TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The sulfur adsorbent is selected among zinc, copper, or nickel compounds.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: In the process at least a part of the carboxylic acids are esterified with a monohydric alcohol prior to distillation in step a), thus lowering the acid value of the carboxylic acid stream to a level below about 70 mg potassium hydroxide (KOH)/g. The carboxylic acids present in the decarboxylated renewable diesel range fuel formed in step b) are esterified with a monohydric alcohol, thus lowering the acid value of below about 1 mg KOH/g. The hydrogen gas is present during the decarboxylation in step b) in a quantity sufficient to saturate at least a portion of the unsaturated moieties present in the carboxylic acids and/or diesel renewable fuel produced during decarboxylation in step b). The hydrogen gas is consumed by chemical reaction in a quantity corresponding to less than 30 kg per metric ton of carboxylic acids, preferably in a quantity of less than 20 kg per metric ton and most preferred in a quantity less than 10 kg per metric ton of carboxylic acids. The decarboxylated liquid renewable diesel range fuel from step b) is subjected to treatment with hydrogen in a separate hydroprocessing unit, thus forming low sulfur content saturated renewable diesel fuel. The acid value of the of decarboxylated diesel range fuel formed is below about 20 mg KOH/g, preferably below 10 mg KOH/g. The process involves an additional esterification step performed after step c) where the decarboxylated diesel range fuel formed in step b) is esterified with a monohydric alcohol in the presence of a heterogeneous esterification catalyst, thus forming a low corrosivity renewable diesel range fuel with an acid value below about 1 mg KOH/g. The process also involves an additional treatment step for removal of sulfur performed after step c) where the decarboxylated diesel range fuel formed in step b) is treated with an adsorbent thus lowering the sulfur content of the decarboxylated diesel range fuel to a level below 20 ppm, preferably below 10 ppm. Preferred Components: The carboxylic acids with a plant origin charged to step a) comprises cyclic diterpenic carboxylic acids. The cyclic diterpenic acids are present in a quantity of 2 to 25 wt.% of the total quantity of acids charged to step a). The carboxylic acids with a plant origin charged to step a) comprises fatty acids originating from hydrolysis of vegetable oils. The carboxylic acids charged to step a) originates in crude tall oil. EXAMPLE - No suitable example given.