NEW YORK, May 14 (Reuters) – * A global slowdown in oil drilling amid a price slump is sowing the seeds for a strong price rebound, according to Tony Hayward, chief executive of oil producer Genel Energy GENL.L and ex-chief of oil major BP BP.L . * The Saudi Arabia decision not to cut production despite a price slump has “stopped the growth of U.S. shale dead in its tracks” Hayward said. * The scale of the investment drop and reduction of supply chain in global oil market will lead to a price rise “in not too distant future,” Hayward said. (Reporting By Edward McAllister) (([email protected]; 646 223 6221; Reuters Messaging: [email protected]))