Parton distributions and lattice QCD calculations: A community white paper

Huey Wen Lin; Emanuele R. Nocera; Fred Olness; Kostas Orginos; Juan Rojo; Alberto Accardi; Constantia Alexandrou; Alessandro Bacchetta; Giuseppe Bozzi; Jiunn Wei Chen; Sara Collins; Amanda Cooper-Sarkar; Martha Constantinou; Luigi Del Debbio; Michael Engelhardt; Jeremy Green; Rajan Gupta; Lucian A. Harland-Lang; Tomomi Ishikawa; Aleksander Kusina; Keh Fei Liu; Simonetta Liuti; Christopher Monahan; Pavel Nadolsky; Jian Wei Qiu; Ingo Schienbein; Gerrit Schierholz; Robert S. Thorne; Werner Vogelsang; Hartmut Wittig; C. P. Yuan; James Zanotti

doi:10.1016/j.ppnp.2018.01.007

Parton distributions and lattice QCD calculations: A community white paper

Huey Wen Lin, Emanuele R. Nocera, Fred Olness, Kostas Orginos, Juan Rojo, Alberto Accardi, Constantia Alexandrou, Alessandro Bacchetta, Giuseppe Bozzi, Jiunn Wei Chen, Sara Collins, Amanda Cooper-Sarkar, Martha Constantinou, Luigi Del Debbio, Michael Engelhardt, Jeremy Green, Rajan Gupta, Lucian A. Harland-Lang, Tomomi Ishikawa, Aleksander KusinaKeh Fei Liu, Simonetta Liuti, Christopher Monahan, Pavel Nadolsky, Jian Wei Qiu, Ingo Schienbein, Gerrit Schierholz, Robert S. Thorne, Werner Vogelsang, Hartmut Wittig, C. P. Yuan, James Zanotti

School of Physics and Astronomy

Research output: Contribution to journal › Review article › peer-review

Abstract

In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a QCD analysis of a suitable set of hard-scattering measurements, often using a variety of hadronic observables. The second approach, based on first-principle operator definitions of PDFs, uses lattice QCD to compute directly some PDF-related quantities, such as their moments. Motivated by recent progress in both approaches, in this document we present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments. We provide benchmark numbers to validate present and future lattice-QCD calculations and we illustrate how they could be used to reduce the PDF uncertainties in current unpolarized and polarized global analyses. This document represents a first step towards establishing a common language between the two communities, to foster dialogue and to further improve our knowledge of PDFs.

Original language	English
Pages (from-to)	107-160
Number of pages	54
Journal	Progress in Particle and Nuclear Physics
Volume	100
DOIs	https://doi.org/10.1016/j.ppnp.2018.01.007
Publication status	Published - 1 May 2018

Keywords

Global QCD fits
Lattice QCD
Unpolarized/polarized parton distribution functions (PDFs)

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Luigi Del Debbio
- luigi.del.debbio@ed.ac.uk
- School of Physics and Astronomy - Personal Chair in Theoretical High Energy Physics
Person: Academic: Research Active

Cite this

Lin, H. W., Nocera, E. R., Olness, F., Orginos, K., Rojo, J., Accardi, A., Alexandrou, C., Bacchetta, A., Bozzi, G., Chen, J. W., Collins, S., Cooper-Sarkar, A., Constantinou, M., Del Debbio, L., Engelhardt, M., Green, J., Gupta, R., Harland-Lang, L. A., Ishikawa, T., ... Zanotti, J. (2018). Parton distributions and lattice QCD calculations: A community white paper. Progress in Particle and Nuclear Physics, 100, 107-160. https://doi.org/10.1016/j.ppnp.2018.01.007

Lin, Huey Wen ; Nocera, Emanuele R. ; Olness, Fred ; Orginos, Kostas ; Rojo, Juan ; Accardi, Alberto ; Alexandrou, Constantia ; Bacchetta, Alessandro ; Bozzi, Giuseppe ; Chen, Jiunn Wei ; Collins, Sara ; Cooper-Sarkar, Amanda ; Constantinou, Martha ; Del Debbio, Luigi ; Engelhardt, Michael ; Green, Jeremy ; Gupta, Rajan ; Harland-Lang, Lucian A. ; Ishikawa, Tomomi ; Kusina, Aleksander ; Liu, Keh Fei ; Liuti, Simonetta ; Monahan, Christopher ; Nadolsky, Pavel ; Qiu, Jian Wei ; Schienbein, Ingo ; Schierholz, Gerrit ; Thorne, Robert S. ; Vogelsang, Werner ; Wittig, Hartmut ; Yuan, C. P. ; Zanotti, James. / Parton distributions and lattice QCD calculations : A community white paper. In: Progress in Particle and Nuclear Physics. 2018 ; Vol. 100. pp. 107-160.

