A 2012 survey of the literature is available here. Some of the peer-reviewed research showing that concealed carry laws reduce violent crime is listed here.
Crime, Deterrence, and Right-to-Carry Concealed Handguns, John R. Lott, Jr. and David B. Mustard, Journal of Legal Studies, 1997
The Effect of Concealed Weapons Laws: An Extreme Bound Analysis by William Alan Bartley and Mark A Cohen, published in Economic Inquiry, April 1998 (Copy available here)
The Concealed‐Handgun Debate, John R. Lott, Jr., Journal of Legal Studies, January 1998
Criminal Deterrence, Geographic Spillovers, and Right-to-Carry Concealed Handguns by Stephen Bronars and John R. Lott, Jr., American Economic Review, May 1998
The Impact of Gun Laws on Police Deaths by David Mustard, published in the Journal of Law and Economics, October 2001
Privately Produced General Deterrence By BRUCE L. BENSON AND BRENT D. MAST, Journal of Law and Economics, October 2001
Does the Right to Carry Concealed Handguns Deter Countable Crimes? Only a Count Analysis Can Say By FLORENZ PLASSMANN AND T. NICOLAUS TIDEMAN, Journal of Law and Economics, October 2001
Testing for the Effects of Concealed Weapons Laws: Specification Errors and Robustness By CARLISLE E. MOODY, Journal of Law and Economics, October 2001
Right-to-Carry Concealed Weapon Laws and Homicide in Large U.S. Counties: The Effect on Weapon Types, Victim Characteristics, and Victim-Offender Relationships By DAVID E. OLSON AND MICHAEL D. MALTZ, Journal of Law and Economics, October 2001
The Impact of Banning Juvenile Gun Possession By Thomas B. Marvell, Journal of Law and Economics, October 2001
Safe-Storage Gun Laws: Accidental Deaths, Suicides, and Crime By JOHN R. LOTT, JR., AND JOHN E. WHITLEY, Journal of Law and Economics, October 2001
Confirming More Guns, Less Crime by Florenz Plassmann and John Whitley, published in the Stanford Law Review, 2003
Measurement Error in County-Level UCR Data by John R. Lott, Jr. and John Whitley, published in the Journal of Quantitative Criminology, June 2003, Volume 19, Issue 2, pp 185-198
Using Placebo Laws to Test “More Guns, Less Crime” by Eric Helland and Alexander Tabarrok, published in Advances in Economic Analysis and Policy, 4 (1): Article 1, 2004
Multiple Victim Public Shootings, Bombings, and Right-to-Carry Concealed Handgun Laws: Contrasting Private and Public Law Enforcement By John R. Lott, Jr. and William Landes, published in The Bias Against Guns
More Readers of Gun Magazines, But Not More Crimes by Florenz Plassmann and John R. Lott, Jr.
“More Guns, Less Crime” by John R Lott, Jr. (University of Chicago Press, 2010, 3rd edition).
“The Debate on Shall-Issue Laws” by Carlisle e. Moody, Thomas B. Marvell, Paul R Zimmerman, and Fasil Alemante published in Review of Economics & Finance, 2014
“An examination of the effects of concealed weapons laws and assault weapons bans on state-level murder rates” by Mark Giusa published in Applied Economics Letters, Volume 21, Issue 4, 2014
“The Debate on Shall-Issue Laws” by Carlisle e. Moody and Thomas B. Marvell, published in Econ Journal Watch, volume 5, number 3, September 2008 It is also available here..
“The Debate on Shall Issue Laws, Continued” by Carlisle e. Moody and Thomas B. Marvell, published in Econ Journal Watch, Volume 6, Number 2 May 2009
“Did John Lott Provide Bad Data to the NRC? A Note on Aneja, Donohue, and Zhang” by Carlisle e. Moody, John R Lott, Jr, and Thomas B. Marvell, published in Econ Journal Watch, Volume 10, Number 1, January 2013
“On the Choice of Control Variables in the Crime Equation” by Carlisle E. Moody and Thomas B. Marvell, Oxford Bulletin of Economics and Statistics, Volume 72, Issue 5, pages 696–715, October 2010.
More Guns, Less Crime: A Response to Ayres and Donohue’s 1999 book review in the American Law and Economics Review by John R. Lott, Jr.
Right-to-Carry Laws and Violent Crime Revisited: Clustering, Measurement Error, and State-by-State Break downs by John R. Lott, Jr.
For the data errors in the one published paper by Aneja, Donohue, and Zhang that claims to find a bad effect from right-to-carry laws on aggravated assaults see this paper.
In addition, Aneja, Donohue, and Zhang have retracted their original claim that the my research could not be replicated. Their argument was that Aneja, Donohue, and Zhang could not replicate the replication work done by the National Research Council that had replicated my research. In an Erratum note published in October 2012 they concede: “Subsequent to the publication of this article, members of the NRC panel demonstrated to the authors that the results in question were replicable if the authors used the data and statistical models described in Chapter 6 of the NRC (2004) report.”
Another recent paper by Charles D. Phillips, Obioma Nwaiwu, Szu-hsuan Lin, Rachel Edwards, Sara Imanpour, and Robert Ohsfeldt in the Journal of Criminology is discussed here.