Earlier this year Europe's horsemeat scandal revealed how processed meat can get mislabelled in a complicated supply chain.
However a little bit of meat, even processed meat, had health benefits in the study.
Does eating red meat and processed meat cause cancer and cardiovascular disease and shorten life?
Many studies have linked consumption of red and processed meat to cardiovascular disease and some cancers.
The council said no other processed meat product would be reinstated on the menu.
Several processed meat products have been withdrawn from sale across the UK after horsemeat was detected.
Ms Arens also confirmed that the study's finding that processed meat was linked to heart disease was new.
Professor Wiseman said only a third of people were aware of the link between processed meat and cancer.
It has since swept across Europe, prompting supermarkets in numerous countries to pull processed meat products from their shelves.
Many studies over the years have linked consumption of red and processed meat to cardiovascular disease and some cancers.
The use of processed meat products has been suspended at schools in Sheffield amid the scandal over mislabelled horsemeat.
And NO amount of processed meat is considered safe to eat, according to the American Institute for Cancer Research.
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Last month, the council banned the use of all processed meat products in schools amid the scandal over mislabelled horsemeat.
The survey by Which? found that 60% of 2, 000 adults questioned online had changed how they shop, with many now buying less processed meat.
The figures for processed meat were higher, 20% for overall mortality, 21% for death from heart problems and 16% for cancer mortality.
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The UK government recommends eating no more than 70g of red or processed meat - two slices of bacon - a day.
She said even good quality ham or sausages were still classed as processed meat, while homemade burgers using fresh meat were not.
Work is now under way to ensure Scottish-based manufacturers of processed meat products have the right measures in place to prevent contamination.
Mr Jones said the only processed meat the company offers is sausages.
Tests for horsemeat in processed meat products have now been expanded to look at foodstuffs labelled as containing beef as a major ingredient.
Made of pork shoulder, ham, salt and water, all compressed in a can, the processed meat product became popular during World War II.
They have been urged to check whether or not processed meat products coming from the plants in question were still on the market, he added.
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Sheffield City Council said it had been given assurances by its suppliers but had stopped the use of all processed meat products as a precaution.
Eating processed meat products carry an increased long-term risk of cancer.
The statistics of health issues associated with processed meat are staggering.
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Ursula Arens from the British Dietetic Association told BBC Radio 4's Today programme that putting fresh meat through a mincer did not make it processed meat.
The uproar over dubious processed meat has international ramifications, with companies in Poland and France involved as well as some in the United Kingdom and Ireland.
She said if everyone in the study consumed no more than 20g of processed meat a day then 3% of the premature deaths could have been prevented.
There are now calls for more specific labelling on processed meat products in the EU, to show country of origin, as in the case of fresh meat.
Mr Paterson had pressed at the meeting for improved DNA testing of processed meat across the EU in the wake of the horsemeat scandal, which began last month.
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