Multiple parton scattering and modified fragmentation functions in medium
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Multiple Parton Scattering and Modified Fragmentation Functions in medium. Wei-Tian Deng Shandong University Xin-Nian Wang LBNL & Shandong University. Outline. Introduction Shower parton distributions and energy loss in “Brick” Modified fragmentation function in DIS Summary and outlook.

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Multiple parton scattering and modified fragmentation functions in medium

Multiple Parton Scattering and Modified Fragmentation Functions in medium

Wei-Tian Deng

Shandong University

Xin-Nian Wang

LBNL & Shandong University


Outline
Outline Functions in medium

  • Introduction

  • Shower parton distributions and energy loss in “Brick”

  • Modified fragmentation function in DIS

  • Summary and outlook


Introduction medium modified dglap
Introduction: Functions in mediumMedium-Modified DGLAP


Medium induced gluon radiation
Medium Induced Gluon Radiation Functions in medium

Hard parton travel through QCD medium

Suffer multiple parton scattering

The accepted explanation for Jet Quenching observed in RHIC

Induced gluon radiation

Reduce the energy and virtuality


Modified ff due to double parton scattering

Modification to splitting function for quark: Functions in medium

Quark-gluon correlation distribution:

The generalized transport parameter

Modified FF due to Double Parton Scattering

Modification to FF:

X. F. Guo and X. N. Wang

Phys. Rev. Lett. 85, 3591(2000)

B. W. Zhang and X. N. Wang

Nucl. Phys. A 720, 429 (2003)


Modification to splitting function for gluon: Functions in medium

Medium-modified splitting function:

Resum Multiple scattering and induced gluon radiations.

numerically

medium-modified DGLAP (mDGLAP)

B. W. Zhang and X. N. Wang

Nucl. Phys. A 720, 429 (2003)


Initial conditions

HKN parameterization Functions in medium

Initial Conditions


In uniform finite medium the brick problem
in Uniform Finite Medium Functions in medium(the “Brick” Problem)


Test of this method momentum sum rule
Test of This Method: Momentum Sum Rule Functions in medium

The violation of the sum rule:

The sum-rule is satisfied well



Gluon Functions in medium distribution in the shower of a Quark jet

Sea quark distribution in the shower of a Quark jet


Quark (antiquark) Functions in medium distribution in the shower of a Gluon jet


Gluon Functions in medium distribution in the shower of a Gluon jet

Valence Quark distribution in the shower of a Quark jet


From Ideal “Brick” to Functions in medium

Realistic Nuclear Medium


Averaged mff in dis
Averaged mFF in DIS Functions in medium


Summary and outlook
Summary and Outlook Functions in medium

  • Multiple parton scattering mDGLAP

  • The shower parton distribution function in uniform finite medium.

  • Modification factor in DIS.


Cooperate with Ning-Bo Chang


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