maldacena, Juan
- Physical Review Letters, Vol. 80, Issue 22

##
Exploring improved holographic theories for QCD: part I

journal, February 2008

- Gürsoy, U.; Kiritsis, E.
- Journal of High Energy Physics, Vol. 2008, Issue 02

##
A Regge cut model for high p⊥ behavior

journal, January 1977

- Ader, J. P.; Clavelli, L.
- Physics Letters B, Vol. 66, Issue 1

##
Eikonal approximation in AdS/CFT: from shock waves to four-point functions

journal, August 2007

- Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João
- Journal of High Energy Physics, Vol. 2007, Issue 08

##
Hard to Soft Pomeron Transition in Small- $x$ Deep Inelastic Scattering Data Using Optimal Renormalization

journal, January 2013

- Hentschinski, Martin; Vera, Agustín Sabio; Salas, Clara
- Physical Review Letters, Vol. 110, Issue 4

##
Hawking-Unruh phenomenon in the parton language

journal, July 2006

- Kharzeev, D.
- The European Physical Journal A, Vol. 29, Issue 1

##
Super-Yang–Mills theory, QCD and collider physics

journal, November 2004

- Bern, Zvi; Dixon, Lance J.; Kosower, David A.
- Comptes Rendus Physique, Vol. 5, Issue 9-10

##
Very High-Energy Collisions of Hadrons

journal, December 1969

- Feynman, Richard P.
- Physical Review Letters, Vol. 23, Issue 24

##
The Uses of conformal symmetry in QCD

journal, January 2003

- Braun, V. M.; Korchemsky, G. P.; Müller, D.
- Progress in Particle and Nuclear Physics, Vol. 51, Issue 2

##
Glueball decay rates in the Witten-Sakai-Sugimoto model

journal, May 2015

- Brünner, Frederic; Parganlija, Denis; Rebhan, Anton
- Physical Review D, Vol. 91, Issue 10

##
Glueballs and their Kaluza-Klein cousins

journal, October 1998

- Ooguri, Hirosi; Robins, Harlan; Tannenhauser, Jonathan
- Physics Letters B, Vol. 437, Issue 1-2

##
Holographic double diffractive scattering

journal, August 2008

- Herzog, Christopher P.; Paik, Steve; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 2008, Issue 08

##
Factorization of discontinuities of multi-Regge amplitudes

journal, March 1974

- Weis, J. H.
- Nuclear Physics B, Vol. 71, Issue 2

##
A tetraquark or not a tetraquark? A holography inspired stringy hadron (HISH) perspective

journal, July 2017

- Sonnenschein, Jacob; Weissman, Dorin
- Nuclear Physics B, Vol. 920

##
Hard Scattering and Gauge/String Duality

journal, January 2002

- Polchinski, Joseph; Strassler, Matthew J.
- Physical Review Letters, Vol. 88, Issue 3

##
Looking for a bulk point

journal, January 2017

- Maldacena, Juan; Simmons-Duffin, David; Zhiboedov, Alexander
- Journal of High Energy Physics, Vol. 2017, Issue 1

##
Multiparticle production and thermalization in high-energy QCD

journal, April 2007

- Kharzeev, Dmitri; Levin, Eugene; Tuchin, Kirill
- Physical Review C, Vol. 75, Issue 4

##
A semi-classical limit of the gauge/string correspondence

journal, August 2002

- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Nuclear Physics B, Vol. 636, Issue 1-2

##
Linear confinement and AdS/QCD

journal, July 2006

- Karch, Andreas; Katz, Emanuel; Son, Dam T.
- Physical Review D, Vol. 74, Issue 1

##
String-gauge dual description of deep inelastic scattering at small-x

journal, November 2010

- Brower, Richard C.; Djurić, Marko; Sarčević, Ina
- Journal of High Energy Physics, Vol. 2010, Issue 11

##
Deep inelastic scattering and gauge/string duality

journal, May 2003

- Polchinski, Joseph; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 2003, Issue 05

##
Scaling properties of high <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>p</mml:mi><mml:mi>T</mml:mi></mml:msub></mml:math> inclusive hadron production

journal, June 2006

- Brodsky, S. J.; Pirner, H. J.; Raufeisen, J.
- Physics Letters B, Vol. 637, Issue 1-2

##
Inclusive processes at high transverse momentum

journal, December 1972

- Blankenbecler, R.; Brodsky, S. J.; Gunion, J. F.
- Physics Letters B, Vol. 42, Issue 4

##
Transverse momentum dependence of inclusive primary charged-particle production in p–Pb collisions at $$\sqrt{s_\mathrm{{NN}}}=5.02~\text {TeV}$$ s NN = 5.02 TeV

journal, September 2014

- Abelev, B.; Adam, J.; Adamová, D.
- The European Physical Journal C, Vol. 74, Issue 9

##
Charged-particle distributions in pp interactions at $$\sqrt{s}=8 \mathrm {\, TeV}$$ s = 8 TeV measured with the ATLAS detector

journal, July 2016

- Aad, G.; Abbott, B.; Abdallah, J.
- The European Physical Journal C, Vol. 76, Issue 7

##
Charged-particle distributions in $\sqrt{s}=13\text{TeV}$ pp interactions measured with the ATLAS detector at the LHC

journal, July 2016

- Aad, G.; Abbott, B.; Abdallah, J.
- Physics Letters B, Vol. 758

##
Jets from Quantum Chromodynamics

journal, December 1977

- Sterman, George; Weinberg, Steven
- Physical Review Letters, Vol. 39, Issue 23

##
The Pomeron and gauge/string duality

journal, December 2007

- Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 2007, Issue 12

##
Holographic Glueball Decay

journal, January 2014

- Brünner, F.; Parganlija, D.; Rebhan, A.
- Acta Physica Polonica B Proceedings Supplement, Vol. 7, Issue 3

##
Pomeron and the reggeized glueball/sigma

journal, July 2000

- Kisslinger, Leonard S.; Ma, Wei-hsing
- Physics Letters B, Vol. 485, Issue 4