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### Thomas C. Mehen, Professor of Physics

Prof.~Thomas Mehen works primarily on Quantum Chromodynamics (QCD) and the application of effective field theory (EFT) to problems in hadronic physics. EFTs rely on three key ideas: i) identifying the relevant degrees of freedom for a specific physical process; ii) using symmetries of QCD to simplify or constrain the form of interactions; and iii) finding small parameters, either small coupling constants or ratios of disparate mass scales, which can be used to formulate systematic perturbative calculations of observables.

Much of Mehen's research involves hadrons containing one or more heavy quarks. A long standing problem in QCD is understanding the production mechanism of heavy quarkonium (bound states of heavy quarks and antiquarks) in collider experiments. Mehen has worked on this problem throughout his career. Recently he and his collaborators proposed new tests of quarkonium production theory involving quarkonium produced within jets which motivated experimental measurements by colleagues at the Large Hadron Collider (LHC). Another important area of research is exotic quarkonium. Since 2003, particle and nuclear physics experiments around the world have discovered dozens of unusual particles that do not fit in to the conventional picture of quarkonium as a nonrelativistic bound state of heavy quark and antiquark. Some of these so-called XYZ mesons are thought to be molecular bound states of heavy mesons. Mehen has invented EFTs for these particles that are widely used to predict the properties of these mesons and interpret experimental data.

Mehen played a role in developing the Soft Collinear Effective Theory (SCET) which is an EFT suitable for processes in which there are one or more highly energetic quarks or gluons. This theory is now widely used in the study of energetic jets of particles produced at the LHC and other collider experiments. Mehen has been a leader in applying SCET to quarkonium production in colliders. He is also an expert on EFTs for strongly interacting systems with shallow two-body bound states and/or large scattering lengths, and has applied these EFTs to a wide variety of physical systems: low energy two- and three-body nuclear physics, the XYZ mesons, cold trapped atoms, and strongly interacting nuclei embedded in a QED plasma, which is potentially relevant for astrophysics and cosmology. In his research, Mehen frequently applies heavy hadron chiral perturbation theory (HH$\chi$PT), which combines the heavy quark and chiral symmetries of QCD and is used to study the low energy behavior of heavy hadrons. Mehen and his student invented a version of HH$\chi$PT suitable for baryons and tetraquarks with two heavy quarks for the purpose of studying the doubly charm baryon recently discovered at the LHC and related states.

Some Prof. Mehen's work crosses over into other areas of physics. For example, techniques developed for nuclear physics have been used to calculate three-body corrections to the energy density of a Bose-Einstein condensate whose atoms have large scattering lengths. Prof. Mehen has also worked on novel field theories which arise from unusual limits of string theory. Examples include noncommutative field theories and theories of tachyonic modes on non-BPS branes.

Office Location: | 249 Physics Bldg, Durham, NC 27708 |

Office Phone: | (919) 660-2555 |

Email Address: | |

Web Page: | http://www.phy.duke.edu/~mehen |

**Teaching (Spring 2018):**

- PHYSICS 762.01,
*ELECTRODYNAMICS*Synopsis- LSRC D243, MF 11:45 AM-01:00 PM

**Education:**Ph.D. Johns Hopkins University 1998 Ph.D. Johns Hopkins University 1997 M.A. Johns Hopkins University 1997 B.S. University of Virginia 1992

**Specialties:**-
Theoretical particle physics and string theory

Theoretical nuclear physics

**Research Interests:***Theoretical Nuclear and Particle Physics*Prof. Thomas Mehen works primarily on Quantum Chromodynamics (QCD) and the application of effective field theory to problems in hadronic physics. Effective field theories exploit the symmetries of hadrons to make model independent predictions when the dynamics of these hadrons are too hard to solve explicitly. For example, the properties of a hadron containing a very heavy quark are insensitive to the orientation of the heavy quark spin. Prof. Mehen has used this heavy quark spin symmetry to make predictions for the production and decay of heavy mesons and quarkonia at collider experiments. Another example is the chiral symmetry of QCD which is a consequence of the lightness of the up and down quarks. The implications of this symmetry for the force between nucleons is a subject of Prof. Mehen's research. Prof. Mehen has also worked on effective field theory for nonrelativistic particles whose short range interactions are characterized by a large scattering length. This theory has been successfully applied to low energy two- and three-body nuclear processes. Some of Prof. Mehen's work is interdisciplinary. For example, techniques developed for nuclear physics have been used to calculate three-body corrections to the energy density of a Bose-Einstein condensate whose atoms have large scattering lengths. Prof. Mehen has also worked on novel field theories which arise from unusual limits of string theory. Examples include noncommutative field theories and theories of tachyonic modes on non-BPS branes.

**Current Ph.D. Students**(Former Students)- Reggie Bain
- Yiannis Makris
- Dilun Yang
- Jie Hu

**Postdocs Mentored**- Jared Vanasse (2012- present)
- Chul Kim (September 2007 -December 2009)
- Ahmad Idilbi (September, 2006 - February, 2010)
- Brian Tiburzi (September, 2004 - August, 2006)
- Carlos Schat (2002/09-2004/09)

**Recent Publications**(More Publications) (search)- Hornig, A; Kang, D; Makris, Y; Mehen, T,
*Transverse vetoes with rapidity cutoff in SCET*, Journal of High Energy Physics, vol. 2017 no. 12 (December, 2017) [doi] [abs] - Mehen, T,
*Implications of heavy quark-diquark symmetry for excited doubly heavy baryons and tetraquarks*, Physical Review D, vol. 96 no. 9 (November, 2017) [doi] [abs] - Bain, R; Makris, Y; Mehen, T; Dai, L; Leibovich, AK,
*NRQCD Confronts LHCb Data on Quarkonium Production within Jets.*, Physical Review Letters, vol. 119 no. 3 (July, 2017), pp. 032002 [doi] [abs] - Yao, X; Mehen, T; MÃ¼ller, B,
*Dynamical screening of resonant scattering and thermal nuclear scattering rate in a plasma*, Physical Review D, vol. 95 no. 11 (June, 2017) [doi] - Bain, R; Makris, Y; Mehen, T,
*Transverse momentum dependent fragmenting jet functions with applications to quarkonium production*, The Journal of High Energy Physics, vol. 2016 no. 11 (November, 2016) [doi]

- Hornig, A; Kang, D; Makris, Y; Mehen, T,