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title = "Parton distributions and lattice QCD calculations: A community white paper",

abstract = "In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a QCD analysis of a suitable set of hard-scattering measurements, often using a variety of hadronic observables. The second approach, based on first-principle operator definitions of PDFs, uses lattice QCD to compute directly some PDF-related quantities, such as their moments. Motivated by recent progress in both approaches, in this document we present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments. We provide benchmark numbers to validate present and future lattice-QCD calculations and we illustrate how they could be used to reduce the PDF uncertainties in current unpolarized and polarized global analyses. This document represents a first step towards establishing a common language between the two communities, to foster dialogue and to further improve our knowledge of PDFs.",

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Lin, HW, Nocera, ER, Olness, F, Orginos, K, Rojo, J, Accardi, A, Alexandrou, C, Bacchetta, A, Bozzi, G, Chen, JW, Collins, S, Cooper-Sarkar, A, Constantinou, M, Del Debbio, L, Engelhardt, M, Green, J, Gupta, R, Harland-Lang, LA, Ishikawa, T, Kusina, A, Liu, KF, Liuti, S, Monahan, C, Nadolsky, P, Qiu, JW, Schienbein, I, Schierholz, G, Thorne, RS, Vogelsang, W, Wittig, H, Yuan, CP & Zanotti, J 2018, 'Parton distributions and lattice QCD calculations: A community white paper', Progress in Particle and Nuclear Physics, vol. 100, pp. 107-160. https://doi.org/10.1016/j.ppnp.2018.01.007

Parton distributions and lattice QCD calculations : A community white paper. / Lin, Huey Wen; Nocera, Emanuele R.; Olness, Fred; Orginos, Kostas; Rojo, Juan; Accardi, Alberto; Alexandrou, Constantia; Bacchetta, Alessandro; Bozzi, Giuseppe; Chen, Jiunn Wei; Collins, Sara; Cooper-Sarkar, Amanda; Constantinou, Martha; Del Debbio, Luigi; Engelhardt, Michael; Green, Jeremy; Gupta, Rajan; Harland-Lang, Lucian A.; Ishikawa, Tomomi; Kusina, Aleksander; Liu, Keh Fei; Liuti, Simonetta; Monahan, Christopher; Nadolsky, Pavel; Qiu, Jian Wei; Schienbein, Ingo; Schierholz, Gerrit; Thorne, Robert S.; Vogelsang, Werner; Wittig, Hartmut; Yuan, C. P.; Zanotti, James.

In: Progress in Particle and Nuclear Physics, Vol. 100, 01.05.2018, p. 107-160.

Research output: Contribution to journal › Review article › peer-review

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T1 - Parton distributions and lattice QCD calculations

T2 - A community white paper

AU - Lin, Huey Wen

AU - Nocera, Emanuele R.

AU - Olness, Fred

AU - Orginos, Kostas

AU - Rojo, Juan

AU - Accardi, Alberto

AU - Alexandrou, Constantia

AU - Bacchetta, Alessandro

AU - Bozzi, Giuseppe

AU - Chen, Jiunn Wei

AU - Collins, Sara

AU - Cooper-Sarkar, Amanda

AU - Constantinou, Martha

AU - Del Debbio, Luigi

AU - Engelhardt, Michael

AU - Green, Jeremy

AU - Gupta, Rajan

AU - Harland-Lang, Lucian A.

AU - Ishikawa, Tomomi

AU - Kusina, Aleksander

AU - Liu, Keh Fei

AU - Liuti, Simonetta

AU - Monahan, Christopher

AU - Nadolsky, Pavel

AU - Qiu, Jian Wei

AU - Schienbein, Ingo

AU - Schierholz, Gerrit

AU - Thorne, Robert S.

AU - Vogelsang, Werner

AU - Wittig, Hartmut

AU - Yuan, C. P.

AU - Zanotti, James

PY - 2018/5/1

Y1 - 2018/5/1

N2 - In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a QCD analysis of a suitable set of hard-scattering measurements, often using a variety of hadronic observables. The second approach, based on first-principle operator definitions of PDFs, uses lattice QCD to compute directly some PDF-related quantities, such as their moments. Motivated by recent progress in both approaches, in this document we present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments. We provide benchmark numbers to validate present and future lattice-QCD calculations and we illustrate how they could be used to reduce the PDF uncertainties in current unpolarized and polarized global analyses. This document represents a first step towards establishing a common language between the two communities, to foster dialogue and to further improve our knowledge of PDFs.

AB - In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a QCD analysis of a suitable set of hard-scattering measurements, often using a variety of hadronic observables. The second approach, based on first-principle operator definitions of PDFs, uses lattice QCD to compute directly some PDF-related quantities, such as their moments. Motivated by recent progress in both approaches, in this document we present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments. We provide benchmark numbers to validate present and future lattice-QCD calculations and we illustrate how they could be used to reduce the PDF uncertainties in current unpolarized and polarized global analyses. This document represents a first step towards establishing a common language between the two communities, to foster dialogue and to further improve our knowledge of PDFs.

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